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The mean height for women in a certain area is 64.5 inches and the standard deviation is 0.75 inches. It is known that the population

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The mean height for women in a certain area is 64.5 inches and the standard deviation is 0.75 inches. It is known that the population is normally distributed. Show your work or what you enter into a calculator. A. What is the probability that a randomly selected woman is shorter than 64 inches? (6 pt) B. A sample of 50 women was collected. What is the probability that the mean height of the sample of women is less than 64 inches? (6 pt) Write your answer in scientific notation: Number between 1 and 9.999 x 10EXponent (Round the number to 7 decimal places.)

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