A binomial discrete random variable, X has a mean
1 answer:
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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