Let the random variable x represent the number of girls in a family with three c

Question

Let the random variable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.420.42. The table on the right describes the probability of having x number of girls. Determine whether the table describes a 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? x P(x) 0,0.1950.195 1,0.4240.424 2,0.3070.307 3,0.0740.074 Find the mean of the random variable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. = (Round to two decimal places as needed.) B. The table is not a probability distribution.

Explanation / Answer

As the sum of the probabilities is 1, then it is a probability distirbution.

Now, consider:

Thus,  
  
E(x) = Expected value = mean =    1.26 [ANSWER]

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