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# It is claimed that 15% of the ducks in a particular region ISBN: 9780321923271 41

## Solution for problem 4E Chapter 2.4

Probability and Statistical Inference | 9th Edition

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Problem 4E

It is claimed that 15% of the ducks in a particular region have patent schistosome infection. Suppose that seven ducks are selected at random. Let X equal the number of ducks that are infected.

(a) Assuming independence, how is X distributed?

(b) Find (i) P(X ≥ 2), (ii) P(X = 1), and (iii) P(X ≤ 3).

Step-by-Step Solution:

Step 1 of 2:

It is claimed that 15% of the ducks in a particular region patent schistosome infection.

Here sample each bird is a bernoulli trials with success defined as detecting the infection.

Then the probability duck is infected is

P(duck is infected)= 15%

P(duck is infected)= 15/100

P(duck is infected)= 0.15

The random variable x denotes the number of infected ducks in the sample of size n=7.

Therefore x has binomial distribution b(n , p)

We know that n=7 and p = 0.15

X b(7,0.15)

a).

Here we are assuming independence,X distributed is

P(X)= ; x = 0,1,2,...,7

Step 2 of 2

##### ISBN: 9780321923271

The full step-by-step solution to problem: 4E from chapter: 2.4 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. The answer to “It is claimed that 15% of the ducks in a particular region have patent schistosome infection. Suppose that seven ducks are selected at random. Let X equal the number of ducks that are infected.(a) Assuming independence, how is X distributed?(b) Find (i) P(X ? 2), (ii) P(X = 1), and (iii) P(X ? 3).” is broken down into a number of easy to follow steps, and 54 words. Since the solution to 4E from 2.4 chapter was answered, more than 841 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: Ducks, let, distributed, assuming, ind. This expansive textbook survival guide covers 59 chapters, and 1476 solutions.

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