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.   A. Find the probability of getting exactly 1 girl in 8 births. B. Find the probability of getting 1 or fewer girls in 8 births. 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 1 girl is the result from part​ (a), this is the relevant probability.   B.Since the probability of getting 0 girls is less likely than getting 1​ girl, the result from part​ (a) is the relevant probability.   C.Since getting 0 girls is an even lower number of girls than getting 1​ girl, the result from part​ (b) is the relevant probability. This is the correct answer.   D.Since the probability of getting more than 1 girl is the complement of the result from part​ (b), this 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.​No, since the appropriate probability is less than​ 0.05, it is not a significantly low number.   B.No, since the appropriate probability is greater than​ 0.05, it is not a significantly low number.   C.Yes, since the appropriate probability is greater than​ 0.05, it is a significantly low number.   D.Yes, since the appropriate probability is less than​ 0.05, it is a significantly low number.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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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.  

A. Find the probability of getting exactly 1 girl in 8 births.

B. Find the probability of getting 1 or fewer girls in 8 births.

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 1 girl is the result from part​ (a), this is the relevant probability.
 
B.Since the probability of getting 0 girls is less likely than getting 1​ girl, the result from part​ (a) is the relevant probability.
 
C.Since getting 0 girls is an even lower number of girls than getting 1​ girl, the result from part​ (b) is the relevant probability.
This is the correct answer.
 
D.Since the probability of getting more than 1 girl is the complement of the result from part​ (b), this 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.​No, since the appropriate probability is less than​ 0.05, it is not a significantly low number.
 
B.No, since the appropriate probability is greater than​ 0.05, it is not a significantly low number.
 
C.Yes, since the appropriate probability is greater than​ 0.05, it is a significantly low number.
 
D.Yes, since the appropriate probability is less than​ 0.05, it is a significantly low number.
Number of
Girls x
P(x)
0.003
1
0.038
2
0.112
3
0.209
4
0.276
0.209
6.
0.112
7
0.038
8
0.003
Transcribed Image Text:Number of Girls x P(x) 0.003 1 0.038 2 0.112 3 0.209 4 0.276 0.209 6. 0.112 7 0.038 8 0.003
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