system consists of four components connected as shown below in the  following diagram. Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail  are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system  functions?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A system consists of four components connected as shown below in the 
following diagram.
Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail 
are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system 
functions?
b) A process manufactures ball bearing whose diameters are normally distributed 
with mean 2.505?? and standard deviation 0.008??. Specifications call for the 
diameter to be in the interval 2.5 ± 0.01 cm. what proportion of the ball bearings 
will meet the specification

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