Question

Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents.


Refer to the accompanying table, which 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. Find the mean and standard deviation for the number of girls in 8 births.


The mean is μ = _______  girl(s). (Round to one decimal place as needed.) 

The standard deviation is σ = girl(s). (Round to one decimal place as needed.)

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Answer #1

The random variable X represents the number of girls among 8 children and P(girl) = p = 0.5

Here, X ~ Binomial (n =8, p = 0.5)

Mean and standard deviation of a Binomial distribition are as follows,

Hence,

The mean = 4.0 girl(s)

The standard deviation = 1.4 girl(s)

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