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JEE MATHEMATICS MCQ: PROBABILITY

1 Easy

1 of 1

Application +4 | -1

If

X

follows a binomial distribution with parameters

n = 6

and

p.

If

4\left( {P\left( {X = 4} \right)} \right) = P\left( {X = 2} \right),

then

p =

View answer and explanation

Correct option: D

1/3

Option D (1/3) is correct because solving the equation

4P(X=4) = P(X=2)

for a binomial distribution with n=6 yields p=1/3.

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\begin{array}{cccccc}X: & 1 & 2 & 3 & 4 & 5 \\ P(X): & k^2 & 2 k & k & 2 k & 5 k^2\end{array}

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B

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