Requests for a chat with a customer service representative on MaxTrend.com's website conform roughly to the Poisson conditions.The average number of requests is six per hour.Compute the probability of exactly two requests during the next thirty minutes.
A).2240
B).2617
C).3419
D).2509
E).2864

Question

Quizplus · Accepted Answer

The probability of exactly two requests during the next thirty minutes can be calculated using the Poisson distribution with a mean of 3 (since the average number of requests per hour is 6, and there are 30 minutes in an hour). The formula for the Poisson distribution is:P(X = k) = (e^-λ * λ^k) / k!where:λ is the mean number of requests per hourk is the number of requestsPlugging in the values we have:P(X = 2) = (e^-3 * 3^2) / 2! = 0.2240Therefore, the probability of exactly two requests during the next thirty minutes is 0.2240, or 22.4%.

Requests for a Chat with a Customer Service Representative on MaxTrend.com's