Solution Found!
The weights of adobe bricks used for construction are
Chapter 5, Problem 27E(choose chapter or problem)
Problem 27E
The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 20 bricks is selected.
(a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
(b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
Questions & Answers
QUESTION:
Problem 27E
The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 20 bricks is selected.
(a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
(b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
ANSWER:
Solution:
Step 1 of 3:
The weights of adobe bricks are normally distributed.
Which have a mean of 3 pounds and a standard deviation of 0.25 pound.
The weights of the bricks are independent.
Here a random sample of 20 bricks is selected.
- We have to find the probability that all the bricks in the sample exceed 2.75 pounds.
- We have to find the probability that the heaviest brick in the sample exceeds 3.75 pounds.