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 P(x)
0 . 0.002
1 0.024
2 0.118
3 0.199
4 0.314
5 0.199
6 0.118
7 0.024
8 0.002
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 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 fewer than 6 girls is the complement of the result from part (b), this 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.Yes, since the appropriate probability is less than 0.05, it is a significantly high number.
B. No, since the appropriate probability is less than 0.05, it is not a significantly high number.
C. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number.
D. No, since the appropriate probability is greater than 0.05, it is not a significantly high number.
Solution:-
a) The probability of getting exactly 6 girls in 8 births is 0.118.
b) The probability of getting 6 or more girls in 8 births is 0.144.
P(x > 6) = P(x= 6) + P(x =7) + P(x = 8)
P(x > 6) = 0.144
c) C) Since the probability of getting fewer than 6 girls is the complement of the result from part (b), this is the relevant probability.
d) D) No, since the appropriate probability is greater than 0.05, it is not a significantly high number.
The accompanying table describes results from groups of 8 births from 8 different sets of parents....
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...
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 & 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...
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 birthsb. Find the probability of getting 6 or more girls in 8 births c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a)...
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable 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. b. Find the probability of getting 6 or more girls in 8 births. 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...
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