Submit s Question: 1 pt 10 of 16 (7 complete) This Quiz: 16 pts po ve males with
ID: 3059926 • Letter: S
Question
Submit s Question: 1 pt 10 of 16 (7 complete) This Quiz: 16 pts po ve males with a particular genetic disorder have one child each. The random variable x is the number of children among the five who inherit the genetic disorder. etermine whether the table describes a probability distribution. If it does, find the mean and standard deviation. P) 0.0006T 0.01080.07210.2415 0.4043 02707 ind the mean of the random variable x. Select the correct choice below and,if necessary, ill n the answer box to complete your choice. A. = (Round to one decimal plac e as needed ) O B. The table is not a probability distribution. Find he standard do ation of he random variable x Select the correct choice below and if necessary, fil n the answer box to complete your choice. OA, = (Round to one decimal place as needed.) The table is not a probability distribution. B. Click to select and enter your an ch OI 3/ DOLLExplanation / Answer
The values are:
P(x) = 0.0006 + 0.0108 + 0.0721 + 0.2415 + 0.4043 + 0.2707
= 1.
Since the probabilities sum to 1, this is a probability distribution.
= x P(x) = 0 * 0.0006 + 1 * 0.0108 + 2 * 0.0721 + 3 * 0.2415 + 4 * 0.4043 + 5 * 0.2707 = 3.8502 = 3.9.
2 = x2 P(x) - 2 = 0 * 0.0006 + 1 * 0.0108 + 4 * 0.0721 + 9 * 0.2415 + 16 * 0.4043 + 25 * 0.2707 - 3.8502 * 3.8502
= 0.8850
=> = 0.8850 = 0.9407 = 0.9.
x 0 1 2 3 4 5 P(x) 0.0006 0.0108 0.0721 0.2415 0.4043 0.2707