Shift Alt adom variable x represent the number of girls in a family with three c

Question

Shift Alt adom variable x represent the number of girls in a family with three children. Assume the proba 3. Let the ra of a child being a girl is 0.47. The table below describes the probability of having x number of girls. Determine bility whether the table deser probability distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? P(x) 0.149 0.396 0.351 0 2 0.104 It would be unusual for a family with three children to consist of three girls? A. No, because the probability of having 3 girls is less than or equal to 0.05 B. No, because the probability of having 3 girls is greater than 0.05 C. Yes, because the probability of having 3 girls is less than or equal to 0.05. D Yes, because the probability of having 3 girls is greater than 0.05

Explanation / Answer

for above to be valid sum of probability should be 1

here 0.149+0.396+0.351+0.104=1 ; hence it is valid probability distribution

from above mean =1.41

and std deviation =0.8648

option B is correct

y p(y) yP(y) y2P(y) (y-)2 (y-)2P(y) 0 0.1490 0.000 0.000 1.988 0.296 1 0.3960 0.396 0.396 0.168 0.067 2 0.3510 0.702 1.404 0.348 0.122 3 0.1040 0.312 0.936 2.528 0.263 total 1 = 1.41 2.736 5.032 2= 0.7479 std deviation=     =    2 = 0.8648

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