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CHAPTER 5: Normal, Binomial, Poisson, and Exponential Distributions
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Page | 2/4 | Date | 14.12.2021 | Size | 55.59 Kb. | | #57903 |
| 527458600-Data-Analysis-and-Decision-Making-4th-Edition-by-S-Christian-Albright-Test-BankCHAPTER 5: Normal, Binomial, Poisson, and Exponential Distributions
MULTIPLE CHOICE
The higher the value of the density function f(x),
a.
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the less likely the value x
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c.
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the less likely the distribution is normal
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b.
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the more likely the value x
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d.
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None of the above
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ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Tossing a coin is an example of a (n)
a.
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binomial distribution
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c.
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exponential distribution
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b.
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normal distribution
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d.
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Poisson distribution
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
We assume that the outcomes of successive trials in a binomial experiment are:
a.
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probabilistically independent
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c.
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identical from trial to trial
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b.
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probabilistically dependent
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d.
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random number between 0 and 1
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
One reason for standardizing random variables is to measure variables with:
a.
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different means and standard deviations on a non-standard scale
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b.
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different means and standard deviations on a single scale
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c.
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dissimilar means and standard deviations in like terms
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d.
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similar means and standard deviations on two scales
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ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?
ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The normal distribution is:
a.
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a discrete distribution with two parameters
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b.
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a binomial distribution with only one parameter
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c.
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a density function of a discrete random variable
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d.
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a continuous distribution with two parameters
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The standard deviation of a probability distribution is a:
a.
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measure of variability of the distribution
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c.
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measure of relative likelihood
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b.
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measure of central location
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d.
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measure of skewness of the distribution
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The mean of a probability distribution is a:
a.
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measure of variability of the distribution
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c.
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measure of relative likelihood
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b.
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measure of central location
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d.
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measure of skewness of the distribution
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ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If we plot a continuous probability distribution f(x), the total probability under the curve is
ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
A continuous probability distribution is characterized by:
a.
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a list of possible values
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c.
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an array of individual values
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b.
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counts
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d.
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a continuum of possible values
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Which of the following equations shows the process of standardizing?
ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
A Poisson distribution is:
a.
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relevant when we sample from a population with only two types of members.
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b.
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relevant when we perform a series of independent, identical experiments with only two possible outcomes.
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c.
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usually relevant when we are interested in the number of events that occur over a given interval of time
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d.
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the cornerstone of statistical theory
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e.
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All of the above
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ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The standard normal distribution has a mean and a standard deviation respectively equal to
a.
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0 and 0
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c.
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1 and 0
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b.
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1 and 1
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d.
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0 and 1
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Sampling done without replacement means that
a.
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only certain members of the population can be sampled
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b.
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each member of the population can be sampled repeatedly
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c.
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each member of the population can be sampled only once
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d.
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each member of the population can be sampled twice
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ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The Poisson random variable is a:
a.
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discrete random variable with infinitely many possible values
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b.
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discrete random variable with finite number of possible values
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c.
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continuous random variable with infinitely many possible values
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d.
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continuous random variable with finite number of possible values
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Which probability distribution applies to the number of events occurring within a specified period of time or space
a.
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Binomial distribution
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c.
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Any discrete probability distribution
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b.
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Poisson distribution
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d.
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Any continuous probability distribution
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ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Which of the following might not be appropriately modeled with a normal distribution?
a.
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The daily low temperature in Anchorage, Alaska
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b.
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The returns on a stock
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c.
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The daily change in inventory at a computer manufacturer
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d.
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The salaries of employees at a large company
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The variance of a binomial distribution for which n = 100 and p = 0.20 is:
ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The binomial probability distribution is used with
a.
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a discrete random variable
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b.
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a continuous random variable
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c.
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either a discrete or a continuous random variable, depending on the variance
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d.
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either a discrete or a continuous random variable, depending on the sample size
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Given that Z is a standard normal random variable, P(-1.0Z1.5) is
a.
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0.7745
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c.
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0.0919
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b.
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0.8413
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d.
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0.9332
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Given that Z is a standard normal variable, the value z for which P(Z z) = 0.2580 is
a.
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0.70
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c.
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-0.65
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b.
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0.758
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d.
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0.242
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ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If the random variable X is exponentially distributed with parameter = 3, then P(X 2) , up to 4 decimal places , is
a.
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0.3333
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c.
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0.6667
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b.
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0.5000
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d.
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0.0025
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If the random variable X is exponentially distributed with parameter = 1.5, then P(2X 4), up to 4 decimal places, is
a.
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0.6667
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c.
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0.5000
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b.
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0.0473
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d.
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0.2500
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ANS: B PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If X is a normal random variable with a standard deviation of 10, then 3X has a standard deviation equal to
ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 X 90) is
a.
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0.5328
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c.
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0.1915
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b.
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0.3413
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d.
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0.1498
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ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
The Poisson and Exponential distributions are commonly used in which of the following applications
a.
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Inventory models
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c.
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Failure analysis models
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b.
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Financial models
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d.
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All of these options
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ANS: A PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
Which of the following distributions is appropriate to measure the length of time between arrivals at a grocery checkout counter?
a.
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Uniform
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c.
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Exponential
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b.
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Normal
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d.
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Poisson
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ANS: C PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
If the mean of an exponential distribution is 2, then the value of the parameter is
ANS: D PTS: 1
MSC: AACSB: Analytic | AACSB: Probability Distributions
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