A supermarket manager finds that 20% of his customers buy Brand X cornflakes. The other 80% buy Brand Z. a) In a random sample of 10 customers, what is the probability that at least 4 customers buy Brand X? b) In a random sample of 100 customers, what is the probability that between 15 and 30 customers (inclusively) buy Brand X? c) What is the minimum number of boxes of Brand X cornflakes that the manager should have in stock to ensure, with a probability of at least .95, that he can meet the Brand X demands of a random sample of 225 customers (assuming 1 box per customer)? Answers: 4. a) 0.121 b) 0.9119 c) 55
A supermarket manager finds that 20% of his customers buy Brand X cornflakes. The other 80% buy Brand Z. a) In a random sample of 10 customers, what is the probability that at least 4 customers buy Brand X? b) In a random sample of 100 customers, what is the probability that between 15 and 30 customers (inclusively) buy Brand X? c) What is the minimum number of boxes of Brand X cornflakes that the manager should have in stock to ensure, with a probability of at least .95, that he can meet the Brand X demands of a random sample of 225 customers (assuming 1 box per customer)? Answers: 4. a) 0.121 b) 0.9119 c) 55
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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4. A supermarket manager finds that 20% of his customers buy Brand X cornflakes. The other 80% buy Brand Z.
a) In a random sample of 10 customers, what is the probability that at least 4 customers buy Brand X?
b) In a random sample of 100 customers, what is the probability that between 15 and 30 customers (inclusively) buy Brand X?
c) What is the minimum number of boxes of Brand X cornflakes that the manager should have in stock to ensure, with a probability of at least .95, that he can meet the Brand X demands of a random sample of 225 customers (assuming 1 box per customer)?
Answers:
4. a) 0.121
b) 0.9119
c) 55
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Step 1: Obtain the probability that at least 4 customers buy Brand X.
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VIEWStep 3: Obtain the probability that between 15 and 30 customers (inclusively) buy Brand X.
VIEWStep 4: Obtain the minimum number of boxes of Brand X cornflakes that the manager should have in stock.
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