Gears produced by a grinding process are categorized either as conforming (suitable for intendedpurpose), degraded (unsuitable for intended purpose, but usable for another purpose), or scrap (notusable). Suppose that 80% of gears produced are conforming, 15% are degraded, and 5% are scrap.Ten gears are selected at random.(a) What is the probability that one or more gear is scrap?(b) What is the probability that eight or more are conforming or degraded?(c) What is the probability that 4 are conforming, 4 are degraded and 2 are scrap?

Introduction: It is given that 80% or 0.8 proportion of gears produced are conforming, 15% or 0.15…

Answered: Gears produced by a grinding process…

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...

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Gears produced by a grinding process are categorized either as conforming (suitable for their intended purpose), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). Suppose that 80% of the gears produced are conforming, 15% are downgraded, and 5% are scrap. Ten gears are selected at random. a. What is the probability that one or more is scrap? b. What is the probability that eight or more are not scrap? c. What is the probability that more than two are either downgraded or scrap? d. What is the probability that exactly nine are either conforming or downgraded?
In a survey, 45% of the interviewees are of age below 30, 30% are between 30 and 50, and 25% are above 50. 90% of the interviewees aged below 30, 60% of the interviewees aged between 30 and 50, and 70% of the interviewees aged above 50 can swim. (a) If a randomly selected interviewee can swim, find the probability that his/her age is between 30 and 50. (b) If a randomly selected interviewee cannot swim, find the probability that his/her age is below 30.
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