Question

The difference between the plot of a Binomial pmf f(x) and the plot of a Poisson pmf g(x) is that:

As x goes to infinity, f(x) goes to infinity while g(x) goes to 0.

B

As x goes to infinity, f(x) increases while g(x) decreases.

C

f(x) is defined only for the integers from 0 to n, while g(x) is defined for all integers greater or equal to 0.

D

Both increase, reach a max and then decrease, but f(x) is decreasing more rapidly as x goes to infinity than g(x)

The image of a Poisson random variable is:

B

{0,1,2,...}

C

{1,2,3,...}

D

{1,2,3,...,n}

The Poisson random variable counts:

A

The number of successes in n Bernoulli trials of the same parameter p.

B

The number of Bernoulli trials of the same parameter p until the first success.

C

The number of successes in a huge number of trials of extremely small probability of success each of them.

Answer 1

The difference between the plot of a Binomial pmf f(x) and the plot of a Poisson pmf g(x) is that:

C. f(x) is defined only for the integers from 0 to n, while g(x) is defined for all integers greater or equal to 0.

The image of a Poisson random variable is:

B. {0,1,2,...}

The Poisson random variable counts:

C. The number of successes in a huge number of trials of extremely small probability of success each of them.

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