Q1 Three cards are drawn in succession from a deck without replacement. Find the probability distribution for the number of spades. Q2 From a box containing 4 dimes and 2 nickels, 3 coins are selected at random without replacement. Find the probability distribution for the total T of the 3 coins. Express the probability distribution graphically as a probability histogram. Q3 The proportion of the budget for a certain type of industrial company that is allotted to environmental and pollution control is coming under scrutiny. A data collection project determines that the distribution of these proportions is given by f(y) = 5(1 -y) , oxys1, elsewhere. A) What is the probability that a company chosen at random expends less than 10% of its budget on environmental and pollution controls? B) What is the probability that a company selected at random spends more than 50% of its budget on environmental and pollution controls? Q4 The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function f (z) = 5 2(2+2), 0