The probability density function of the length of a cutting blade is f (x) = 1.25 for 74.6 < x < 75.4 millimeters. Determine the following: a. P(X < 74.8) b. P(X < 74.8 or X > 75.2) c. If the specifications for this process are from 74.7 to 75.3, what proportion of blades meets specifications?
The probability density function of the length of a cutting blade is f (x) = 1.25 for 74.6 < x < 75.4 millimeters. Determine the following: a. P(X < 74.8) b. P(X < 74.8 or X > 75.2) c. If the specifications for this process are from 74.7 to 75.3, what proportion of blades meets specifications?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 33PPS
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Transcribed Image Text:The probability density function of the length of a cutting blade is f (x) = 1.25 for 74.6 < x <
75.4 millimeters. Determine the following:
a. P(X <74.8)
b. P(X < 74.8 or X > 75.2)
c. If the specifications for this process are from 74.7 to 75.3, what proportion of blades
meets specifications?

Transcribed Image Text:Determine the probability density function of the following cumulative distribution function.
x<-2
0.25x + 0.5
- 2<x<1
F(x)=-
0.5x + 0.25
13x<1.5
1
1.5 <x
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