Let Z be a standard normal random variable. For a) - e) calculate the following probabilities: a) P(Z < .35) b) P(Z > .35) c) P(.35 ≤ Z ≤ .65) d) P(−1.5 ≤ Z) e) P(Z = 2.5) f) Find the value of the constant c that makes this statement correct: P(−c ≤ Z ≤ c) = .6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Let Z be a standard normal random variable. For a) - e) calculate the following probabilities:
a) P(Z < .35)
b) P(Z > .35)
c) P(.35 ≤ Z ≤ .65)
d) P(−1.5 ≤ Z)
e) P(Z = 2.5)
f) Find the value of the constant c that makes this statement correct: P(−c ≤ Z ≤ c) = .6

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