Question

The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per...

The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per hour.

1) Find the probability that there are no claims during 10 minutes

2) Find the probability that there are at least two claims during 30 minutes

3) Find the probability that there are no more than one claim during 15 minutes

4) Find the expected number of claims during a period of 2 hours

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
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims...
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per hour. a) Find the probability that there are no claims during 10 minutes. b) Find the probability that there are at least two claims during 30 minutes. c) Find the probability that there are no more than one claim during 15 minutes. d) Find the expected number of claims during a period of 2 hours. (5)
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims...
2. The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per hour. a) Find the probability that there are no claims during 10 minutes. (10) b) Find the probability that there are at least two claims during 30 minutes. (10) c) Find the probability that there are no more than one claim during 15 minutes. (10) d) Find the expected number of claims during a period of 2 hours. (5)
The number of people arriving at an emergency room follows a Poisson distribution with a rate...
The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour. a.What is the probability that exactly 7 patients will arrive during the next hour? b. What is the probability that at least 7 patients will arrive during the next hour? c. How many people do you expect to arrive in the next two hours? d. One in four patients who come to the emergency room in hospital. Calculate the...
If the number of arrivals in a cell phone shop follows a Poisson distribution, with a...
If the number of arrivals in a cell phone shop follows a Poisson distribution, with a reason of 10 clients per hour: What is the probability that in the next half hour, 4 clients arrive? What is the probability that in the next two hours, between 18 and 22 clients arrive? What is the average time between arrivals? What is the median of the time between arrivals? What is the probability that the time that transpires for the next arrival...
Let the mean success rate of a Poisson process be 12 successes per hour. a. Find...
Let the mean success rate of a Poisson process be 12 successes per hour. a. Find the expected number of successes in a 19 minutes period. (Round your answer to 4 decimal places.) b. Find the probability of at least 2 successes in a given 19 minutes period. (Round your answer to 4 decimal places.) c. Find the expected number of successes in a two hours 30 minutes period. (Round your answer to 2 decimal places.) d. Find the probability...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution...
Suppose that the number of accidents occurring on a highway per hour follows a Poisson distribution with a mean of 1.25. What is the probability of exactly three accidents occur in hour? What is the probability of less than two accidents in ten minutes? What is the probability that the time between two successive accidents is at least ten minutes? If ten minutes have gone by without an accident, what is the probability that an accident will occur in the...
The arrival of patients in a clinic (with only 1 doctor) follows a Poisson process with...
The arrival of patients in a clinic (with only 1 doctor) follows a Poisson process with a level of 30 patients per hour. The clinic has a waiting room that can accommodate no more than 14 people. The doctor's service time at the clinic follows an exponential distribution with an average of 3 minutes per patient. a. Determine the opportunity that a patient who comes doesn't need to wait. b. Determine the opportunity that a patient who comes will find...
Consider a customer arrival process that is a Poisson process. To find the probabilities described below,...
Consider a customer arrival process that is a Poisson process. To find the probabilities described below, which of the following random variable selections (as Poisson, Exponential or k-Erlang) is correct? to find the probability that the time between the 2nd and 3rd customer arrivals is 5 minutes, use a k-Erlang random variable with k>1 to find the probability that 10 customers arrive during a 30-minute period, use a k-Erlang random variable to find the probability that the total time elapsed...
The number of automobiles entering a tunnel per 2-minute period follows a Poisson distribution. The mean...
The number of automobiles entering a tunnel per 2-minute period follows a Poisson distribution. The mean number of automobiles entering a tunnel per 2-minute period is four. (A) Find the probability that the number of automobiles entering the tunnel during a 2- minute period exceeds one. (B) Assume that the tunnel is observed during four 2-minute intervals, thus giving 4 independent observations, X1, X2, X3, X4, on a Poisson random variable. Find the probability that the number of automobiles entering...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT