1. The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car (in years) and its make (foreign or domestic). A car was randomly selected from the lot. Round all answers to three decimal places. Make 02 35 610 Over 10 Total Foreign 42 22 15 21 100 Domestic 41 20 13 26 100 Total 83 42 28 47 200 (a) What is the probability that it was older than 2 years? (b) What is the probability it was foreign? (c) What is the probability that it is domestic and over 10 years? (d) What is the probability that it is less than 2 years old or foreign? (e) Given that the car selected was a domestic car, what is the probability that it was older then 2 years? (f) Given that the car selected is older than two years old, find the probability that it is not a foreign car?

2) The following data represents the number of swings a baseball player swung at pitches in sets of four. Round all answers to four decimal places. (times swung) 0 1 2 3 4 Frequency 2 7 22 27 42 (a) Construct a discrete probability distribution for the random variable, : (times swung) () 0 1 2 3 4 (b) Compute the mean of the random variable, . (c) Compute the standard deviation of the random variable, . Round to four decimal places.