Togus Bash STATISTICS - Probability Distributions

In a geometric distribution, what is the variance?

A. p/(1-p). B. 1/p. C. (1-p)/p^2. D. p^2/(1-p)^2.

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Togus Bash STATISTICS - Probability Distributions

What is the relationship between the Poisson and exponential distributions?

A. Poisson distribution models the number of events in a fixed interval, while exponential distribution models the time between events. B. Poisson distribution is always exponential. C. Exponential distribution is always Poisson. D. There is no relationship between the two distributions.

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Togus Bash STATISTICS - Probability Distributions

In a normal distribution, what is the probability density function?

A. f(x) = (1/sv(2p)) * e^(-(x-?)^2 / (2s^2)). B. f(x) = ? * e^(-?x). C. f(x) = (?^x * e^(-?)) / x!. D. f(x) = p * (1-p)^(x-1).

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Togus Bash STATISTICS - Probability Distributions

What is the purpose of the Central Limit Theorem in the context of probability distributions?

A. To show that the sampling distribution of the mean approaches a normal distribution as the sample size increases. B. To prove that all probability distributions are normal. C. To simplify calculations involving probability distributions. D. To make inferences about population parameters.

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Togus Bash STATISTICS - 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).

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Togus Bash STATISTICS - 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.

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Togus Bash STATISTICS - 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).

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Togus Bash STATISTICS - 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.

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Togus Bash STATISTICS - 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).

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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.

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In a geometric distribution, what is the variance?

What is the relationship between the Poisson and exponential distributions?

In a normal distribution, what is the probability density function?

What is the purpose of the Central Limit Theorem in the context of probability distributions?

In a binomial distribution, what is the expected number of successes?

What is the relationship between the normal and exponential distributions?

In a hypergeometric distribution, what is the expected number of successes?

What is the purpose of the lognormal distribution?

In a Poisson distribution, what is the probability mass function?

What is the relationship between the normal and uniform distributions?

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