A garage sells three types of tires, type A, type B. and type C. A customer purchases type A with probability 0.23, type B with probability 0.48. and type C with probability 0.29.
a. What is the probability that the next 11 customers purchase four sets of type A, five sets of type B. and two sets of type C?
b. What is the probability that fewer than three sets of type A are sold to the next seven customers?