The amount of time until the next earthquake in California is described by the following probability function if x < 0 ce-5 if x > 0 where c is a constant. Round all answers to three decimal places. f(x) = (0 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Part c and d
Question 11
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a) Find the constant c.
<
The amount of time until the next earthquake in California is described by the following probability
function
>
if x < 0
f(x) = { 0 -5x if x > 0
ce
where c is a constant. Round all answers to three decimal places.
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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?
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b
EO
W
H
Transcribed Image Text:Question 11 ▼ a) Find the constant c. < The amount of time until the next earthquake in California is described by the following probability function > if x < 0 f(x) = { 0 -5x if x > 0 ce where c is a constant. Round all answers to three decimal places. Submit Question 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? Q Search b EO W H
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