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 14,270 children. a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of14,270children.   b. Using the unrounded mean from part​(a​), find the probability that the number of tumor cases in a group of14,270 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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 14,270 children.

a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of14,270children.
 
b. Using the unrounded mean from part​(a​),
find the probability that the number of tumor cases in a group of14,270
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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