In: Statistics and Probability
The BDW car dealership sells one sports model, the FX500. Of the customers who buy this model, 40% choose red as the colour, 35% choose white, and 25% choose black. Assume choice of colour is made independently by different customers.
a) Calculate the probability that among the next 10 customers who buy an FX500, the first 6 will choose red cars and the next 4 will not choose red cars.
b) Calculate the probability that exactly one of the next 10 customers who buy an FX500 will choose a black car.