1. Use the Poisson Distribution to find the indicated probability. If the random variable x has a Poisson Distribution with meanu= 5 find the probability that x = 4

Group of answer choices

0.03509

0.21933

0.47697

0.17547

2. Use the Poisson Distribution to find the indicated probability. The number of lightning strikes in a year at the top of a particular mountain has a Poisson distribution with a mean of 4.2. Find the probability that in a randomly selected year, the number of lightning strikes is 0.

Group of answer choices

0.0255

0.0075

0.0150

0.0195

3. Use the Poisson Distribution to find the indicated probability. A mountain search and rescue team receives a mean of0.44 calls per day. Find the probability that on a randomly selected day, they will receive fewer than two calls.

Group of answer choices

0.2834

0.0726

0.0623

0.9274

4. Use the Poisson model to approximate the probability. Round your answer to four decimal places. Suppose the probability of a major earthquake on a given day is 1 out of 15,000. Use the Poisson distribution to approximate the probability that there will be at least one major earthquake in the next 2000 days.

Group of answer choices

0.1167

0.8833

0.0081

0.8752

0.1248

5. Find the indicated mean. A certain rare form of cancer occurs in 39 children in a million, so its probability is 0.000039. In the city of Normalville, there are 74,230,000 children. A Poisson distribution will be used to approximate the probability that the number of cases of the disease in Normalville children is more than 2. Find the mean of the appropriate Poisson distribution (the mean number of cases in groups of 74,230,000 children).

Group of answer choices

0.000039

28,900

289

2890