Success TrackerSuccess Tracker
Log inSign up

GATE DA 2026 Set 1 — Question 44

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67MediumBernoulliDiscrete Random VariablesProbability & StatisticsNormalContinuous Random VariablesVariance (Continuous)

Probability & Statistics → Continuous Random Variables → Bernoulli

Last updated

Question

Let XX and YY be two independent random variables. XX follows Bernoulli(p=0.3)Bernoulli(p = 0.3) distribution and YY follows Normal(μ=0,σ2=100)Normal(\mu = 0, \sigma^2 = 100) distribution.
Which of the following options is the variance of (2X−1)Y(2X - 1)Y?
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE DA question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Continuous Random Variables

2026 Set 1 Q7Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12,…2026 Set 1 Q19Let MM be a randomly chosen non-empty subset of S={1,2,3,…,2026}S = \{1, 2, 3, \dots, 2026\}. Which of the…2026 Set 1 Q20Suppose that a computer program provides a non-negative and integer-valued random solution to the…2026 Set 1 Q28Suppose a random variable ZZ follows Normal(μ=0,σ2=1)Normal(\mu = 0, \sigma^2 = 1) distribution with probability…2026 Set 1 Q33The number of bijections f(⋅)f(\cdot) from the set S={1,2,3,4}S = \{1, 2, 3, 4\} to itself such that…