The accompanying table describes results from groups of 10 births from 10 differ

Question

The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.
x   P(x)
0   0.002
1   0.016
2   0.039
3   0.113
4   0.205
5   0.241
6   0.196
7   0.113
8   0.041
9   0.012
10   0.022

a. The maximum value in this range is ___ ?
b. The minimum value in this range is ___ ?

Based on the? result, is 1 girl in 10 births a significantly low number of? girls? Explain.
A. No, 1 girl is not a significantly low number of? girls, because 1 girl is not less than the minimum value that is not significant.
B. ?Yes, 1 girl is a significantly low number of? girls, because 1 girl is less than the minimum value that is not significant.
C. Yes, 1 girl is a significantly low number of? girls, because 1 girl is less than the maximum value that is not significant.
D. Not enough information is given.

Explanation / Answer

Ans:

a)Maximum value of range=5.1+2*1.75=8.6

b)Minimum value of range=5.1-2*1.75=1.6

Yes, 1 girl is a significantly low number of? girls, because 1 girl is less than the minimum value that is not significant.

Option B is correct.

x P(x) x*p(x) (x-5.081)^2*p(x) 0 0.002 0 0.0516 1 0.016 0.016 0.2665 2 0.039 0.078 0.3702 3 0.113 0.339 0.4894 4 0.205 0.82 0.2396 5 0.241 1.205 0.0016 6 0.196 1.176 0.1655 7 0.113 0.791 0.4161 8 0.041 0.328 0.3493 9 0.012 0.108 0.1843 10 0.022 0.22 0.5323 Total= 1 5.1 3.066 1.75

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