×
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.12 - Problem 1e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.12 - Problem 1e

×

# Vendor A supplies parts, each of which has probability

ISBN: 9780073401331 38

## Solution for problem 1E Chapter 4.12

Statistics for Engineers and Scientists | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Statistics for Engineers and Scientists | 4th Edition

4 5 1 412 Reviews
22
0
Problem 1E

Problem 1E

Vendor A supplies parts, each of which has probability 0.03 of being defective. Vendor B also supplies parts, each of which has probability 0.05 of being defective. You receive a shipment of 100 parts from each vendor.

a. Let X be the number of defective parts in the shipment from vendor A and let Y be the number of defective parts in the shipment from vendor B. What are the distributions of X and Y?

b. Generate simulated samples of size 1000 from the distributions of X and Y.

c. Use the samples to estimate the probability that the total number of defective parts is less than 10.

d. Use the samples to estimate the probability that the shipment from vendor A contains more defective parts than the shipment from vendor B.

e. Construct a normal probability plot for the total number of defective parts. Is this quantity approximately normally distributed?

Step-by-Step Solution:

Solution:

Step 1 of 4:

Vendor A suppliers parts which has probability 0.03 of being defective.

Vendor B suppliers parts which have probability 0.05 of being defective.

There is a shipment of 100 parts from each vendor.

Let X be the number of defective parts in the shipment from the vendor and Y be the number of defective parts in the shipment from vendor B.

Step 2 of 4

Step 3 of 4

#### Related chapters

Unlock Textbook Solution