The amount of time until the next earthquake in California is described by the following probability function 0 f(x) = {e-be ce if x < 0 if x > 0 where c is a constant. Round all answers to three decimal places. a) Find the constant c. b) Find the probability that the next earthquake occurs after 2.8 days. c) Given that 1 days has already passed, find the probability that the next earthquake occurs after an additional 2.6 days. d) What is the expected time until the next earthquake in California?

The amount of time until the next earthquake in California is described by the following probability function 0 f(x) = {e-be ce if x < 0 if x > 0 where c is a constant. Round all answers to three decimal places. a) Find the constant c. b) Find the probability that the next earthquake occurs after 2.8 days. c) Given that 1 days has already passed, find the probability that the next earthquake occurs after an additional 2.6 days. d) What is the expected time until the next earthquake in California?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 69E

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