From a group of 4 physicians and 6 surgeons, a delegation of 3 is selected. Find the expected number of physicians in the delegation. What is the expected number of physicians? (Round to two decimal places as needed.) A committee of 3 members is selected from a club made up of 19 junior members and 11 senior members. What is the expected number of juniors in the committee? The expected number of juniors in the committee is]. (Round to two decimal places as needed.) A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 8000 tickets are sold at 75 cents each, find the expected winnings for a person buying 1 ticket. What are the expected winnings? cents (Round your answer to the nearest whole cent.) One option in a roulette game is to bet $21 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $21 you paid to play the game and you are awarded $21. If the ball lands elsewhere, you are awarded nothing and the $21 that you bet is collected. Find the expected payback for this roulette game if you bet $21 on red. The expected payback is $ . (Round to the nearest cent as needed.) A raffle offers a first prize of $400 and 3 second prizes of $80 each. One ticket costs $2, and 400 tickets are sold. Find the expected payback for a person who buys 1 ticket. Is this a fair game? The expected payback for a person who buys 1 ticket is $]. (Round to two decimal places as needed.) A committee of 3 members is selected from a club made up of 6 junior members and 24 senior members. What is the expected number of juniors in the committee? Fill out the probability table below, where x represents the number of juniors in the committee. x 0 1 2 3 P(x) 10OO Type integers or simplified fractions.)