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. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A.The result from part a, since it is the exact probability being asked. B.the result from part a, since it less than the probability of the given or more extreme result. C.the result from part b, since it is the probability of the given or more extreme result. D.the result from part b, since it is the complement of the result of part a. d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. Table: Number of girls (x) P(x) 0 0.003 1 0.006 2 0.101 3 0.254 4 0.272 5 0.254 6 0.101 7 0.006 8 0.003

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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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.

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

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

b. Find the probability of getting 6 or more girls in 8 births.

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

c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)?

A.The result from part a, since it is the exact probability being asked.

B.the result from part a, since it less than the probability of the given or more extreme result.

C.the result from part b, since it is the probability of the given or more extreme result.

D.the result from part b, since it is the complement of the result of part a.

d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event.

Table:

Number of girls (x) P(x)

0 0.003

1 0.006

2 0.101

3 0.254

4 0.272

5 0.254

6 0.101

7 0.006

8 0.003

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