Among Towson students 70% own a car, 50% own a bike, and 40% own both,a. Draw a venn diagram to illustrate this,b. Find a probability that a randomly chosen student owns atleast one of the above vehicles,c. What is the probability that a randomly chosen student does not own a bike.,,2. A division has 12 employees, 8 males and 4 females,a. In how many ways can a committee of 6 members be selected from out of these 12?,b. Find the probability that a random committee contains all males?,c. Suppose that the committee should have one president which has to be a female and two ordinary members who must be males. How many different committees are possible?,,3. X is normally distributed with mean 12 and standard deviation 4.,a. Find the probability that x will be more than 10,b. find the probability that x will less than 13.5,c. Find the probability that x will be between 10 and 14.5,d. find a such that P(X