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 0.003 1 0.014 2 0.106 3 0.235 4 0.284 5 0.235 6 0.106 7 0.014 8 0.003 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)? A. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. B. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. C. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. D. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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 0.003
1 0.014
2 0.106
3 0.235
4 0.284
5 0.235
6 0.106
7 0.014
8 0.003

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.

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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