Note: This is a practice problem only. Thank you.  A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 16,657 children.   a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of 16,657 children. b. Using the unrounded mean from part ​(a​), find the probability that the number of tumor cases in a group of 16,657 children is 0 or 1. c. What is the probability of more than one​ case? d. Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?

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Note: This is a practice problem only. Thank you. 

A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 16,657 children.
 
a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of 16,657 children.
b. Using the unrounded mean from part
​(a​), find the probability that the number of tumor cases in a group of
16,657 children is 0 or 1.
c. What is the probability of more than one​ case?
d. Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?
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