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Statistics and Probability

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Obtaining Mean and Variance of a Binomial Random Variable

STATS-XYDXG0

Suppose a person has an $60\%$ chance of getting rejected for a date when asking someone out. Note that this probability holds true regardless of who they ask to go on a date.

If they have a plan of asking out $20$ people, what is the mean and variance of the number of dates they can expect to get?

A

mean$=12$, variance$=4.8$

B

mean$=8$, variance$=4.8$

C

mean$=12$, variance is not $4.8$ or cannot be determined

D

mean$=8$, variance is not $4.8$ or cannot be determined

E

mean cannot be determined, variance$=4.8$

F

mean cannot be determined, variance cannot be determined