# Question: In a certain binomial distribution 0 25 and n

In a certain binomial distribution, π = 0.25 and n = 40. In using the normal approximation,

a. What are the mean and standard deviation of the corresponding normal distribution?

b. If x = the number of “successes” among the 40 observations, determine the following: P(x = 8), P(12 ≤ x ≤ 16), P(10 ≤ x ≤ 12), P(x ≥ 14).

a. What are the mean and standard deviation of the corresponding normal distribution?

b. If x = the number of “successes” among the 40 observations, determine the following: P(x = 8), P(12 ≤ x ≤ 16), P(10 ≤ x ≤ 12), P(x ≥ 14).

**View Solution:**## Answer to relevant Questions

In a certain binomial distribution, π = 0.30 and n = 20. In using the normal approximation, a. What are the mean and standard deviation of the corresponding normal distribution? b. If x = the number of “successes” among ...Repeat Exercise 7.45, but without using the correction for continuity (i.e., the discrete random variable, x, is not replaced by the interval x – 0.5 to x + 0.5). Does your answer differ appreciably from that obtained in ...A taxi dispatcher has found that successive calls for taxi service are exponentially distributed, with a mean time between calls of 5.30 minutes. The dispatcher must disconnect the telephone system for 3 minutes in order to ...A food expert claims that there is no difference between the taste of two leading soft drinks. In a taste test involving 200 persons, however, 55% of the subjects say they like soft drink A better than B. If the food expert ...Given the results of Exercise 7.72, evaluate the claim made by the public relations agency. Result A public relations agency tells its client that 80% of the residents in a 50-mile radius believe the company is “an ...Post your question