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

ID: 3179800 • Letter: L

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 0.38. 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? (Round to two decimal places as needed) The table is not a probability distribution Find the standard deviation of the random variable Soled the correct choice below and. if necessary, fill in the answer box to complete your choice. (Round to two decimal places as needed) The table is not a probability distribute ls it unusual for a family with three children to have only girls? No. because the probability of having 3 girts is less than or equal to 0 05 Yes. because the probability of having 3 girts is greater than 0 05 No. because the probability of having 3 girls is greater than 0 05. Yes. because the probability of having 3 girts is less than or equal to 0.06.

Explanation / Answer

From the table,

P(3 girls) = 0.055

Since this value is greater than 0.05, it is not unusual for a family of three children to have only girls.

Option C is correct.