3. Suppose that geomagnetic storms occur according to a Poisson process with a rate 2.5 storms...
An incident occurs according to the poisson process with a rate of 4 per week. What is the probability that there will be zero incidents during exactly 3 of the next 5 days? Additionally, What is the expected time between consecutive incidents?
Earthquakes occur in the United States according to a Poisson process having a rate of 0.25 per day. Suppose we begin counting earthquakes at some point in time. a. What is the probability that 6 earthquakes occur in July 2050? b. On average, when will the 50th earthquake occur? 25 Example 4.5 What is the probability that 2 or more earthquakes occur over a 50-day period? c. d. What is the probability that it takes more than 10 days until...
Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6th and 7th earthquakes? Answer to the nearest integer.
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t. (Round your answers to three decimal places.) (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? What is the probability that at least 14 small aircraft arrive during a 1-hour period? What...
The number of storms in a good year is a Poisson random variable with mean 3, whereas in a bad year the number is Poisson with mean 5. The probability that next year will be a good year has probability 0.6 and being a bad year has probability 0.4. Find the expected value and variance of the number of storms next year.
Suppose that the number of hurricanes in a certain region occur in accordance with a Poisson process with rate of 0.1 per month. (a) What is the probability that the next hurricane will occur in less than two years? (b) What is the probability that at least nine of the next ten years has no hurricanes?
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter u= 8t. (Round youranswers to three decimal places.) (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? What is the probability that at least 6 small aircraft arrive during a 1-hour period? What is...
Suppose electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks. a) What is the probability there will be 5 failures in 10 weeks? b) What is the expected value of number of failures in 10 weeks? c) What is the variance in the number of failures in 10 weeks?
4. Suppose that spectators arrive to a baseball game according to a Poisson process with a rate of 10 per minute. If a spectator wears a baseball jersey with probability 1, what is the probability that no spectator wearing a baseball jersey will arrive during the first four minutes? 4. Suppose that spectators arrive to a baseball game according to a Poisson process with a rate of 10 per minute. If a spectator wears a baseball jersey with probability 1,...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers per hour. Suppose we begin observing the bank at some point in time. What is the probability that 3 customers arrive in the first 1.8 hours? Customers arrive at a bank according to a Poisson process having a rate of 2.3 customers per hour. Suppose we begin observing the bank at some point in time. What is the expected value of the number of...