The amount of time until the next earthquake in California is described by the following probability function - fo -5 т 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?

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Question 11
f(x) =
I
The amount of time until the next earthquake in California is described by the following probability
function
ce
-5x
▼
if x ≤0
if x > 0
a) Find the constant c.
<
>
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?
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Transcribed Image Text:Question 11 f(x) = I The amount of time until the next earthquake in California is described by the following probability function ce -5x ▼ if x ≤0 if x > 0 a) Find the constant c. < > 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
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