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The ages of a group of 50 women are approximately normally distributed with a mean of 52 years and a standard deviation of 6 years.

The ages of a group of 50 women are approximately normally distributed with a mean of 52 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed.

a. Find the probability that her age will fall between 56 and 60 years.

b. Find the probability that her age will fall between 48 and 53 years.

c. Find the probability that her age will be less than 35 years.

d. Find the probability that her age will exceed 41 years.

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