# Question

Use the binomial distribution with n = 20 and π = .5 to compare the accuracy of the normal approximation to the binomial.

a. Compute the exact probabilities and corresponding normal approximations for y < 5.

b. The normal approximation can be improved slightly by taking P(y ≤ 4.5). Why should this help? Compare your results.

c. Compute the exact probabilities and corresponding normal approximations with the continuity correction for P(8 < y < 14).

a. Compute the exact probabilities and corresponding normal approximations for y < 5.

b. The normal approximation can be improved slightly by taking P(y ≤ 4.5). Why should this help? Compare your results.

c. Compute the exact probabilities and corresponding normal approximations with the continuity correction for P(8 < y < 14).

## Answer to relevant Questions

Let y be a binomial random variable with n = 10 and p = .5. a. Calculate P(4 ≤ y ≤ 6). b. Use a normal approximation without the continuity correction to calculate the same probability. Compare your results. How well ...Suppose a population consists of the 10 measurements (2, 3, 6, 8, 9, 12, 25, 29, 39, 50). Generate the 45 possible values for the sample mean based on a sample of n 5 2 observations per sample. a. Use the 45 sample means to ...Refer to Exercise 5.14. Suppose the mayor's staff reviews the proposed survey and decides that in order for the survey to be taken seriously the requirements need to be increased. In exercise 5.14 The housing department in ...The vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper “Metals, Petroleum Hydrocarbons and Organo-chlorines in Inshore Sediments and Waters on ...The ability to read rapidly and simultaneously maintain a high level of comprehension is often a determining factor in the academic success of many high school students. A school district is considering a supplemental ...Post your question

0