Question

Suppose that the number of snow storms in Fort Wayne’s winter is Poisson distributed but with...

Suppose that the number of snow storms in Fort Wayne’s winter is Poisson distributed but with a parameter value that is uniformly distributed over (0, 5). That is, Λ is uniformly distributed over (0, 5), and given that Λ = λ, the number of storms is Poisson with mean λ. Find the probability that there are at least three storms this winter

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1- Suppose scores on an test are normally distributed. If the test has a mean of...
1- Suppose scores on an test are normally distributed. If the test has a mean of 100 and a standard deviation of 10, what is the probability that a person who takes the test will score 120 or more 2- The average amount of weight gained by a person over the winter months is uniformly distributed from 0 to 30 lbs. Find the probability a person will gain between 10 and 15 lbs during the winter months.
The number of coughs during an 80-minute homework in a professor's statistics class has a Poisson...
The number of coughs during an 80-minute homework in a professor's statistics class has a Poisson distribution with a mean of 0.63 coughs per minute. What is the probability that at least one cough will occur in any given 5-minute time span? Give your answer to three decimal places. Hint: You will need to first find the mean number of coughs per five-minute span (λ) using the mean number of coughs per minute, μ.
The number of medical emergency calls per hour has a Poisson distribution with parameter λ. A...
The number of medical emergency calls per hour has a Poisson distribution with parameter λ. A time record of emergency calls is available for a sufficient amount of time and parameter λ is assumed to be the same through out the available recording of calls and sufficiently large. Determine an unbiased estimator of    λ2 and estimate its efficiency. If λ = 2, what is the probability of at least 16 emergency calls in the 5 consecutive hours of a single...
Suppose that the number of defects on a roll of magnetic recording tape has a Poisson...
Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which the mean λ is known to be either 1 or 5. Suppose the prior pmf for λ is: P[λ = 1] = 0.4 P[λ = 5] = 0.6 Suppose that we examine five tapes, and find that the number of defects are x1 = 3,x2 = 1,x3 = 4,x4 = 6 and x5 = 2. Show that the posterior distribution for...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter λ = 2. Assume further that each of the eggs hatches with probability p = 0.8, and different eggs hatch independently. Let X denote the total number of survivors. (i) What is the distribution of X? (ii) What is the probability that there is an even number of survivors? (iii) Compute the probability mass function of the random variable sin(πX/2) and its expectation.
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter...
Suppose that the number of eggs that a hen lays follows the Poisson distribution with parameter λ = 2. Assume further that each of the eggs hatches with probability p = 0.8, and different eggs hatch independently. Let X denote the total number of survivors. (i) What is the distribution of X? (ii) What is the probability that there is an even number of survivors? 1 (iii) Compute the probability mass function of the random variable sin(πX/2) and its expectation.
Suppose that the average number of accidents at an intersection is 2 per month. a) Use...
Suppose that the average number of accidents at an intersection is 2 per month. a) Use Markov’s inequality to find a bound for the probability that at least 5 accidents will occur next month. b) Using Poisson random variable (λ = 2) calculate the probability that at least 5 accidents will occur next month. Compare it with the value obtained in a). c) Let the variance of the number of accidents be 2 per month. Use Chebyshev’s inequality to find...
The occurrence of rust attacks along a gas pipeline can be modeled as a Poisson process...
The occurrence of rust attacks along a gas pipeline can be modeled as a Poisson process with intensity λ per kilometer. This means that the number of rust attacks per kilometer along the pipeline can be assumed to be Poisson distributed with expectation value λ. In the first instance, suppose that it is known that λ = 5. a) What is the probability of just two rust attacks in half a kilometer? What is the probability of more than two...
Q: The number of arrivals at a car wash is Poisson distributed with a mean of...
Q: The number of arrivals at a car wash is Poisson distributed with a mean of three cars per hour. What is the probability that there are six or seven cars will arrive from 1:00pm to 4:00pm in one particular day?
Assume that the number of calls coming into a hotel’s reservation center follow a Poisson process...
Assume that the number of calls coming into a hotel’s reservation center follow a Poisson process with a mean of four calls per minute. a. Find the probability that no calls will arrive in a given 2-minute period. b. Find the probability that at least ten calls will arrive in a given 3-minute period. c. Find the probability that at least twenty calls will arrive in a given 5-minute period