Christine has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case oneof them does not show up. From past experience, Christine knows that there is a 52% chance that Dave will not show up and a 42%chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent.a. What is the probability that both Dave and Mike will show up? (Round your answer to 2 decimal places.)Probabilityb. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)Probabilityc. What is the probability that neither Dave nor Mike will show up? (Round your answer to 2 decimal places.)Probability

Answered: Image /qna-images/answer/8a3986ea-e08b-4594-a7dc-a6388a53adf0.jpg

Answered: Christine has asked Dave and Mike to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?
A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Compute the…
Three people are running for president of the student council. The polls show James has odds in favour of winning at 2:3, Rebecca has odds in favour at 7:13, and Henry has odds in favour at 1:3. Suppose that Henry withdraws and offers his support to Rebecca. Further, suppose that his supporters also switch to Rebecca. What is the probability of Rebecca winning now?
A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Obtain the…
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Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
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