The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 32. A pollster draws a sample of 38 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)? b) Use the normal approximation to the binomial to find that probability for the specific value of X. n = 30, p = 0.7, X = 20 Please answer all the parts 1a and 1b

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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1a) The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 32. A pollster draws a sample of 38 people to interview. What is the probability that the sample mean income is less than 42 (thousands of dollars)?

b) Use the normal approximation to the binomial to find that probability for the specific value of X.
n = 30, p = 0.7, X = 20

Please answer all the parts 1a and 1b

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