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Togus Bash
STATISTICS
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Probability Distributions
In a hypergeometric distribution, what is the probability mass function?
A. P(X=x) = (C(n,x) * C(N-n,n-x)) / C(N,n).
B. P(X=x) = (n!/(x!(n-x)!)) * p^x * (1-p)^(n-x).
C. P(X=x) = ?^x * e^(-?) / x!.
D. P(X=x) = p * (1-p)^(x-1).
Togus Bash
STATISTICS
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Probability Distributions
What is the purpose of the Poisson approximation to the binomial distribution when n is large and p is small?
A. To simplify calculations.
B. To make the binomial distribution discrete.
C. To make the binomial distribution continuous.
D. To make the binomial distribution normal.
Togus Bash
STATISTICS
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Probability Distributions
In a geometric distribution, what is the probability mass function?
A. P(X=x) = p * (1-p)^(x-1).
B. P(X=x) = (1-p)^(x-1) * p.
C. P(X=x) = p^x * (1-p)^(n-x).
D. P(X=x) = n!/(x!(n-x)!) * p^x * (1-p)^(n-x).
Togus Bash
STATISTICS
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Probability Distributions
What is the relationship between the normal and lognormal distributions?
A. Lognormal distribution is the logarithm of a normal distribution.
B. Normal distribution is the logarithm of a lognormal distribution.
C. There is no relationship between the two distributions.
D. Lognormal distribution is always normal.
Togus Bash
STATISTICS
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Probability Distributions
In a binomial distribution, what is the probability mass function?
A. P(X=x) = n!/(x!(n-x)!) * p^x * (1-p)^(n-x).
B. P(X=x) = ?^x * e^(-?) / x!.
C. P(X=x) = (N-n)!/(x!(n-x)!) * p^x * (1-p)^(n-x).
D. P(X=x) = (N!/(x!(N-x)!)) * p^x * (1-p)^(N-x).
Togus Bash
STATISTICS
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Probability Distributions
What is the purpose of the Poisson process?
A. To model the number of events in a fixed interval of time or space.
B. To model the time between events.
C. To model the number of events in a continuous time interval.
D. To model the number of events in a discrete time interval.
Togus Bash
STATISTICS
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Probability Distributions
In a normal distribution, what does the 95% confidence interval represent?
A. 95% of the data lies within the interval.
B. 95% of the population lies within the interval.
C. 95% of the time the sample mean will fall within the interval.
D. 95% of the time the population mean will fall within the interval.
Togus Bash
STATISTICS
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Probability Distributions
What is the relationship between the mean and variance in an exponential 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 not necessarily equal.
Togus Bash
STATISTICS
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Probability Distributions
In a hypergeometric distribution, what is the main assumption?
A. Sampling is done with replacement.
B. Sampling is done without replacement.
C. Population size is infinite.
D. Events occur independently.
Togus Bash
STATISTICS
-
Probability Distributions
What is the purpose of the Poisson 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 normal.
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