The runner-up in a road race is given a reward that depends on the difference between his time and the winner’s time. He is given 10 dollars for being one minute behind, 6 dollars for being one to three minutes behind, 2 dollars for being 3 to 6 minutes behind, and nothing otherwise. Given that the difference between his time and the winner’s time is uniformly distributed between 0 and 12 minutes, find the mean and variance of the reward of the runnerup.

Most animals give birth during a general time of year. this is because animals naturally breed so that their young will be born at the time of year when there will be adequate food supply. the bar graph shows the number of live births of a jackrabbit native to california over the course of year x. based on the data, which of the following would be an appropriate conclusion? a) in general, rabbits give birth during the spring months b) in general, rabbits give birth during the summer months c) in general,m california jackrabbits give birth during the spring months d) in general, california jackrabbits give birth during the summer months

How many grams the dog will eat in 3 days?

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.