IITM BS Question 5 - Week 10 Practice

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IITM BS Question 5 - Week 10 Practice | Prasnya

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Q5Numerical3 Marks31 Aug 2025

Let X be a random variable with

\mathbb{E}[X]

= 5 and

\operatorname{\operatorname{Var}}(X)

= 9. Define a new random variable Y = aX - b where a and b are constants with a > 0. Find the value of b such that

\mathbb{E}[Y]

= 0 and

\operatorname{\operatorname{Var}}(Y)

= 1. Enter the answer correct to two decimal places.

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31 Aug 2025

Statistics 1 · Week 10

Q5.Let X be a random variable with

\mathbb{E}[X]

= 5 and

\operatorname{\operatorname{Var}}(X)

= 9. Define a new random variable Y = aX - b where a and b are constants with a > 0. Find the value of b such that

\mathbb{E}[Y]

= 0 and

\operatorname{\operatorname{Var}}(Y)

= 1. Enter the answer correct to two decimal places.

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