A person must pay $5 to play a certain game at the casino. Each player has a probability of 0.12 of winning $16, for a net gain of $11 (the net gain is the amount won 16 minus the cost of playing 5). Each player has a probability of 0.88 of losing the game, for a net loss of $5 (the net loss is simply the cost of playing since nothing else is lost). What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places. Expected Value = $

Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of coming 2nd and a probability of ¼ in coming 3rd. First place pays $5,000 to the winner, second place $4,000 and third place $1,350. Hence, is it worth entering the race if it costs $1050?