An insurance company uses a random variable X to model the cost of an accident incurred by a female driver who is 20 to 30 years old. A second random variable Y models the cost of an accident by a male driver in the same range of ages Both random variables are measured in dollars. Mark the following statement as true or false. If you believe that the statement is false, briey say why you think it is false. If the mean of X is $3,300, then the variance of X must be larger than $3,300. Choose the correct answer below. 0 A. The statement is true. 0 B. The statement is false because variance measures the average squared deviation from the mean and is not necessarily smaller than or larger than the mean. 0 c. The statement is false because the variance of X must be smaller than $3,300. 0 D. The statement is false because variance measures the average deviation from the mean and is not necessarily smaller than or larger than the mean. In a common type of lottery, a customer buys a ticket with a three-digit number from 000 to 999. A machine (such as one with bouncing balls numbered 0 to 9) then selects a number in this range at random. Each ticket bought by a customer costs $2, whether the customer wins or loses. Customers with winning tickets are paid $900 for each winning ticket. Complete parts (a) through (c) below. (a) Construct a probability distribution of the random variable X that denotes the net amount won by a customer. (Notice that each customer pays $2 regardless of whether he or she wins or loses.) X p(X) V - 2 o In a common type of lottery, a customer buys a ticket with a three