1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25. b) 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)? c) 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 parts of the question, 1a to 1 c. Thanks.

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1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find the probability that the mean will be greater than 25.

b) 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)?

c) 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 parts of the question, 1a to 1 c. Thanks.

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