Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 227 shafts, find the approximate probability that between 53 and 67 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 227 shafts, find the approximate probability that at least 65 are nonconforming and can be reworked.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather
than having to be scrapped).
(a) In a random sample of 227 shafts, find the approximate probability that between 53 and 67 (inclusive) are
nonconforming and can be reworked.
(b) In a random sample of 227 shafts, find the approximate probability that at least 65 are nonconforming and can
be reworked.
Transcribed Image Text:Suppose that 27% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). (a) In a random sample of 227 shafts, find the approximate probability that between 53 and 67 (inclusive) are nonconforming and can be reworked. (b) In a random sample of 227 shafts, find the approximate probability that at least 65 are nonconforming and can be reworked.
Expert Solution
Step 1

Let p be the probability of all steel shafts produced by a certain process are nonconforming but can be reworked

n be be the sample size

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON