Read each problem carefully. Show your complete solution and present

an illustration for each problem.

1. The average amount of money that a depositor oi' the Second National City Bank has in an account in $5000 with a standard deviation of $550. A random sample of 35 accounts is taken. What is the probability that the average amount of money that these 35 depositors have in their accounts 15 In. Between $4300 and $5300? 1:. less than :5 4550 and Greater than $5250 e. Greater than $4900 2. The Smith Trucking Company claims that the average weight of its delivery trucks when fully loaded is 5000 pounds with a standard deviation of 120 pounds. 35 trucks are selected at random and their weights recorded. Within what limits will the average weights of 90% of the 35 trucks lie? 3. From a nite population consisting of digits 1, 4, 5, and 9, construct the sampling distribution of the sample mean a. With a sample size of 2 b. With sample size of 3