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Togus Bash
STATISTICS
-
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
-
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
-
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.
Togus Bash
STATISTICS
-
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
-
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 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
-
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 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
-
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.
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STATISTICS
Inferential Statistics
Time Series Analysis
Probability Distributions
Statistics
