his Question: 8 pts 11 of 25 (24 complete) 200 pts pos Let the randdom variable

Question

his Question: 8 pts 11 of 25 (24 complete) 200 pts pos Let the randdom variable x represent the number of girts in a tamily with three chadren Assume the probatbility of a chiad being a girn is 042 The table on the rig describes the probab ty of havng x number of grs Determine whether the table describes a prot atany destrbuton " ? does find the mean and standard denat is it unusual for a family of three children to consist of three girts? O 424 0.307 Find the mean of the random variable Select the correct choice below and, if necessary, ill in the answer box to complete your choice @a. ?=? ? ?. The table is not a probability distribution Find the standard deviation of the random variable. Select the correct choice below and i necessary, 1illin the answer box to complete your choice (Round to two decimal places as needed.) (Round to two decimal places as needed) O B. The table is not a probability distribution

Explanation / Answer

a)
mean = 0 * 0.195 + 1 * 0.424 + 2 * 0.307 + 3 * 0.074
= 1.26

b)
standard devaition = (0 - 1.26)^2 * 0.195 + (1- 1.26)^2 * 0.424 + (2- 1.26)^2 * 0.307 + (3- 1.26)^2 * 0.074

standard deviation = 0.73

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