Question

Use ONLY the Standard Normal Tables (Link ) to answer the following... A set of exam scores is normally distributed and has a mean of 79.8 and a standard deviation of 7.2. What is the probability that a randomly selected score will be between 67 and 76? Answer = (round to four decimal places) Note: Be careful...only use the Z Table here...do not use technology or the 68-95-99.7 Rule. An appliance manufacturer has three factories (A, B, and C) where they produce both Customized and Non-Customized appliances.

The weekly production totals are presented below: A B C Customized 17 18 9 Non-Customized 3 5 14 If one manufactured appliance is chosen at random, find the probability that the appliance was manufactured at Factory 'A' given that it is a non-customized applicance. Answer = (Round your answer to 3 decimal places.) Hint: Notice that the totals are not present, so you'll want to do that first.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 38 liters, and standard deviation of 10.9 liters. A) What is the probability that daily production is between 19.7 and 54.8 liters? Do not round until you get your your final answer. Answer= (Round your answer to 4 decimal places.) Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.

Answer 1

Here it is given that distribution is normal with mean=79.8 and standard deviation=7.2

We need to find

As distribution is normal, we can convert x to z

Here it is given the table as below

	A	B	C
Customized	17	18	9
Non-Customized	3	5	14

Now we need to find

Here it is given that distribution is normally distributed with a mean of 38 liters, and standard deviation of 10.9 liters

We need to find