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# Solved: In Exercises, assume that 400 births are randomly

ISBN: 9780321836960 18

## Solution for problem 10BSC Chapter 4.2

Elementary Statistics | 12th Edition

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Problem 10BSC

In Exercises, assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that the result is far from what is typically expected.

Exactly 380 girls.

Step-by-Step Solution:

Step 1 of 5</p>

you have to consider that there are so many possibilities from 0 girls to 400 girls. of course (assuming boys/girls are equally likely), around 200 girls will be the highest probability zone, but "exactly" 308 makes it unlikely.

Step 2 of 5</p>

Random Variable: X = # of girls in 400 births.

X is a Binomial Random Variable. Normal Approximation to Binomial?.

Assume p = 0.5; n = 400; q = 0.5.

n.p = n.q = 200 ≥ 5. (It is Ok to use the Normal approximation)

Step 3 of 5</p>

Find µ and σ for the Normal distribution.

For a Binomial Random Variable:

µ = n.p = 400(0.5)=200

σ = =  = 100

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321836960

The full step-by-step solution to problem: 10BSC from chapter: 4.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Since the solution to 10BSC from 4.2 chapter was answered, more than 340 students have viewed the full step-by-step answer. The answer to “In Exercises, assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that the result is far from what is typically expected.Exactly 380 girls.” is broken down into a number of easy to follow steps, and 42 words. This full solution covers the following key subjects: whether, determine, judgment, BSC, assume. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12.

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