Question

The random variable S has a compound Poisson distribution with Poisson parameter 4. The individual claim...

The random variable S has a compound Poisson distribution with Poisson parameter 4.

The individual claim amounts are either 1, with probability 0.3, or 3, with probability 0.7.

Calculate the probability that S = 4.

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
Let X be a random variable which follows a Poisson distribution whose parameter is equal to...
Let X be a random variable which follows a Poisson distribution whose parameter is equal to 1 . Determine E (X | 4 <X <14).
Suppose the random variable X has Poisson distribution with rate parameter l. Let g be the...
Suppose the random variable X has Poisson distribution with rate parameter l. Let g be the function defined by g(u) = 1/(u+1) , u >0. Show E(g(X)) >g(E(X)).
5.2.12. Let the random variable Zn have a Poisson distribution with parameter μ = n. Show...
5.2.12. Let the random variable Zn have a Poisson distribution with parameter μ = n. Show that the limiting distribution of the random variable Yn =(Zn−n)/√n is normal with mean zero and variance 1. (Hint: by using the CLT, first show Zn is the sum of a random sample of size n from a Poisson random variable with mean 1.)
Let X be a Poisson random variable with parameter λ and Y an independent Bernoulli random...
Let X be a Poisson random variable with parameter λ and Y an independent Bernoulli random variable with parameter p. Find the probability mass function of X + Y .
Assume a Poisson random variable has a mean of 4 successes over a 128-minute period. a....
Assume a Poisson random variable has a mean of 4 successes over a 128-minute period. a. Find the mean of the random variable, defined by the time between successes. b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.) c. Find the probability that the time to success will be more than 60 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
b. If a random variable follows a Poisson distribution with λ = 4 and t =...
b. If a random variable follows a Poisson distribution with λ = 4 and t = 2. Find     (i) The probability of more than 5 successes.    (ii) The probability of at most 2 successes.    (iii) The probability of less than 2 successes.    (iv) The probability of between 2 and 5 successes, P(2 ≤ X ≤ 5). The expected value (E(x)), variance (σ2), and standard deviation of this Poisson distribution. (Show work)
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
If random variable X has a Poisson distribution with mean =10, find the probability that X...
If random variable X has a Poisson distribution with mean =10, find the probability that X is more than the 8. That is, find P(X>8) Round to 4 decimal places.
A random variable x has the following probability distribution. Determine the standard deviation of x. x...
A random variable x has the following probability distribution. Determine the standard deviation of x. x f(x) 0 0.05 1 0.1 2 0.3 3 0.2 4 0.35 A random variable x has the following probability distribution. Determine the expected value of x. x f(x) 0 0.11 1 0.04 2 0.3 3 0.2 4 0.35 QUESTION 2 A random variable x has the following probability distribution. Determine the variance of x. x f(x) 0 0.02 1 0.13 2 0.3 3 0.2...
suppose random variable X has an exponential distribution with parameter lambda=4. Find the median of X.
suppose random variable X has an exponential distribution with parameter lambda=4. Find the median of X.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT