Question

According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%. Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars. The probability that annual household income is over $50,000 if the residents of a household own 2 cars is:

Answer 1

Answer:

$($

Step-by-step explanation:

• 50,000+50,000
• =100,000

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Answer 2

Answer:

Step-by-step explanation:

Probability household income is over $50,000 is P(A)= 0.6

Probability residents own 2 cars is P(B) = 0.7

Now given P(B|A)=P(A & B)/P(A) = 0.8

P(A & B)= 0.8*0.6=0.48

P(A | B) = P(A & B)/P(B) = 0.48/0.7 = 0.6857