1-Gerald sells an SUV on 30% of all days. Gerald’s roommate makes fish stick sal

Question

1-Gerald sells an SUV on 30% of all days. Gerald’s roommate makes fish stick salad for dinner on 20% of all evenings. Gerald is not particularly fond of fish stick salad.

A) What is the probability that Gerald both sells an SUV tomorrow and gets fish stick salad for dinner tomorrow evening? B) What is the probability that Gerald sells an SUV tomorrow and/or gets fish stick salad for dinner tomorrow evening? C) What probability laws ules did you use to calculate the probabilities in A) and B)?

2-There are three different salesman who work at Gerald’s dealership. Gerald handles 30% of all sales. Assume the historical rates of success for sales to customers have been 70% success given that a car is sold by Gerald, and 50% success given that another coworker is the salesperson. A) Calculate the probability that any given customer buys a car from Gerald. B) Calculate the probability that any given customer buys a car from any one of Gerald’s coworkers (not Gerald). C) What law did you use to calculate these probabilities?

Explanation / Answer

1) Considering both cases to be independent

a) P(SUV and fish salad) = 0.3 * 0.2 = 0.06

b) P(SUV or fish salad) = P(SUV) + P(fish salad) - P(SUV and fish salad)

P(SUV or fish salad) = 0.3 + 0.2 - 0.06 = 0.44

c) P(SUV and fish salad) = P(SUV) * P(fish salad)

P(SUV or fish salad) = P(SUV) + P(fish salad) - P(SUV and fish salad)

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.