# Let X ? Bin(7, 0.3). Finda. P(X = 1)________________b. P(X

## Problem 1E Chapter 4.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

Let X ∼ Bin(7, 0.3). Find

a. P(X = 1)

b. P(X = 2)

c. P(X < 1)

d. P(X > 4)

e. μx

f.

Step-by-Step Solution:

Step 1 of 7:

Let X follows binomial distribution with probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

We have binomial distribution with n = 7 and p = 0.3

Step 2 of 7:

The claim is to find the  P(x = 1)

The probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Where, n = 7, p = 0.3 and x = 1

Therefore, P(x = 1) =  (1 - 0.3

= (7) (0.3) (0.11765)

= 0.2471

Hence,  P(x = 1) = 0.2471

Step 3 of 7:

The claim is to find the  P(x = 2)

The probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Where, n = 7, p = 0.3 and x = 2

Therefore, P(x = 2) =  (1 - 0.3

= (21) (0.09) (0.16807)

= 0.3176

Hence,  P(x = 2) = 0.3176.

Step 4 of 7:

The claim is to find the  P(x < 1) = P( x = 0)

The probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Where, n = 7, p = 0.3 and x = 0

Therefore, P(x = 0) =  (1 - 0.3

= (1) (1) (0.08235)

= 0.08235

Hence,  P(x < 1) = 0.08235.

Step 5 of 7

Step 6 of 7

##### ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th. The answer to “Let X ? Bin(7, 0.3). Finda. P(X = 1)________________b. P(X = 2)________________c. P(X < 1)________________d. P(X > 4)________________e. ?x________________f.” is broken down into a number of easy to follow steps, and 19 words. This full solution covers the following key subjects: bin, Find, let. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 1E from 4.2 chapter was answered, more than 408 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1E from chapter: 4.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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