1) In a recent production of automobiles, 10% are found to have a minor engine defect. A rental car company purchases 20 of these vehicles. What is the probability that exactly 3 of the 20 purchased vehicles are defective? a. 0.0010 b. 0.1330 C. 0.8670 d. 01901 2) Mars corporation (the manufacturer of Skittles candy) states that 20% of all Skittles candy produced are lime-flavored. Suppose we randomly draw 30 Skittles from a bag. What is the probability that fewer than five are lime-flavoured? a. 0.383 b. 0.428 c. 0.572 d. 0.617 3) Droperidol is a sedative/tranquilizer also used for its anti-nausea properties. Assume the amount of droperidol required to sedate an agitated patient is found to be normally distributed with a mean of 10 mg and a standard deviation of 2.75 mg via intramuscular injection. A manufacturer produces sterile needles prepared with 7.5 mg of droperidol. What is the probability that a randomly selected agitated patient is not sedated by a single needle? Report your answer in decimal form with four (4) figures after the period.________ 4) What is the probability a randomly selected patient would be sedated by at least one, but no more than two, needles? Report your answer in decimal form with four(4) figures after the period._____ 5) A pharmaceutical manufacturer wants to make a prepared droperidol needle at a dose that will sedate 97.5% of agitated patients. How many mg of droperidol should they set their dose at? Report your answer without units with two (2) digits after the decimal.______ 6) The cycle times for an electroplating machine are believed to be normally distributed. Twenty-one plating operations are randomly sampled for time to cycle. The sample average cycle time is 10.21 minutes with a standard deviation of 0.59 minutes. Construct a 95% confidence interval on the mean cycle time for this machine. a. (9.958, 10.462) b. (8.979, 11.441) C. [9.941, 10.479) d. (9.911, 10.509)