Answer:
The probability that a customer purchases a black SUV is 0.05.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>At a certain car dealership, the probability that a customer purchases an SUV is </em><em>0.20</em><em>. Given that a customer purchases an SUV, the probability that it is black is </em><em>0.25</em><em>.</em>
The probability that a customer purchases a black SUV can be calculated as the multiplication of this 2 factors:
- The probability of a customer purchasing a SUV: P(SUV).
- The probability that it is black, given that he or she purchases a SUV (conditional probabilty): P(B|SUV)
We know then:
We can now calculate the probability as: