Example 4.4 Find the probability 1. P(0.2 ≤ Z ≤ 1.32) or determine the constant c. P(Z > -0.06)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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How do I find these values?
The cdf:
f(z: 0, 1)
=
(2) = P(Z ≤ z) =
-e-2²/2
2π
= [²_f(u)dy = fo?
1
-2²/2 dy
Lendy
Example 4.4 Find the probability or determine the constant c.
1. P(0.2 ≤ Z ≤ 1.32)
2. Þ(c) = 0.9838
P(Z > -0.06)
P(-c ≤ Z ≤ c) = 0.68
P(|Z| ≥ c) = 0.05
38
Transcribed Image Text:The cdf: f(z: 0, 1) = (2) = P(Z ≤ z) = -e-2²/2 2π = [²_f(u)dy = fo? 1 -2²/2 dy Lendy Example 4.4 Find the probability or determine the constant c. 1. P(0.2 ≤ Z ≤ 1.32) 2. Þ(c) = 0.9838 P(Z > -0.06) P(-c ≤ Z ≤ c) = 0.68 P(|Z| ≥ c) = 0.05 38
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