Please help me in my homework, tysm!!

Read each problem carefully. Show your complete solution and present an illustration for each problem. 1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900 2. The Smith Trucking Company claims that the average weight of its delivery trucks when fully loaded is 6000 pounds with a standard deviation of 120 pounds. 36 trucks are selected at random and their weights recorded. Within what limits will the average weights of 90% of the 36 trucks lie? 3. From a finite 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