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Homework: Week 2 Homework Save Score: 0 of 6 pts 3 0110 (10 complete) HW Score:

ID: 3352950 • Letter: H

Question

Homework: Week 2 Homework Save Score: 0 of 6 pts 3 0110 (10 complete) HW Score: 34 17%, 20.5 of 60 pts Question Help * 5.2.7 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 probabilion Ife 0853 3451 5584 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. A. (Round to one decimal place as needed.) O B. The table is not a probability distribution.

Explanation / Answer

Answer:

X

p(X)

x*p(x)

(x-mean)^2*p(x)

0

0

0

0

1

0.0007

0.0007

0.00833175

2

0.0105

0.021

0.06302625

3

0.0853

0.2559

0.17934325

4

0.3451

1.3804

0.06988275

5

0.5584

2.792

0.168916

Total

1.000

4.45

0.4895

Mean = sum x*p(x) = 4.45

= 4.5 ( one decimal)

Variance = sum (x-mean)^2*p(x) =0.4895

Standard deviation = sqrt( 0.4895) =0.6996

= 0.70 ( two decimals)

X

p(X)

x*p(x)

(x-mean)^2*p(x)

0

0

0

0

1

0.0007

0.0007

0.00833175

2

0.0105

0.021

0.06302625

3

0.0853

0.2559

0.17934325

4

0.3451

1.3804

0.06988275

5

0.5584

2.792

0.168916

Total

1.000

4.45

0.4895