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Of the bolts manufactured for a certain application, 90%
Chapter 4, Problem 13E(choose chapter or problem)
Of the bolts manufactured for a certain application, 90% meet the length specification and can be used immediately, 6% are too long and can be used after being cut, and 4% are too short and must be scrapped.
a. Find the probability that a randomly selected bolt can be used (either immediately or after being cut).
b. Find the probability that fewer than 9 out of a sample of 10 bolts can be used (either immediately or after being cut).
Questions & Answers
QUESTION:
Of the bolts manufactured for a certain application, 90% meet the length specification and can be used immediately, 6% are too long and can be used after being cut, and 4% are too short and must be scrapped.
a. Find the probability that a randomly selected bolt can be used (either immediately or after being cut).
b. Find the probability that fewer than 9 out of a sample of 10 bolts can be used (either immediately or after being cut).
ANSWER:Answer :
Step 1 of 3:
Given, manufacturing of bolts for certain application, in that 90% meet the length specification and can be used immediately, 6% of the bolts are too long and can be used after being cut, and 4% of the bolts are too short and must be scrapped.
The goal of the problem is
- We have to find the probability that a randomly selected bolt can be used ( either immediately or after being cut)
- We have to find the probability that fewer than 9 out of a sample of 10 bolts can be used (either immediately or after being cut)