BnS = individual purchased the product and recalls seeing the advertisement "he probabilities assigned were P(B)=0.20, P(S)=0.40, and P(BNS) = 0.12 a. What is the probability of an individual's purchasing the product given that the individual recalls seeing the advertisement? Does seeing the advertise ment increase the probability that the individual will purchase the product? As a decision maker, would you recommend continuing the advertisement (assuming that the cost is reasonable)? b. Assume that individuals who do not purchase the company's soap product buy from its competitors. What would be your estimate of the company's m arket share? Would you expect that continuing the advertisement will incre ase the company's market share? Why or why not? c. The company also tested another advertisement and assigned it values of P(S)=30 and P(Bns) =0.10. What is P(BIS) for this other advertisement? w hich advertisement seems to havehad the higger effect on customer purch

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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1. Trade Kings ran a television advertisement on ZNBC for one of its soap product
s. On the basis of a survey that was conducted, probabilities were assigned to t
he following events.
B = individual purchased the product
S = individual recalls seeing the advertisement
BOS = individual purchased the product and recalls seeing the advertisement
The probabilities assigned were P(B)=D0.20, P(S)=0.40, and P(BNS) = 0.12
ä. What is the probability of an individual's purchasing the product given that
the individual recalls seeing the advertisement? Does seeing the advertise
ment increase the probability that the individual will purchase the product?
As a decision maker, would you recommend continuing the advertisement
(assuming that the cost is reasonable)?
b. Assume that individuals who do not purchase the company's soap product
buy from its competitors. What would be your estimate of the company's m
arket share? Would you expect that continuing the advertisement will incre
ase the company's market share? Why or why not?
C. The company also tested another advertisement and assigned it values of
P(S)=.30 and P(Bns) =0.10. What is P(BIS) for this other advertisement? w
hich advertisement seems to have had the bigger effect on customer purch
ases?
2. It is estimated that 20 % of students who take MRM802 fail in any particular se
mester. Using binomial probability distribution, what is the probability that 4 ou
t of 6 students chosen randomly are going to fail MRM802.
Transcribed Image Text:1. Trade Kings ran a television advertisement on ZNBC for one of its soap product s. On the basis of a survey that was conducted, probabilities were assigned to t he following events. B = individual purchased the product S = individual recalls seeing the advertisement BOS = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P(B)=D0.20, P(S)=0.40, and P(BNS) = 0.12 ä. What is the probability of an individual's purchasing the product given that the individual recalls seeing the advertisement? Does seeing the advertise ment increase the probability that the individual will purchase the product? As a decision maker, would you recommend continuing the advertisement (assuming that the cost is reasonable)? b. Assume that individuals who do not purchase the company's soap product buy from its competitors. What would be your estimate of the company's m arket share? Would you expect that continuing the advertisement will incre ase the company's market share? Why or why not? C. The company also tested another advertisement and assigned it values of P(S)=.30 and P(Bns) =0.10. What is P(BIS) for this other advertisement? w hich advertisement seems to have had the bigger effect on customer purch ases? 2. It is estimated that 20 % of students who take MRM802 fail in any particular se mester. Using binomial probability distribution, what is the probability that 4 ou t of 6 students chosen randomly are going to fail MRM802.
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