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?
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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
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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