Take a Fall 2017 Math 108 MWF 10-10.50 AM Canvas Smil 107/17 959 AM Quiz: Chapte

Question

Take a Fall 2017 Math 108 MWF 10-10.50 AM Canvas Smil 107/17 959 AM Quiz: Chapter 5 Quiz Submit Qu This Question: 1 pt This Quiz: 8 pts possi Five males with a particular geneic disorder have one distribution. If it does, find the mean and standard deviation Find the mlen of the random variable x Select the correct choice below and,iI necessany, tel in the answer box to complede your choicn 9A .(Round to one decimal place as needed) O B. The tabile is not a probabilty distribution. Find the standard deviation of the random variable x Select the correct choice below and, If necessary, 8 in the answer box to complete your choice OA(Round to one decimal place as needed.) O B. The table is not a probablity dstbution. Clck to select and enter your answerls).

Explanation / Answer

FIrst we have to find that the given distribution is a probability distribution or not.

so  p(x) = 1

0.0005 + 0.0091 + 0.0648 + 0.2297 + 0.4072 + 0.2887 = 1

so, yes it is a probability distribution.

Mean of random vvariable X

E(x) = 0 * 0.0005 + 1 * 0.0091 + 2 * 0.0648 + 3 * 0.2297 + 4* 0.4072 + 5 * 0.2887 = 3.9

Variance of Random variable X

Var(X) = (0 - 3.9)2 * 0.0005 + (1 - 3.9)2 * 0.0091 + (2 - 3.9)2 * 0.0648 + (3 - 3.9)2 * 0.2297 + (4 - 3.9)2 * 0.4072 + (5 - 3.9)2 * 0.2887 = 0.8575

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