Answered: a. Find the probability distribution of…

a. Find the probability distribution of Y, the number of 1-second time intervals until a complete housing is attached. b. Find p(6). c. Find the mean and variance of Y.

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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Question

To attach the housing on a motor, a production line assembler must use an electrical
hand tool to set and tighten four bolts. Suppose that the probability of setting and
tightening a bolt in any 1-second time interval is p = 0.8. If the assembler fails in the
first second, the probability of success during the second 1-second interval is 0.8, and
so on.
a. Find the probability distribution of Y, the number of 1-second time intervals until
a complete housing is attached.
b. Find p(6).
c. Find the mean and variance of Y.

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