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The mean of a population is 74 and the standard deviation is 13. The shape of the population is unknown. Determine the probability of each of the following occurring from this population.

Appendix A Statistical Table

a. A random sample of size 32 yielding a sample mean of 77 or more

b. A random sample of size 150 yielding a sample mean of between 72 and 77

c. A random sample of size 221 yielding a sample mean of less than 74.5

(Round all the values of z to 2 decimal places and final answers to 4 decimal places.)

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