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 18 comma 81218,812 children. a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 18 comma 81218,812 children. b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 18 comma 81218,812 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?
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 18 comma 81218,812 children. a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of 18 comma 81218,812 children. b. Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 18 comma 81218,812 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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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
18 comma 81218,812
children.a. Assuming that this tumor occurs as usual, find the mean number of cases in groups of
18 comma 81218,812
children.b. Using the unrounded mean from part
(a),
find the probability that the number of tumor cases in a group of
18 comma 81218,812
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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