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
A credit card company has found that its average balance per customer is normally distributed with...
A bank auditor claims that credit card balances are normally distributed with mean $3000 and standard deviation $500. Suppose the auditor randomly select two card holders What is the probability both of them have card balances more than 2500?
The average credit card debt for college seniors is $3262. If the debt is normally distributed with a standard deviation of $1100, find these probabilities. a) The senior owes less than $1000. b) The senior owes more than $4000. c) The senior owes between $3000 and $4000 d) The senior owes less than $1000 or more than $4000 e) The senior owes exactly $2500 f) What is the minimum amount a senior needs to owe to be considered a senior...
Assume the credit card balances of younger college educated employed persons are normally distributed with a mean of $ 6,358 and a standard deviation of $1,907 – assume these are population values. 2. Now you randomly select 81 credit card holders. What is the probability that their mean credit card balance is less than $5750? Use the standard normal table for this, but this time use the population mean and standard error (standard deviation/SQRT(81)). Use 4 significant decimal places for...
The average credit card debt for college seniors is $3120. The debt is normally distributed with standard deviation of $1100. Find P35.
According to a study completed by Nellie Mae in 2005, the average credit card debt of a graduating college student is normally distributed with a mean of $2000. Given the standard deviation is $400, what is the probability that a random sample of 4 graduating student will have a debt between $1800 and $2200? Question 3 options: a) 0.95 b) 0.38 c) 0.68 d) 0.99
An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.3 seconds. (Round your answers to three decimal places.) (a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval. (b) Find the probability that a customer waits more than 3 seconds. (c) What is the minimum approval time for the slowest 5% of transactions? sec
An automobile insurer has found that repair claims are Normally distributed with a mean of $890 and a standard deviation of $850. (a) Find the probability that a single claim, chosen at random, will be less than $840. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $840. ANSWER: (c) If a sample larger...
An automobile insurer has found that repair claims are Normally distributed with a mean of $580 and a standard deviation of $530. (a) Find the probability that a single claim, chosen at random, will be less than $560. ANSWER: (b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯ of the 100 claims is smaller than $560. ANSWER: (c) If a sample larger...
J&G Bank receives a large number of credit-card applications each month, an average of 30,000 with a standard deviation of 4,000, normally distributed. Approximately 60% of them are approved, but this typically varies between 50% and 70%. Each customer charges a total of $2,000, normally distributed, with a standard deviation of $250, to his or her credit card eaclh month. Approximately 85% pay off their balances in full, and the remaining incur finance charges The average finance charge has recently...
A credit card company claims that the mean credit card debt for individuals is greater than $ 5,000. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $ 5,228 and a standard deviation of $ 550. At alpha equals 0.10, can you support the claim? Complete parts (b) through (e) below. Assume the population is normally distributed. (b) Find the critical value(s) and identify the rejection region(s)....