Let Y equal the sum of n = 100 Bernoulli trials.That is, Y

Chapter 5, Problem 16E

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QUESTION:

Problem 16E

Let Y equal the sum of n = 100 Bernoulli trials.

That is, Y is b(100, p). For each of (i) p = 0.1, (ii) p = 0.5, and (iii) p = 0.8,

(a) Draw the approximating normal pdfs, all on the same graph.

(b) Find P( |Y/100 − p| ≤ 0.015), approximately.

Questions & Answers

QUESTION:

Problem 16E

Let Y equal the sum of n = 100 Bernoulli trials.

That is, Y is b(100, p). For each of (i) p = 0.1, (ii) p = 0.5, and (iii) p = 0.8,

(a) Draw the approximating normal pdfs, all on the same graph.

(b) Find P( |Y/100 − p| ≤ 0.015), approximately.

ANSWER:

Step 1 of 3

Given that,

The Y follows a binomial distribution, .

It is required to find the approximating normal PDFs with i) p=0.01, ii) p=0.5, and iii) p=0.8, all on the same graph.

It is required to find  approximately.

 

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