14.The probability of a manufacturing defect in an aluminum beverage can is .00002. 100,000 cans are produced. Required: (a)Find the approximate probability of at least one defective can. Probability (b)Find the approximate probability of at least two defective cans. Probability The weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,500 pounds to 4,500 pounds. (Data are from Popular Science 254258 [selected issues]. Parameters are based on actual weights of 1997 through 2002 vehicles.) Determine the following for a randomly chosen vehicle: Descriptive Statistics Data Mean weight Standard deviation 1st Quartile 3rd Quartile What is the probability that a vehicle will weigh, Probability Less than 3,000 pounds More than 4,000 pounds Between 3,000 and 4,000 pounds 2.There is a 14 percent chance that a Noodles & Company customer will order bread with the meal. Required: Use Excel to find the probability that in a sample of 10 customers (a)more than five will order bread. P(X > 5) (b)no more than two will. P(X 2) (c)none of the 10 will order bread. P(X = 0) 13.The probability that an American CEO can transact business in a foreign language is .20. Ten American CEOs are chosen at random. (c)That all 10 can? Probability 14.The probability of a manufacturing defect in an aluminum beverage can is .00002. 100,000 cans are produced. Required: (a)Find the approximate probability of at least one defective can. Probability (b)Find the approximate probability of at least two defective cans. Probability 15.An auditor for a medical insurance company selects a random sample of prescription drug claims for evaluation of correct payment by company experts. The claims were selected at random from a database of 500,000 claims by using uniform random numbers between 1 and 500,000. To verify that the random numbers really were from a uniform distribution, the auditor calculated the mean and standard deviation of the random numbers. What should the mean and standard deviation be if these were uniformly distributed random integers? Mean? Standard deviation