1. You are given the following probabilities P(A) = 0.4, P(B) = 0.25 and you are told the two events are independent. (Hint: Independence is not the same as mutually exclusive (disjoint)).
Calculate P(A OR B) =
2. For a car travelling at 30 miles per hour, the mean stopping distance is 50 feet with a standard deviation is 8 feet, with the stopping distances being normally distributed. What is the probability that a person can stop the car in at most 30 feet, or at least in 70 feet? Let the random variable Y, denoted the distance it takes to stop the car in feet. Show your work using function notation as done in assignment 2, and the PowerPoint presentations. When answering probability questions, write each question in function notation as done in PowerPoints, homework answers, then equal sign, followed by the answer. Draw a graph as well.