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 0.350.35. 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) 0,0.2750.275 1,0.4440.444 2,0.2390.239 3,0.0420.042 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]

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.