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3. A university’s math department gives a standard final exam for all sections of a certain...

3. A university’s math department gives a standard final exam for all sections of a certain class. The final exam scores, follow a normal distribution with a mean of 74 and a standard deviation of 11.

b. What final exam score cuts off the highest 3% of final exam scores? (Round to two decimal places.) x = _______________

c. What final exam score cuts off the 27th percentile? (Round to two decimal places.) x = _______________

d. If 36 students are selected at random, find the probability that their mean score is less than 70. (Keep at 4 decimal places.) P(?̅< 70) = _______________

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