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The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated

ID: 2932984 • Letter: T

Question

The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $845 and a standard deviation of $270. Assume that the balances on all these Visa cards follow a normal distribution. a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1000 and $1440? Round your answer to three decimal places. P=Entry field with correct answer .270 b. What percentage of the Visa cards issued by this bank have a balance of $740 or more? Round your answer to two decimal places. P=Entry field with incorrect answer %

Explanation / Answer

a) Mean = 845

SD = 270

z1 = (1000 - 845)/270 = 0.574

z1 = (1440 - 845)/270 = 2.2

P = 0.270

b) P( X < 740)

z = (740 - 845)/270

z = - 0.39

P = 0.65