You are playing a game at a carnival. It costs nothing to play. You can win $5 with probability 0.15 on each round, but if you lose, you pay $2. (a) assume you have enough money to keep playing until you get bored, which happens after you play 20 rounds. Let Y be the number of times you win in 20 rounds. What is the distribution of Y ? (b) What is the expectation of the number of times you win in 20 rounds? What is the expectation of the amount of money that you have won (positive for net profit, negative for net loss), and what is the variance?

You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent

Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is  0.4 . A sample of  41  U.S. adults is chosen.    A new sample of  65  adults is drawn. Find the probability that more than  38%  of the people in this sample have high blood pressure. The probability that more than  38%  of the people in this sample have high blood pressure is

LO Time (Seconds) Percentage A survey asking mobile phone users how long they would wait for a page to load found the following results. Find the probabilities that a person would wait the following amounts. 3% 17% 20 18% (a) The probability that a person would wait no more than 10 seconds is (Type an integer or a decimal.) More (') Get mor

consultant has been hired to redesign a company's production facility. The consultant estimates the probabilities of her potential profit as shown in the table below. What is her profit expectation?$   Profit/Loss Probability $40,000 0.05 $30,000 0.30 $20,000 0.38 $10,000 0.20  $5,000 0.07

Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?

Solve the problem. The table below shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period. Find the probability that a person's total charges during the period are less than $400. Charges Under $100 Probability 0.48 $100-$399 0.33 $400-$999 0.14 $1000 or more 0.05 O 0.48 O 0.81 O 0.95 O 0.33 ASUS f5 E3 f6 f7 f8 f10 & 4. 5 6 7 8. 9- 61

A game at a local school fundraiser costs $5 to play and involves spinning an arrow which points at a single color. If it lands on green, you win youth concert tickets worth $20. Otherwise, you lose. The probability of the arrow landing on green is 10%. (a) What is the expected value of playing this game? (b) How much can the event organizers expect to raise if 500 people play this game?