Let X1,X2, . . . ,X48 be a random sample of size 48 from

Chapter 5, Problem 5E

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QUESTION:

Problem 5E

Let X1,X2, . . . ,X48 be a random sample of size 48 from the distribution with pdf f (x) = 1/x2, 1 < x < ∞. Approximate the probability that at most 10 of these random variables have values greater than 4. Hint: Let the ith trial be a success if Xi > 4, i = 1, 2, . . . , 48, and let Y equal the number of successes.

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QUESTION:

Problem 5E

Let X1,X2, . . . ,X48 be a random sample of size 48 from the distribution with pdf f (x) = 1/x2, 1 < x < ∞. Approximate the probability that at most 10 of these random variables have values greater than 4. Hint: Let the ith trial be a success if Xi > 4, i = 1, 2, . . . , 48, and let Y equal the number of successes.

ANSWER:

Step 1 of 4

Given that,

Let  be a random sample of size 48 from the distribution with pdf .

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