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Togus Bash
STATISTICS
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Probability Distributions
In a binomial distribution, what is the expected number of successes?
A. n * p.
B. n * (1-p).
C. n * (n-1) * p^2.
D. n * (n-1) * p * (1-p).
Togus Bash
STATISTICS
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Probability Distributions
What is the relationship between the normal and exponential distributions?
A. Exponential distribution is the reciprocal of a normal distribution.
B. Normal distribution is the reciprocal of an exponential distribution.
C. There is no relationship between the two distributions.
D. Exponential distribution approaches normal distribution as the rate parameter increases.
Togus Bash
STATISTICS
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Probability Distributions
In a hypergeometric distribution, what is the expected number of successes?
A. n * (N-n)/N.
B. n * p.
C. n * (1-p).
D. n * (N-n).
Togus Bash
STATISTICS
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Probability Distributions
What is the purpose of the lognormal distribution?
A. To model variables that are the product of many independent random variables.
B. To model variables that are the sum of many independent random variables.
C. To model variables that are always positive.
D. To model variables that are always negative.
Togus Bash
STATISTICS
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Probability Distributions
In a Poisson distribution, what is the probability mass function?
A. P(X=x) = ?^x * e^(-?) / x!.
B. P(X=x) = (n!/(x!(n-x)!)) * p^x * (1-p)^(n-x).
C. P(X=x) = (1/sv(2p)) * e^(-(x-?)^2 / (2s^2)).
D. P(X=x) = p * (1-p)^(x-1).
Togus Bash
STATISTICS
-
Probability Distributions
What is the relationship between the normal and uniform distributions?
A. Uniform distribution approaches normal distribution as the range increases.
B. Normal distribution is always uniform.
C. Uniform distribution is always normal.
D. There is no relationship between the two distributions.
Togus Bash
STATISTICS
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Probability Distributions
In a geometric distribution, what is the expected number of failures before the first success?
A. 1/p.
B. p.
C. 1-p.
D. p/(1-p).
Togus Bash
STATISTICS
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Probability Distributions
What is the purpose of the normal approximation to the binomial distribution?
A. To simplify calculations.
B. To make the binomial distribution discrete.
C. To make the binomial distribution continuous.
D. To make the binomial distribution skewed.
Togus Bash
STATISTICS
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Probability Distributions
In an exponential distribution, what is the probability density function?
A. f(x) = ? * e^(-?x).
B. f(x) = (?^x * e^(-?)) / x!.
C. f(x) = (1/sv(2p)) * e^(-(x-?)^2 / (2s^2)).
D. f(x) = p * (1-p)^(x-1).
Togus Bash
STATISTICS
-
Probability Distributions
What is the relationship between the mean and variance in a Poisson distribution?
A. Mean is always greater than variance.
B. Variance is always greater than mean.
C. Mean and variance are always equal.
D. Mean and variance are always 1.
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Probability Distributions
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