Question 5 of 30

Passage question

00:00Est. 2 min

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Passage

A researcher collects two independent random samples of size

100

each from the same population with mean

\mu

and variance

\sigma^2

. Let

\bar X_1

and

\bar X_2

be the sample means. It is given that

\operatorname{Var}(\bar X_1-\bar X_2)=72

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

Question

Y=\bar X_1-\bar X_2

, use Chebyshev’s inequality to find a lower bound for

P(|Y|<18)

. Enter the answer correct to two decimal places.

ComprehensionMedium Difficulty03 August 2025

Your answer