A mass production line manufactures products of which 10% are faulty. A quality assurance (QA) expert samples products from the production line until he finds a defective product. a. What is the variable under study? (1.5) b. What is the probability that the QA expert sampled at least two products until he got the first defective product? (3) c. Find out the average number of sampled products to get the first defective product. (1.5) d. Also find out the standard deviation of the sampled products to get the first defective product. (1.5)

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.