Of the automobiles produced at a particular plant, 40% had a certain defect. a. What is the probability that more than 50 cars will need to be inspected before one with the defect is found? b. What is the probability that the twentieth car inspected will have a defect? c. Suppose a company purchases five of these cars. What is the probability that exactly one of the five cars has a defect?

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.