Question: Let the random variable X follow a normal distribution with =70 and 2=64. a. Find the probability that X is greater than 80 . b.

Let the random variable X follow a normal distribution with =70 and 2=64. a. Find the probability that X is greater than 80 . b. Find the probability that X is greater than 60 and less than 84 . c. Find the probability that X is less than 75 . d. The probability is 0.1 that X is greater than what number? e. The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function. a. The probability that X is greater than 80 is (Round to four decimal places as needed.)

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