Question

Apollo Gates Inc, one of the largest makers of sliding gate openers in the country based out of Dallas uses rolling wheels for their gates (model AB) that are targeted to be 5 inches in diameter. The acceptable limits of rolling wheels are as follows: on the higher end 5.02 inches and the lower end 4.98 inches. Any wheels that do not meet these specifications are known to cause catastrophic failure and lead to significant damages for which company could be held liable. The quality assurance testing for these wheels has shown that the manufacturing of the wheels follows a normal distribution with a mean of 5.0045 inches and a standard deviation of 0.018 inches. What is the probability that the wheels …. (show your calculations and write-up below each question part, there are 5 parts in this question) 5 points

1. will be between the target of 5 inches and the actual value

2. will be between the target and the upper limit

3. above the upper limit

4. below the lower limit

5. of all the wheels, 90% of them are greater than what value?

Answer 1