in a game, you toss a fair coin and a fair six-sided die. if you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. otherwise, you lose $6. what is the expected profit of one round of this game?

Acharity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. if 5 winners are randomly selected, what is the probability that they are all men? round to five decimal places. 0.00533 0.06268 0.09537 0.07776

Strawberries cause two hours per pound kate buys 5 pounds he gets 20% off discount on the total cost how much does kate pay for the strawberries

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.