A car dealer believes that for a given customer the probability of making a sale is 0.42. Define the random variable:

X= {0 'Lfnosalcismadc 1 'Lfasalcismadc Answer the following. mundlng your answers to four decimal places unless stated otl'erwlse. {a} What is the mean of X? [b] What is the variance of X? Provide your answer to four decimal places. Suppose now that the car dealer has 6 customers and believes that. for each. the probability of making a sale is 0.42 and that customer's individual decision about buying Is Independent of other's choices. to} What is the probability that three sales are made? [cl] What is the expected number of sales