i) If 5% of the items produced turn out to be defective. Then find out the probability that out of 25 items selected at random there are a) Exactly three defective b) At least two defective c) Exactly four defective d) Find the mean and the variance ii) Bank customer arrive randomly on a week day afternoon at an average of 3.2 customers every 4 minutes a) What is the probability of having more than 7 customers arriving at the bank in an interval of 4 minutes? b) What is the standard deviation of the number of customers arriving in a 4 minutes interval?

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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i) If 5% of the items produced turn out to be defective. Then find out the probability that out of 25 items selected at random there are
a) Exactly three defective
b) At least two defective
c) Exactly four defective
d) Find the mean and the variance
ii) Bank customer arrive randomly on a week day afternoon at an average of 3.2 customers every 4 minutes
a) What is the probability of having more than 7 customers arriving at the bank in an interval of 4 minutes?
b) What is the standard deviation of the number of customers arriving in a 4 minutes interval?

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