James gets headaches. The time between one headache and the next is an exponential random variable....
James gets headaches. The time between one headache and the next is an exponential random variable. He has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. James has not had a headache in 5 days. What is the probability that he will go for at least 5 more days before the next headache?
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James gets headaches. The time between one headache and the next
is an exponential random variable....
The length of time for one individual to be served at a cafeteria is a random...
The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 6 minutes. What is the probability that a person is served in less than 4 minutes on at least 5 of the next 7 days?
The length of time for one individual to be served at a cafeteria is a random...
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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes. A) What is the probability that more than three customers arrive in 10 minutes? B) What is the probability that the time until the 6th customer arrives is less than 5 minutes?
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10. The length of time for one individual to be served at a cafeteria is a...
10. The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 4 minutes. (a) What is the probability that a person is served in less than 3 minutes? (b) What is the probability that a person is served in less than 3 minutes on at least 4 of the next 6 days? (Hint: use binomial distribution.)
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Problem #3. X is a random variable with an exponential distribution with rate 1 = 3...
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Problem #3. X is a random variable with an exponential distribution with rate 1 = 3 Thus the pdf of X is f(x) = le-ix for 0 < x where = 3. a) Using the f(x) above and the R integrate function calculate the expected value of X. b) Using the dexp function and the R integrate command calculate the expected value of X. c) Using the pexp function find the probability that .4 SX 5.7 d) Calculate the probability...
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