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A population with a normal distribution has a mean of 150 and standard deviation 30.A sample of 64 is taken from that population. (a) What

  1. A population with a normal distribution has a mean of 150 and standard deviation 30.A sample of 64 is taken from that population.

(a) What is the probability that the sample mean will have a value within 10 of the population mean?

(b) What is the probability of the sample mean being at least 145?

(c) What is the probability of the sample mean being not less than 153?

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