3 dice, one with 4 sides, 5 sides, and 6 sides. Each dice is fair and has faces (1, 2, ... n) where n is the number of sides. Tim proceeds as follows: he rolls each die one at a time (starting with the four sided, then five, then six). However, if Tim ever rolls more than a three he stops rolling the dice. Let X be the sum of all the dice Tim rolled. 1. Compute E[X]. 2. Compute P(A). Where A represents the event that Tim rolled a five with one of the die.

The vector matrix [2/7] is dilated by a favor of 1.5 and then reflected across the x axis. if the resulting matrix is [a/b] then a= and b=

On saturday morning, calls arrive at ticketmaster at a rate of 108 calls per hour. what is the probability of fewer than three calls in a randomly chosen minute?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: