The star quarterback of a university football team has decided to return for one more season. He tells one person, who in turn tells someone else, and so on, with each person talking to someone who has not heard the news. At each step in this chain, if the message heard is "yes" (he is returning) then there is a 5% chance it will be changed to "no," and if the message heard is "no," then there is a 15% chance that it will be changed to "yes." Determine the probability that the fourth person in the chain hears the correct news. (A graphing calculator is recommended. Assume that the quarterback is not part of the chain. Round your answer to one decimal place.)

The star quarterback of a university football team has decided to return for one more season. He tells one person, who in turn tells someone else, and so on, with each person talking to someone who has not heard the news. At each step in this chain, if the message heard is "yes" (he is returning) then there is a 5% chance it will be changed to "no," and if the message heard is "no," then there is a 15% chance that it will be changed to "yes." Determine the probability that the fourth person in the chain hears the correct news. (A graphing calculator is recommended. Assume that the quarterback is not part of the chain. Round your answer to one decimal place.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Question 11
You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent.
Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent.
A museum wonders whether it should enter an insurance contract to prevent loss from thief. Of course, not entering any contract is also an option. The total worth of the museum pieces is estimated to be around $20,000. From statistics, around 3% chance the museum will be visited by thief in the coming year. In case the museum is broken, 60% chance the losses would be 10% of the total worth, while 40% chance the losses would be 30% of the total worth. Company A's policy costs $140 a year but guarantees to refund all losses due to theft. Company B's policy is only S100 a year, but the museum has to pay the first S60 of any loss themselves. Assume that there will be at most one theft a year. Draw the decision tree to minimize expected loss and decide what to do. Show your calculations.
Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?
June is a student taking a statistics course. Unfortunately, June is not a diligent student. She does not read the textbook before or after class, does not do homework, and regularly misses class. She intends to rely on luck to pass the next quiz. The quiz consists of 10 multiple-choice question. Each question has five possible answers. Only one of the answers is correct, so the probability of choosing the correct answer is 0.20. June plans to guess the answer to each question independently. Let � be the number of correct answers on June’s quiz. What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These
Suppose an oil company is thinking of buying some land for $950,000. There is a 60% chance of economic growth and a 40% chance of recession. The probability of discovering oil is 46% when there is economic growth and 34% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%. If they do not discover oil, the land will decrease in value by 75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations.
In a three subject class setting, there is a 60% chance that the students willpass only two subjects, and 20% of the students will pass only one subject.Determine the probability of the students passing all three subjects.
During a basketball game, Sebastián is shooting two free throws. He makes 95% of his free throws. Assuming that his free throws are independent events, find the percent chance that he... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of his free throws. What is the sum of these four answers? % % % do %
You pay $20 to enter a raffle. The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49. Suppose 2345 tickets were sold. What is the expected earning on your ticket?
Friskie is having her fifth litter. The prior litters have either been three normal pups or two normal pups and a runt. Assume the probability of either outcome is 50%.