pls help with this statistics question.

Telephone calls to the national reservation center for motels Iwere studied. A certain model dened a Type I call to be a call from a motel's computer tenninalto the national reservation center. For a certain motel, the number, )L of Type 1 calls per hour has a Poisson disth'bution 1illith parameter 3'. =19. Answerthe following questions. :1. Determine the probability that the number of Type 1 calls made from this motel during a period ot1 hour will be exactly three. ' The probability that exactly three Type 1 calls are made is D. {Do not round until the nal answer. Then round to four decimal places as needed.) b. Determine the probability that the number of Type 1 calls made from this motel during a pen'od of 1 hour will be at most three. The probability that at most three Type 1 calls are made is D. {Do not round until the nal answer. Then round to four decimal places as needed.) c. Determine the probability that the number of Type 1 calls made tnom this motel dun'ng a period ot1 hour will he at least three. (Hint: Use the complementation rule.) The probability that at least three Type 1 calls are made is D. {Do not round until the nal answer. Then round to four decimal places as needed.) d. Find the mean of the random vanaole 1 I1 = D e. Find the standard deviation of the random Il'arialJIIe X. m {Round to three decimal places as needed.)