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Andrews [41]
2 years ago
8

A binomial discrete random variable, X has a mean

Mathematics
1 answer:
kompoz [17]2 years ago
5 0

Since <em>X</em> follows a binomial distribution, its mean and variance are

<em>np</em> = 3

<em>np</em> (1 - <em>p</em>) = 2

Substitute <em>np</em> = 3 in to the second equation to solve for <em>p</em> :

3 (1 - <em>p</em>) = 2

1 - <em>p</em> = 2/3

<em>p</em> = 1/3

Solve for <em>n</em> :

<em>n</em> (1/3) = 3

<em>n</em> = 9

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