Five males with a particular genetic disorder have one child each. The random va

Question

Five 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. Determined whether the table describes a probability distribution. If it does, find the mean and standard deviation. Five maies with a particular genetic disorder have one child each The random variable x is the number of children among the five who inhenit the genetic disorder IH it does, find the mean and standard deviation Po)-T 00002 00063- 0460 t01919T04089 fo 3487 A. «D(Round to one decmal place as needed) B. The table is not a probablity distribution. Find the standard deviation of the random variable x Select the correct choice below and, if k Select the correct choice below and, f necessary, fl in the answer box to compiete your choice .(Round to one decimal place as needed ) The table is not a probability distribution. OA, B.

Explanation / Answer

MEan = 0 * 0.0002 + 1 * 0.0053 + 2 * 0.0450 + 3 * 0.1919 + 4 * 0.4089 + 5 * 0.3487 = 4.0501 or say 4.1

the table will describe a probabilit distribution if all probability sum equals to 1.

so 0.0002 + 0.0053 + 0.0450 + 0.1919 + 0.4089 + 0.3487 = 1

so it is a probability distribution.

Standard deviation = sqrt [ (0-4.05)2 * 0.0002 + (1 -4.05)2 * 0.0053 + (2-4.05) 2 * 0.0450 + (3 - 4.05)2 * 0.1919 + (4 - 4.05)2 * 0.4089 + (5 - 4.05)2 * 0.3487]

= 0.877 or 0.8

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