Answer Happy

ron Solve all of the question Problem:1 A. Define Poisson Distribution, Binomial Distribution and also Normal distribution. Also indicate its parameters, mean and variance. B. There are Five flight daily from Pittsburgh via US Airways into the Bradford, Pennsylvania Regional Airport. Suppose the probability that any flight arrives late is 35. What is the probability that exactly three flightsare late today? Compute the mean and variance of the above binomial probability distribution by shortcut method. C The Thompson's Discount Appliance Store issues its own credit card. The credit manager wants to find whether the mean monthly unpaid balance is more than $470. The level of significance is set ar 05. A random check of 172 unpaid balances revealed the sample mean is $487 and standard deviation of the sample is $38. Should the credit manager conclude the population mean is greater than $4707 (Given the Critical value at 5% level of significance is 1.63) 1. a). Write down the null hypothesis and the alternative hypothesis. i. b). Compute the value of the test statistic. it. c) What is your decision regarding H.? Interpret it. D. Customers at Food Town Super Markets have a choice when paying for their groceries. They may checkout and pay using the standard cashier-assisted checkout, or they may use the new U-Scan procedure. In the standard procedure a FoodTown employee scans each item, puts it short conveyor where another employee puts it in a bag and then into the grocery cart. In the U-Scan procedure the customer scans each item, hag it and places the bags in the cart themselves. The U-Scan procedure is designed to reduce the time of a customer spends in the checkout line. The U-Scan facilities was recently installed at the Burne Road Food Town Location. The store manager would like to know the mean checkout time using the standard checkout method is longer than using the U-Scan. She gathered the following sample information. The time is measured from when the customer enters the line until their bags are in the cart. Hence the time includes both waiting in the line and checking out. What is the p- value? Customer Sample Mean Population Sample Size Type Standard Deviation Standard 330 minutes 0.40 minutes 70 U-Scan 330 minutes 0.30 minutes 720 a). Write down the null hypothesis and the alternative hypothesis. b). Compute the value of the test statistic. c) What is your decision regarding H.2 Interpret it. E. Three tables listed below show "random variables" and their probabilities". However. only one of these is actually a probability distribution a. Which is it? P(x) P(x) P(x) 3 3 5 3 ./ 10 3 10 .3 10 15 12 15 -4 15 ./ 20 .3 20 4 25 25 . . 4 .4 20 b. Using the correct probability distribution, find the probability that is: (1) Exactly 15 (2) No more than 15 (3) More than 15. (4) Al leat 15.