The amount of time until the next earthquake in California is described by the following probability function 0 f(x) = {e-be ce 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 time until the graduates of a department find their first jobs after graduation follows an Exponential distribution with mean 10 months. The probability that a graduate of this department will not be able to find a job in 1.5 years is ..........

A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.  Give your answer accurate to at least 3 decimal places

The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x)=0.50e-0.50x              for x ≥ 0 What is the mean time between telephone calls? What is the probability of 30 seconds or less between telephone calls?  What is the probability of 1 minute or less between telephone calls?  What is the probability of 5 or more minutes without a telephone call?

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A certain disease has an incidence rate of 0.7%. If the false negative rate is 6% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places

A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.