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JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 27 June 2022, Shift 1, Maths Q17

Question 17 of 90 in this shift, Maths question 17 of 30, Section A.

Let X be a random variable having binomial distribution

B(7, p)

. If

P(X=3)=5P(X=4)

, then the sum of the mean and the variance of X is :

(1) $\frac{105}{16}$
(2) $\frac{7}{16}$
(3) $\frac{77}{36}$ Official answer
(4) $\frac{49}{16}$

Official answer

Option 3

NTA final key.

Chapter: Probability
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.