Answered: system consists of four components…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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