The accompanying table describes results from groups of 8 births from 8 differen

Question

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.

Number of girls(x) and P(x)

0 0.003

1 0.012

2 0.104

3 0.219

4 0.324

5 0.219

6 0.104

7 0.012

8 0.003

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. Since the probability of getting 7 or 8 girls includes getting 6? girls, the result from part? (b) is the relevant probability.

B. Since the probability of getting fewer than 6 girls is the complement of the result from part?(b), this is the relevant probability.

C. Since the probability of getting 7 or 8 girls is less likely than getting 6? girls, the result from part? (a) is the relevant probability.

D. Since the probability of getting 6 girls is the result from part? (a), this is the relevant probability.

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.

A. ?No, since the appropriate probability is less than? 0.05, it is not a significantly high number.

B. ?Yes, since the appropriate probability is less than? 0.05, it is a significantly high number.

C. ?No, since the appropriate probability is greater than? 0.05, it is not a significantly high number.

D. ?Yes, since the appropriate probability is greater than? 0.05, it is a significantly high number.

Explanation / Answer

Solution:-

a) P(x = 6) =  0.104

b) P(x >= 6) = P(6) + P(7) + P(8)

= 0.104 + 0.012 + 0.003

=  0.119

c) option A.

d) option C. No, since the appropriate probability is greater than? 0.05, it is not an unusually high number.

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