Question

Neuroblastoma, a rare form of malignant tumor, occurs in 11 children in a million, so its probability is 0.000011.

Four cases of neuroblastoma occurred in Cape Breton, which had 13636 children. Assume the number of neuroblastoma cases in a group of 13636 children follows Poisson distribution.
1. Assuming that neuroblastoma occurs as usual, find the mean number of cases in groups of 13636 children.

Answer 1

Answer: The mean number of cases in groups of 13636 children is 0.15 .

Explanation:

Given : The probability that a child have neuroblastoma : p= 0.000011

We assume the number of neuroblastoma cases in a group of 13636 children follows Poisson distribution.

Let n= 13636

Since the neuroblastoma occurs as usual, then the mean number of cases in groups of 13636 children would be

`\mu=np\\\\=(13636)(0.000011)\\\\=0.149996\approx0.15`

Hence, the mean number of cases in groups of 13636 children = 0.15