Reference no: EM132852908

1. Suppose Walmart wants to decide between two suppliers who provide frozen meat for the company, supplier A and supplier B. The following data shows the number of days that these two suppliers had delayed in delivering five different orders.

Supplier A: 5, 5, 4, 3, 3

Supplier B: 2, 8, 7, 2, 1

2. If Walmart wants to decide between two producers only based on the risk of delivering the items by delay, which supplier should the company choose? Explain your answer.

3. Probability that a family has a car, has a bike, has both a car and a bike is equal to 0.61, 0.25, 0.08 respectively. If we randomly choose a family, calculate the following probabilities (show your works).

a. Probability that the family does not have a car.

b. Probability that the family has at least one of them.

4. A device is set to fill bottle of juice with only 330 grams. The amount of juice that device pours into bottles has a normal distribution with mean of 330 gram and std of 5. Given this information, calculate the following probabilities: (show your works)

a. A random bottle has between 322- 328 grams of juice.

b. A random bottle has more than 335 grams of juice.

c. To control the accuracy of the device, we weight 70 bottles. How many bottles do you expect (mean) to have weight more than 335 grams?

5. Age for employees working in a company follow a normal distribution with mean of 35 and std of 12 years. If the company wanted to retire anybody who is older than 55, what percentage of employees would have been retired? (Show your works)

6. A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as "second." (show your works)

a. Among six randomly selected goblets, how likely is it that only one is second?

b. Among six randomly selected goblets, what is the probability that at most two are seconds?

8. From a group of six people, two individuals are to be selected at random. How many selections are possible? (show your works)

9. Z is a standard normal variable. Find the value of Z in the following (show your works)

a. The area to the left of Z is 0.9279.

b. The area to the right of -Z is 0.9834.

c. The area between -Z and Z is 0.7108.