10. Let x be a binomial random variable with n = 150 and p = 0.4. Use the normal approximation to find the following. a) P(48 < X < 66) μ = np = 60 o = √np(1-p) = 6 P(65.5) - P(47.5) = $(0.917)-0(-2.08) = 0.8024 b) P(X> 69) P(X>69) = 1- P(X = 69.5) = 1−ø(- c) P(X ≤ 70) 70.5-60. 69.5–60. 6 P(X <=70) = P(X = 70.5) = (- -) = = 0.9599 -) = 0.0571
10. Let x be a binomial random variable with n = 150 and p = 0.4. Use the normal approximation to find the following. a) P(48 < X < 66) μ = np = 60 o = √np(1-p) = 6 P(65.5) - P(47.5) = $(0.917)-0(-2.08) = 0.8024 b) P(X> 69) P(X>69) = 1- P(X = 69.5) = 1−ø(- c) P(X ≤ 70) 70.5-60. 69.5–60. 6 P(X <=70) = P(X = 70.5) = (- -) = = 0.9599 -) = 0.0571
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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