6 Do Homework Edgar Antonyan Google Chrome 4402544 Homework: Hwk5-2 Score: 0 of

Question

6 Do Homework Edgar Antonyan Google Chrome 4402544 Homework: Hwk5-2 Score: 0 of 1 pt 5.2.14 Edgar Antonyan 10/8/17 10:40 PM 2013(2 complete) HW Score: 50%, 1.5 of 3 pts Question Help Let the random vaniable x represent the number of girls in a family with three children. Assume the probability of a child being a girl is 0.48. The table on the right 0.48. The table on the right descnibes the probability of having x number of girls. Determine whether the table describes a probability10389 distribution. If it does, find the mean and standard deviation. Is it unusual for a family of three children to consist of three girls? 0 141 Find the mean of the random variable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice 0.359 Round to two decimal places as needed) B. The table is not a probability distribution Click to select and enter your s) and then dlick Check Answer Clear All

Explanation / Answer

P(0) = 0.141

P(1) = 0.389

P(2) = 0.359

P(3) = 0.111

Adding P(0) + P(1) + P(2) + P(3) = 0.141 + 0.389 + 0.359 + 0.111

= 1

Since the probabilities sum to 1, the distribution is a probabillity distribution.

Mean = 0*0.141 + 1*0.389 + 2*0.359 + 3*0.111

= 1.44

Variance 2 = 0*0.141 + 1*0.389 + 4*0.359 + 9*0.111 - 1.44*1.44 = 0.7504

Standard deviation = 0.7504 = 0.8663.

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