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 14,224 children. a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 14,224 children. b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 14,224 children is 0 or 1. c. What is the probability of more than one case?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 14,224 children.
a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of
14,224 children.
b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 14,224 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?
Transcribed Image Text: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 14,224 children. a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 14,224 children. b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 14,224 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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