In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent six shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of six shark attacks. a) What is the probability all six shark attacks are nonfatal? b) What is the probability that two or more of the six shark attacks are nonfatal? c) What is the expected number of nonfatal shark attacks out of the six? d) What is the standard deviation of the r-probability distribution?
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent six shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of six shark attacks. a) What is the probability all six shark attacks are nonfatal? b) What is the probability that two or more of the six shark attacks are nonfatal? c) What is the expected number of nonfatal shark attacks out of the six? d) What is the standard deviation of the r-probability distribution?
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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Transcribed Image Text:In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.†
You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical
profile regarding the most recent six shark attacks, all of which were nonfatal. Let r be the number of
nonfatal attacks out of a random sample of six shark attacks.
a) What is the probability all six shark attacks are nonfatal?
b) What is the probability that two or more of the six shark attacks are nonfatal?
c) What is the expected number of nonfatal shark attacks out of the six?
d) What is the standard deviation of the r-probability distribution?
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