Probability A car battery has an average lifetime of 48 months with a standard deviation of 6 months. The battery lives are normally distributed. The probability that a given battery will last between 48 months and 60 months is 0. 0.0065 e -0.0139(t- 48)2 dt. 48 Use the integration capabilities of a graphing utility to approximate the integral. Interpret the resulting probability.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 52E
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Probability A car battery has an average lifetime of
48 months with a standard deviation of 6 months. The battery
lives are normally distributed. The probability that a given
battery will last between 48 months and 60 months is
0.
0.0065
e
-0.0139(t- 48)2
dt.
48
Use the integration capabilities of a graphing utility to
approximate the integral. Interpret the resulting probability.
Transcribed Image Text:Probability A car battery has an average lifetime of 48 months with a standard deviation of 6 months. The battery lives are normally distributed. The probability that a given battery will last between 48 months and 60 months is 0. 0.0065 e -0.0139(t- 48)2 dt. 48 Use the integration capabilities of a graphing utility to approximate the integral. Interpret the resulting probability.
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