home / study / math / statistics and probability / questions and answers / five

Question

home / study / math / statistics and probability / questions and answers / five males with a particular genetic disorder have ...

Your question has been answered! Rate it below.

Let us know if you got a helpful answer.

Question: Five males with a particular genetic disorder have...

Bookmark

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. Determine whether the table describes a probability distribution. If it does, find the mean and standard deviation.

x   P(x)
0   0.4182
1   0.3983
2   0.1517
3   0.0289
4   0.0028
5   0.0001

A.Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

1. A. =

(Round to one decimal place as needed.)

B. The table is not a probability distribution

2. 0=

Explanation / Answer

The table represents a probability distribution because P(x) = 1

(A) Mean = x * P(x) = 0.8001

(B) Variance = x^2 * P(x) - Mean^2 = 2.5839 - 0.8001^2 = 1.9437

Standard deviation = 1.9437 = 1.3942.

x P(x) x * P(x) x^2 x^2 * P(x) 0 0.4182 0 0 0 1 0.3983 0.3983 1 0.3983 2 0.1517 0.3034 4 1.2136 3 0.0289 0.0867 9 0.7803 4 0.0028 0.0112 16 0.1792 5 0.0001 0.0005 25 0.0125 = 0.8001 2.5839

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.