# Fragile X Syndrome. The second-leading genetic cause of mental retardation is Fragile X Syndrome, named for the fragile appearance of the tip of the X chromosome in affected individuals. One in 1500 males is affected worldwide, with no ethnic bias.a. In a sample of 10,000 males, how many would you expect to have Fragile X Syndrome?b. For a sample of 10,000 males, use the Poisson approximation to the binomial distribution to determine the probability that more than 7 of the males have Fragile X Syndrome; that at most 10 of the males have Fragile X Syndrome.

Question
Asked Jan 17, 2020
1 views

Fragile X Syndrome. The second-leading genetic cause of mental retardation is Fragile X Syndrome, named for the fragile appearance of the tip of the X chromosome in affected individuals. One in 1500 males is affected worldwide, with no ethnic bias.

a. In a sample of 10,000 males, how many would you expect to have Fragile X Syndrome?
b. For a sample of 10,000 males, use the Poisson approximation to the binomial distribution to determine the probability that more than 7 of the males have Fragile X Syndrome; that at most 10 of the males have Fragile X Syndrome.

check_circle

## Expert Answer

Step 1

a.

From the given information, 1,500 males is affected worldwide, with no ethnic bias.

The Poisson distribution is approximate binomial probabilities when n is large and p is small. That is n ≥100 and np ≤ 10. Here, n = 10,000 (≥ 100) and p = 1/1500 = 0.00067

The expected number of males have a Fragile X Syndrome can be obtained below:

Step 2

Thus, the expected number of males have a Fragile X Syndrome is 6.667.

b.

The probability that more than 7 of the males have fragile syndrome is obtained below:

Step 3

The probability that more than 7 of the males have fragile syndrome is 0.3523.

The probability...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Other

© 2020 bartleby. All Rights Reserved.