Maggie is a social worker. For the last 225 days she has recorded her client caseload per day. The results are in the accompanying table. In this problem x is the number of clients Maggie sees per day and the frequency is the number of days on which she sees x clients. (show all work) 1. 2 3 Frequency 4 12 25 54 5 75

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 $840 and a standard deviation of $260. 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 $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %

The average student loan debt for college graduates is $25,600. Suppose that that distribution is normal and that the standard deviation is $11,400. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.b   Find the probability that the college graduate has between $13,550 and $33,450 in student loan debt. c.  The middle 10% of college graduates' loan debt lies between what two numbers?     Low: $     High: $

A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability =  B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =