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Exponential Distribution

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Wize University Statistics Textbook > Continuous Probability Distributions

Exponential Distribution

3 Activities


The number of days that Bender the Robot can last with a fully charged battery can be modelled by an exponential distribution. He is expected to last β=100\beta=100 days before needing to recharge.

a) What is the probability that he will last longer than 120 days?

b) What is the probability that he will last fewer than 150 days?

c) Bender already lasted 120 days so far since his large full charge. "Eh.. I got another month," he said. Given that he lasted 120 days, what is the probability that he will last 30 more days (i.e. 150 days in total)?
More Exponential Distribution Questions:
Exponential Distribution
The number of days that Bender the Robot can last with a fully charged battery can be modelled by an exponential distribution. He is expected to last β=100\beta=100 days before needing to recharge.
a) What is the probability that he will last longer than 120 days?
b) What is the probability that he will last fewer than 150 days?
Exponential Distribution
On average, 2 apples fall from a tree every 45 seconds. Assuming it follows an exponential distribution, what is the probability that it will take between 30 seconds to a minute for 1 apple to drop?
Exponential Distribution
Pho Mo is a comedian who can make the audience laugh 4 times a minute. Suppose the time it takes him to make people laugh follows an exponential distribution. What is the probably that he gets no laughter in the first 30 seconds?
Exponential Distribution
The time (in hours) for Ming to repair a watch follows an exponential distribution with an average of 2 hours. A customer drops off a broken watch and tells Ming that he needs it in 2 hours. What is the probability that Ming will take longer than 2 hours to repair it?
Statistical Properties: Practice
True or false? Enter "T" for true; "F" for false (without quotations).
Exponential Distribution
Farid owns a jewelry shop in a bad side of town where he gets robbed an average of 2 times a week. A week has gone by but there has been no robbery. Which of the following is true?