Answered: working time of T ~ Γ(3, 1.2). When the…

working time of T ~ Γ(3, 1.2). When the drilling gear box fails, it is replaced by a new one. What is the probability that fewer than 3 drilling gear boxes fail at least in 1 day of drilling.

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

An autonomous drilling rover is drilling and storing core samples to study the mineral
composition of a new farming site. Under extreme heat, the drilling gear box has an operating
working time of T ~ Γ(3, 1.2). When the drilling gear box fails, it is replaced by a new one. What
is the probability that fewer than 3 drilling gear boxes fail at least in 1 day of drilling.

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