Assume that the red blood cell counts of woman are normally distributed with a mean of 4.577 and a standard deviation of 0.328. Apply technology or calculator to solve the following questions, make sure you apply the round-off rule correctly:
(a) Find the probability that a randomly selected woman has a red blood cell count below the normal range of 4.1 to 5.4.
(b) Find the probability that a randomly selected woman has a red blood cell count above the normal range of 4.1 to 5.4.
(c) Find P80 , the 80th percentile for the red blood cell counts of women.
(d) If 25 women are randomly selected, find the probability that the mean of their red blood cell counts is less than 4.444.
(e) What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?
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