A pilot is flying a CRJ-900 from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off or land if the temperature on the field is not within its operating limitations. The aircraft cannot operate if the temperature is at or below -40° F. or at or above 118° F.
Part A: Write an inequality to represent the temperatures the pilot can take off and land in. (2 points)
Part B: Describe the graph of the inequality completely from Part A Use terms such as open/closed circles and shading directions. Explain what the solutions to the
inequality represent. (4 points)
Part C: In June 1990, the temperature in Phoenix, Arizona rose to 122° F. Could the pilot have taken off on this day? Why or why not? (4 points)

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?