Read each problem carefully. Show your complete solution and present

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Solution for #1: Step]: Identify the parts of the problem. Given: p = 46.2 minutes; (I = 3 minutes; J? = 43 minutes Find: PI? 1:: 43) Step 2: Use the formula to nd the zscore. J? ,a _ 43 45.2 (I B = ll. 4\" g: 3 Step 3: Use the ztable to look up the zscore you calculated in step 2. z = [l.4l} has a corresponding area of 0.1554. Step 4: Draw a graph and plot the zsoore and its corresponding area. Then, shade the part that you're looking for: PIX :2 43) Since we are -3 -2 -1 1 2 3 lded part will he on the lei- r__ ,_ __ ___ -.4 Step 5: Subtract your zseore from D.EDD. PG? #5. 43) = [LSI'JI'J (1.1554 PU? r: 43) = 11.3446 Step El: Convert the decimal in Step 5 to a percentage. PU? :2 43) = 34.415941 Therefore, the probability that a randomly selected senior high school student will complete the examination in less than 43 minutes is 34.46%. Yes, it is reasonable to nish the exam in less than 43 minutes since the probability is more than 1. 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