Mario and bowser begin with a hat that has 5 balls in it: 3 are red, 2 are green. bowser secretly picks a ball and tells mario it is red, although he might be lying about the color. if there is an 80% chance bowser is lying, what is the probability that mario draws 2 red balls in a row after bowser's initial draw?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.