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. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. nothing ​(Type an integer or a decimal. Do not​ round.) b. Find the probability of getting 6 or more girls in 8 births. nothing ​(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 6 girls is the result from part​ (a), this is the relevant probability. B. 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. C. Since the probability of getting 7 or 8 girls includes getting 6​ girls, the result from part​ (b) is the relevant probability. D. Since the probability of getting fewer than 6 girls is the complement of the result from part​ (b), 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 greater than​ 0.05, it is not a significantly high number. B. ​Yes, since the appropriate probability is greater than​ 0.05, it is a significantly high number. C. ​Yes, since the appropriate probability is less than​ 0.05, it is a significantly high number. D. ​No, since the appropriate probability is less than​ 0.05, it is not a significantly high number.

Number of Girls P(x)

0 0.003

1 0.038

2 0.102

3    0.223

4 0.268

5 0.223

6 0.102

7 0.038

8 0.003

Answer 1

a) probability of getting exactly 6 girls in 8 births =0.102

b)

probability of getting 6 or more girls in 8 births =0.102+0.038+0.003 =0.143

c)

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

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