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A credit card company has found that its average balance per customer is normally distributed with...

A credit card company has found that its average balance per customer is normally distributed with a mean of $250 and a variance of 2500.
   a. Find the probability that the balance is over $300
   b. Find the probability that the balance is less than $150
   c. Find the value such that the probability of a customer’s balance being less than this amount is 0.05
   d. Determine the values of a and b such that P(a ≤ X≤ b) = 0.99

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