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Togus Bash
STATISTICS

Probability Distributions
In an exponential distribution, what is the cumulative distribution function?
A. F(x) = 1  e^(?x).
B. F(x) = (?^x * e^(?)) / x!.
C. F(x) = (1/sv(2p)) * e^((x?)^2 / (2s^2)).
D. F(x) = p * (1p)^(x1.
Togus Bash
STATISTICS

Probability Distributions
What is the purpose of the normal approximation to the binomial distribution when n is large and p is close to 0
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

Probability Distributions
In a Poisson distribution, what is the variance?
A. ?.
B. 1/?.
C. ?^2.
D. v?.
Togus Bash
STATISTICS

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

Probability Distributions
In a hypergeometric distribution, what is the variance?
A. n * (Nn) * (Nn1) / (N^2 * (N1)).
B. n * (Nn) / N.
C. n * p * (1p).
D. n * (1p).
Togus Bash
STATISTICS

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

Probability Distributions
In a geometric distribution, what is the variance?
A. p/(1p).
B. 1/p.
C. (1p)/p^2.
D. p^2/(1p)^2.
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.
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 * (1p)^(x1).
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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STATISTICS
Inferential Statistics
Time Series Analysis
Probability Distributions
Statistics
? means here λ.