Question

Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:

Truck Car Total
Female 5 35
Male 27 21
Total 88


What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that she is a female? Are the events being female and buying a car independent?

Answer 1

Truck Car Total

Female 5 35 40

Male 27 21 48

Total 32 56 88

P(buying a car given a male ) = 21/88 = .238 ≈ 24%

Explanation:

Let B = Probability of buying a car and being male 21/88

Let M = Probability of being a male = 48/88

P(B l M) = P(B and M) / P(M) = (21/88) / (48/88) = 21/48 = .4375 = 44%

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