IITM BS Question 10 - Week 7 Practice

Prasnya

IITM BS Question 10 - Week 7 Practice | Prasnya

00:00

Q10Comprehension1 Mark10 May 2026

Passage

Let

X

be a random variable with mean

\mu

and variance

\sigma^2

. Let

\bar{X}_1

and

\bar{X}_2

be the sample means of two independent random samples of sizes

n_1

and

n_2

, respectively, drawn from the distribution of

X

. Consider the estimator

\hat{\mu} = a\bar{X}_1 + b\bar{X}_2

, where

a

and

b

are constants such that

a + b = 1

. Based on the above data, answer the given subquestions.

Calculate the value for

\mathbf{E}

. Enter the answer correct to two decimal places.

Your answer

Press Enter to check.

Q10

00:00

10 May 2026

Statistics 2 · Week 7

Q10.Calculate the value for

\mathbf{E}

. Enter the answer correct to two decimal places.@passage

Your Answer

Save

Read

Check

Details