A certain rare form of cancer occurs in 37 children in a million, so its probability is 0.000037. In the city of Normalville there are 74,090 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 74,090 children).
A) 2.7
B) 0.000037
C) 27,400
D) 274

Question

Quizplus · Accepted Answer

The mean of the Poisson distribution is calculated by multiplying the probability of the event (0.000037) by the number of trials (74,090 children), which gives 2.74, approximately 2.7.

A Certain Rare Form of Cancer Occurs in 37 Children