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 0.009 2 0.112 3 0.232 4 0.290 5 0.232 6 0.112
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 0.009 2 0.112 3 0.232 4 0.290 5 0.232 6 0.112
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
Number of Girls x P(x)
0 0.002
1 0.009
2 0.112
3 0.232
4 0.290
5 0.232
6 0.112
7 0.009
8 0.002
0 0.002
1 0.009
2 0.112
3 0.232
4 0.290
5 0.232
6 0.112
7 0.009
8 0.002
a. Find the probability of getting exactly 1 girl in 8 births.
(type an integer or a decimal. do not round)
b. Find the probability of getting 1 or fewer girls in 8 births.
(type an integer or a decimal. do not round)
c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)?
Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability.
Since the probability of getting 1 girl is the result from part (a), this is the relevant probability.
Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability.
Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability.
d. Is 1 a significantly low 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 low number.
Yes, since the appropriate probability is greater than 0.05, it is a significantly low number.
No, since the appropriate probability is less than 0.05, it is not a significantly low number.
No, since the appropriate probability is greater than 0.05, it is not a significantly low number.
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