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← JEE Main 2022 · 30 Jun · Shift 1
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JEE Main 2022 · 30 Jun · Shift 1, Mathematics question 18

If a random variable X follows the Binomial distribution B(5,p)B(5,p) such that P(X=0)=P(X=1)P(X=0)=P(X=1), then P(X=2)P(X=3)\dfrac{P(X=2)}{P(X=3)} is equal to :

Choose one option
Answer and worked solution

Official answer: D

Condition. q5=5pq4q^5=5pq^4 gives q=5pq=5p, p=16p=\frac16.

Ratio. P(2)P(3)=qp=5\dfrac{P(2)}{P(3)}=\dfrac qp=5.

(D)

Topics:Binomial distribution
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