People arrive at a store based on a Poisson process with a constant rate of 3 per minute. What is the probability that the first and second customers arrive within 10 seconds?

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While driving in the car with his family Jeffery likes to look out the window to find punch buggies. On average Jeffery see 3.85 punch buggies per hour. Assume seeing punch buggies follows a poisson process. A. Find the probability Jeffrey sees exactly 2 punch buggies in an hour. B. Find the probability Jeffrey sees more than 2 punch buggies in an hour.

In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.

The number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?

Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute.  Find the probability of 3 customers arriving within a minute.

Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)

In a recent​ year, an author wrote178checks. Use the Poisson distribution to find the probability​ that, on a randomly selected​ day, he wrote at least one check what is the probability  SHARE

The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.