Apple products have become a household name in America. Suppose that the likelihood of owning an Apple product is 81% for households with kids and 55% for households without kids. Suppose there are 1,380 households in a representative community, of which 760 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product". a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive? O Yes No b. What is the probability that a household is without kids? Note: Round your answer to 4 decimal places. Probability c. What is the probability that a household is with kids and owns Apple product? Note: Do not round intermediate calculations. Round your answer to 4 decimal places. P(ANB) d. What is the probability that a household is without kids and does not own an Apple product? Note: Do not round intermediate calculations. Round your answer to 4 decimal places. Probability

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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Apple products have become a household name in America. Suppose that the likelihood of owning an Apple product is 81% for
households with kids and 55% for households without kids. Suppose there are 1,380 households in a representative community, of
which 760 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an
Apple product".
a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive?
Yes
No
b. What is the probability that a household is without kids?
Note: Round your answer to 4 decimal places.
Probability
c. What is the probability that a household is with kids and owns an Apple product?
Note: Do not round intermediate calculations. Round your answer to 4 decimal places.
P(An B)
d. What is the probability that a household is without kids and does not own an Apple product?
Note: Do not round intermediate calculations. Round your answer to 4 decimal places.
Probability
Transcribed Image Text:Apple products have become a household name in America. Suppose that the likelihood of owning an Apple product is 81% for households with kids and 55% for households without kids. Suppose there are 1,380 households in a representative community, of which 760 are with kids and the rest are without kids. Let event A correspond to "Household with kids", and B to "Household owns an Apple product". a. Are the events "household with kids" and "household without kids" mutually exclusive and exhaustive? Yes No b. What is the probability that a household is without kids? Note: Round your answer to 4 decimal places. Probability c. What is the probability that a household is with kids and owns an Apple product? Note: Do not round intermediate calculations. Round your answer to 4 decimal places. P(An B) d. What is the probability that a household is without kids and does not own an Apple product? Note: Do not round intermediate calculations. Round your answer to 4 decimal places. Probability
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