Question

On a given Sunday, 14 children were born at a maternity ward.

a. On an average, out of these children, how many girls are expected, what is the standard deviation in the number of girls?

b. What would be the usual range for the number of girls?

c. Given the above, would 9 girls be unusually high?

d. What is the probability that at least 10 of the children are girls?

Show work/excel commands for binomial dist.

Answer #1

14 children were born. So n =14

probability of having a girl is p = 0.5

a) Expected number of girls = np = 14*0.5=7

standard deviation :

b) range = 4 * standard deviation = 4*1.871=7.484

c) No 9 girls would not be unusually high as it will be within 2 standar deviation from the mean

d)

the probability that at least 10 of the children are girls = 0.0898

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