4. A consumer organization that evaluates new automobiles customarily reports the number of major defects in each car examined. Let X denote the number of major defects in a randomly selected car of a certain type. The cdf of X is as follows: 0.06 0sx < 1 |0.19 1sx < 2 J0.39 2 < x < 3 10.67 3Sx< 4 0.92 43) c. P(2 < X < 5) d. P(2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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4. A consumer organization that evaluates new automobiles customarily reports the number
of major defects in each car examined. Let X denote the number of major defects in a
randomly selected car of a certain type. The cdf of X is as follows:
0.06 0sx < 1
|0.19 1sx < 2
J0.39 2 < x < 3
10.67 3Sx< 4
0.92 4<x < 5
0.97 5 <x < 6
F(x) =
6 < x
Calculate the following probabilities directly from the cdf:
a. P(X=2)
b. P(X>3)
c. P(2 < X < 5)
d. P(2<X<5)
Transcribed Image Text:4. A consumer organization that evaluates new automobiles customarily reports the number of major defects in each car examined. Let X denote the number of major defects in a randomly selected car of a certain type. The cdf of X is as follows: 0.06 0sx < 1 |0.19 1sx < 2 J0.39 2 < x < 3 10.67 3Sx< 4 0.92 4<x < 5 0.97 5 <x < 6 F(x) = 6 < x Calculate the following probabilities directly from the cdf: a. P(X=2) b. P(X>3) c. P(2 < X < 5) d. P(2<X<5)
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