The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell. 1.iiiSuppose a cell is activated and after 500~hours it is still working. What is the probability it lasts less than 600~hours? a) Some Work b) 0 c) 0.14 d) 0.35 f) 0.86 g) 0.98 i) 1 j) Other ______

The Bulldog Electronics Company is currently producing a submarine detector for the Navy. The detector will be powered by one of three uranium fuel cells. The fuel cells are activated sequentially, as needed. The procedure is the following. When the detector is installed at the bottom of the ocean, one fuel cell is activated. When that fuel cell stops working, a second cell is automatically activated. When it stops working, the third cell is automatically activated. The time to failure of each cell has a normal distribution with a mean of 400~hours and a standard deviation of 100~hours. Also, the time to failure of an individual cell is independent of the time to failure of any other cell. 1.iiiSuppose a cell is activated and after 500~hours it is still working. What is the probability it lasts less than 600~hours? a) Some Work b) 0 c) 0.14 d) 0.35 f) 0.86 g) 0.98 i) 1 j) Other ______

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

1.iii

Suppose a cell is activated and after 500~hours it is still working. What is the probability it lasts less than 600~hours?

a) Some Work

b) 0

c) 0.14

d) 0.35

f) 0.86

g) 0.98

i) 1

j) Other ______

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