a. It's estimated that the time it takes at a stoplight is normally distributed with an average of 2 minutes and a standard deviation of 30 seconds. Knowing this, how likely is it that it takes a total of 86 or more minutes for 40 stoplights? You may assume the stoplights are independent. Be sure to show work.

b. Draw a picture that shows the relationship between the sample data, the null hypothesis, and the p-value.

c.

80% of vehicles in Washington are automatics, 25% of vehicles have leather seats, and 95% of vehicles are either automatics WA have leather seats. Calculate the probability that a randomly selected vehicle has leather seats if we know it is an automatic.