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 12,441 children. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 12,441 children. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 12,441 children is 0 or 1. What is the probability of more than one case? Does the cluster of four cases appear to be attributable to random chance? Why or why not?

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 12,441 children. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 12,441 children. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 12,441 children is 0 or 1. What is the probability of more than one case? Does the cluster of four cases appear to be attributable to random chance? Why or why not?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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