A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had 1.15 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car Complete parts (a) through (d) a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Select all the assumptions for a Poisson distribution. A. At least 30 model A cars are sold. OB. The probability of a problem in a time period approaches zero as the length of the time period becomes smaller. O) C. The number of problems in a given period is independent of the number of problems in any other period OD. The probability of a problem is the same for each period of time