Please note that I have question about an answer posted to one of my questions. Specifically, please explain how the value of .79389 is derived. Also, what is the value of the greek letter?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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Please note that I have question about an answer posted to one of my questions. Specifically, please explain how the value of .79389 is derived. Also, what is the value of the greek letter? Thank you.

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Given that the mean is 9 and variance is 13.5, find the probability that a light bulb will last between 6 and 12 months INCLUSIVE.

 

 

b.
(6-9)х - теаn 12-9
V13.5 Jvar(x) V13.5
P(6< X < 12) = P
= P(-0.82< z< 0.81)
= 9 (0.82)–9(-0.82)
= 9 (0.82)–1+9(0.82)
= 9 (0.82)×2-1
= 2* 0.79389 -1
= 0.58778
Transcribed Image Text:b. (6-9)х - теаn 12-9 V13.5 Jvar(x) V13.5 P(6< X < 12) = P = P(-0.82< z< 0.81) = 9 (0.82)–9(-0.82) = 9 (0.82)–1+9(0.82) = 9 (0.82)×2-1 = 2* 0.79389 -1 = 0.58778
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