Math Problem Statement

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Part 1

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below.

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Part 1

a. Find the probability of getting exactly 6 girls in 8 births.

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​(Type an integer or a decimal. Do not​ round.)

Number of

Girls x

​P(x)

0

0.001

1

0.039

2

0.117

3

0.197

4

0.292

5

0.197

6

0.117

7

0.039

8

0.001

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Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

P(x) = C(n, x) * p^x * (1-p)^(n-x)
Binomial Probability Formula

Theorems

Binomial Theorem

Suitable Grade Level

Grades 10-12