Example 10: According to actuarial tables, life spans in the United States are approximately normally listributed with a mean of about 75 years and a standard deviation of about 16 years. By computing the reas under the associated normal curve, find the following probabilities. (a) Find the probability that a randomly selected person lives less than 88 years. (b) Find the probability that a randomly selected person lives more than 67 years. (c) Find the probability that a randomly selected person lives between 61 and 70 years. (d) We can be 90% confident that a randomly chosen person in the US is younger than what age?

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Example 10: According to actuarial tables, life spans in the United States are approximately normally
distributed with a mean of about 75 years and a standard deviation of about 16 years. By computing the
areas under the associated normal curve, find the following probabilities.
(a) Find the probability that a randomly selected person lives less than 88 years.
(b) Find the probability that a randomly selected person lives more than 67 years.
(c) Find the probability that a randomly selected person lives between 61 and 70 years.
(d) We can be 90% confident that a randomly chosen person in the US is younger than what age?
Transcribed Image Text:Example 10: According to actuarial tables, life spans in the United States are approximately normally distributed with a mean of about 75 years and a standard deviation of about 16 years. By computing the areas under the associated normal curve, find the following probabilities. (a) Find the probability that a randomly selected person lives less than 88 years. (b) Find the probability that a randomly selected person lives more than 67 years. (c) Find the probability that a randomly selected person lives between 61 and 70 years. (d) We can be 90% confident that a randomly chosen person in the US is younger than what age?
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