The accompanying table describes results from groups of 8 births from 8 differen
ID: 2946318 • Letter: T
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.