Suppose x has a distribution with a mean of 90 and a standard deviation of 4. Random samples of size n = 64 are drawn. In USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select--- distribution with mean = | and standard deviation o; =| (b) Find the z value corresponding to x = 90.5. (c) Find P(x < 90.5). (Round your answer to four decimal places.) P(X < 90.5) = [ (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 90.5? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 90.5. O No, it would not be unusual because less than 5% of all such samples have means less than 90.5. Yes, it would be unusual because less than 5% of all such samples have means less than 90.5. O No, it would not be unusual because more than 5% of all such samples have means less than 90.5.

The soccer coach purchased 12 pizza for the end of the season party.Altogether,the soccer team ate 3/4 of the pizza.How many pizzas did the soccer team eat?

-. You grew some vegetables in raised beds. One bed is 3 feet wide and 5 feet long and 6 inches deep. Another bed is 4 feet wide and 8 feet long and 6 inches deep. The third bed is 6 feet wide and 6 feet long and 8 inches deep. You are using 2 by 6-inch cedar for the 6-inch-deep beds and 2 by 8-inch cedar for the 8-inch-deep bed. a. How many and what length 2X6 are needed for the 6-inch deep beds? b. How many and what length 2X8s are needed for the 8-inch deep bed? c. How many cubic feet of garden soil are needed to fill the beds?

We roll a die 54 times. How many 6s should we expect?

During COVID-19 pandemic, Armondo helped his community by making tacos to give to hospital personnel. Some tacos had pork filling and some had beef filling. He made a total of 600 tacos, and made 60 more beef tacos than pork tacos. How many of each type of taco did he make?

How many possible ways can five different pictures be hung along a wall?     5     120     50     50

b) Find C21,C32, C13