In: Statistics and Probability
Let the event S = Successive Driving Range US = Unsuccessive Driving Range FR = Favourable result from Research UF = Unfavourable result from Research
1. A priori tree diagram:
2. Posteriori diagram:
3. Given:
Kadio, believes that the chance of a successful driving range is about 40% P(S) = 0.40; By complementary probability, P(US) = 1 - 0.40 = 0.60 Also,Probability that the research will be favorable if the driving range facility will be successful P(FR|S) = 0.90, By complementary probability, P(UF|S) = 0.10 and Probability that the marketing research will be unfavorable if indeed the facility will be unsuccessful P(UF|US) = 0.80, By complementary probability, P(FR|US) = 0.20
To find: Chances of a successful driving range given a favorable result from the marketing survey i.e. = ?
By Bayes theorem,
= 0.75
Hence, the probability Kadio was interested in is obtained as 0.75.