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578 Laundry detergent A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. Result of Advertising for New Laundry Product Tried the New Product Advertising Status Yes No Seen the ad 10% 25% Have not seen ad 5% 60% a. Estimate the probability that a randomly chosen con- sumer would have seen advertising for the new prod- uct and tried the product. b. Given that a randomly chosen consumer has seen the product advertised, estimate the probability that the person has tried the product. c. Let A be the event that a consumer has tried the product. Let B be the event that a consumer has seen the product advertised. Express the probabilities found in parts a and b in terms of A and B. d. Are A and B independent? Justify your answer.

578 Laundry detergent A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. Result of Advertising for New Laundry Product Tried the New Product Advertising Status Yes No Seen the ad 10% 25% Have not seen ad 5% 60% a. Estimate the probability that a randomly chosen con- sumer would have seen advertising for the new prod- uct and tried the product. b. Given that a randomly chosen consumer has seen the product advertised, estimate the probability that the person has tried the product. c. Let A be the event that a consumer has tried the product. Let B be the event that a consumer has seen the product advertised. Express the probabilities found in parts a and b in terms of A and B. d. Are A and B independent? Justify your answer.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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578 Laundry detergent A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. Result of Advertising for New Laundry Product Tried the New Product Advertising Status Yes No Seen the ad 10% 25% Have not seen ad 5% 60% a. Estimate the probability that a randomly chosen con- sumer would have seen advertising for the new prod- uct and tried the product. b. Given that a randomly chosen consumer has seen the product advertised, estimate the probability that the person has tried the product. c. Let A be the event that a consumer has tried the product. Let B be the event that a consumer has seen the product advertised. Express the probabilities found in parts a and b in terms of A and B. d. Are A and B independent? Justify your answer.
Transcribed Image Text:578 Laundry detergent A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. Result of Advertising for New Laundry Product Tried the New Product Advertising Status Yes No Seen the ad 10% 25% Have not seen ad 5% 60% a. Estimate the probability that a randomly chosen con- sumer would have seen advertising for the new prod- uct and tried the product. b. Given that a randomly chosen consumer has seen the product advertised, estimate the probability that the person has tried the product. c. Let A be the event that a consumer has tried the product. Let B be the event that a consumer has seen the product advertised. Express the probabilities found in parts a and b in terms of A and B. d. Are A and B independent? Justify your answer.
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