a) An oil company conduct have a 20% chance of stri seventh well drilled? b) A lake contains 600 fish, randomly catches 10 fish

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) An oil company conducts a geological study that indicates that an exploratory oil well should
have a 20% chance of striking oil. What is the probability that the third strike comes on the
seventh well drilled?
b) A lake contains 600 fish, eighty (80) of which have been tagged by scientists. A researcher
randomly catches 10 fish from the lake. Find the probability mass function of X, the number of
fish in the researcher's sample which are tagged.
c) Students arrive at a local restaurant according to an approximate Poisson process at a mean
rate of 30 students per hour. What is the probability that the bouncer has to wait more than 3
minutes to card the next student?
Transcribed Image Text:a) An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. What is the probability that the third strike comes on the seventh well drilled? b) A lake contains 600 fish, eighty (80) of which have been tagged by scientists. A researcher randomly catches 10 fish from the lake. Find the probability mass function of X, the number of fish in the researcher's sample which are tagged. c) Students arrive at a local restaurant according to an approximate Poisson process at a mean rate of 30 students per hour. What is the probability that the bouncer has to wait more than 3 minutes to card the next student?
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