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Statistics and Probability

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Solving for Parameters in a Binomial Probability Mass Function

STATS-GKGHFN

Suppose a student was copying down a professor's example on Binomial probability mass functions. In the process, the student miscopied and wrote down the probability expression for some Binomial random variable $X$ given $P(X=5)={m \choose 5}p^{5}(.65)^{10}$.

Which of the following best describes the values of $m$ and $p$ which should have been copied as numbers?

A

$m=5$ and $p=.65$

B

$m=5$ and $p=.35$

C

$m=10$ and $p=.35$

D

$m=15$ and $p=.65$

E

$m=15$ and $p=.35$

F

At least one of $p$ or $m$ cannot be determined.