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The life expectancy for the general population of the United States is 75 years, with a standard deviation of 6 years. A random sample of

The life expectancy for the general population of the United States is 75 years, with a standard deviation of 6 years. A random sample of 81 individuals is selected.(Note: Do not ignore this sample size information.)

a. What is the probability that the sample mean of this group will be more than 77 years (to 4 decimals)?

b. What is the probability that the sample mean of this group will be less than 73.7 years (to 4 decimals)?

c. What is the probability that the sample mean of this group will be between 73.5 and 76 years (to 4 decimals)?

d. What is the probability that the sample mean of this group will be between 73 and 75 years (to 4 decimals)?

e. What is the probability that the sample mean of this group will be more than 73.46 years (to 4 decimals)?

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