securitygeek

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pach2212, can you please explain how you go these answers? Thanks!

1. A four-person jury is to be randomly selected from a pool of 30 equally qualified candidates of which 10 are female. After the first jury is selected, a second four-person jury is to be randomly selected from the remaining 26 (=30-4) candidates. Two all-female juries are selected. The defense lawyer of the defendant in the second trial claims the two juries were not selected randomly. Could the two all-female juries have been selected randomly? If the two all-female juries could have been selected randomly, what is probability of this happening? 2. At the typical FG&MIsc store, 20% of the customers buy gasoline and 70% of the customers buy food. Of the customers buying gasoline, it has been found that 60% of them purchase food. a) Find the probability that a typical customer buys both gasoline and food. b) Find the probability that a food-buying customer purchases gasoline.

1. An oil company has identified 15 promising sites for striking oil in a remote region of the world. The company has only one drilling rig in the region and time to drill only 5 wells before -30 degree and lower temperatures set in for winter (and all drilling must stopped until May). How many different ways can 5 drilling sites be chosen from the 15 candidates when the first site chosen will be drilled first, second chosen drilled second, ----? 2. A shipment of 80 parts is received by a company. The company will randomly select 10 parts from the 80. After the sample of 10 is taken, the firm will inspect entire sample to see how many defective parts it contains. If there is more than one defective part in the sample, the firm will return the entire shipment to the supplier; otherwise the shipment will be kept and used. In terms of the way this firm functions, how many different samples of 10 can be selected from a shipment of 80 parts?

800Bob, This makes sense and I am sure they won't have such difficult problems, but it is always good to be a step ahead :-) Thank you!

The provost of a state university is applying for a chancellor position. At a certain point in her application process, she is under consideration at seven universities. At three of the seven she is a finalist, which means that she is in the final group of three applicants, one of which will be chosen for the position. At two of the seven universities she is a semifinalist, that is, one of six candidates (in each of the two universities). In two universities she is at an early stage of her application and believes there is a pool of about 20 candidates for each of the two posi­tions. Assuming that there is no exchange of information or influence, across universities as to their hiring decisions and that the chancellor is as likely to be chosen as any other appli­cant, what is the provost’s probability of getting at least one job offer?

The provost of a state university is applying for a chancellor position. At a certain point in her application process, she is under consideration at seven universities. At three of the seven she is a finalist, which means that she is in the final group of three applicants, one of which will be chosen for the position. At two of the seven universities she is a semifinalist, that is, one of six candidates (in each of the two universities). In two universities she is at an early stage of her application and believes there is a pool of about 20 candidates for each of the two posi­tions. Assuming that there is no exchange of information or influence, across universities as to their hiring decisions and that the chancellor is as likely to be chosen as any other appli­cant, what is the provost’s probability of getting at least one job offer?

1. A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.98. When an emergency situation does not exist, the alarm system sounds with probability 0.01. A real emergency situation is a rare event occurring with probability 0.002. Given that the alarm has just sounded, what is the probability that a real emergency situation exists I am getting an answer of .00196 Can some pls confirm? Thanks!

Seems correct. Thank you.

I am not sure what the answer is. Can you please explain your approach? Thanks!

A drug manufacturer believes that there is a 0.90 chance that the FDA will approve a new drug the company wants to distribute if the results of current testing show that the drug does not cause side effects. The manufacturer believes there is a 0.40 probability that the FDA will approve the drug if the test shows that the drug does cause side effects. A physician working for the drug manufacturer believes there is a 0.20 probability that tests will show that the drug causes side effects. Calculate the probability that the drug receives approval by the FDA?

Seems correct. Thanks!

I am not sure abt the answers. Can you pls explain how you got them? Thanks!

Suppose it is known that 88% of the people who inquiry about investment opportunities at a brokerage house end up purchasing stock, and 35% end up purchasing bonds. It is also known that 28% of the people end up purchasing both stocks and bonds. a. What is the probability that a person purchase at least one of the firm’s two investment vehicles (stocks and/or bonds)? b. What is probability that a person purchases neither stocks nor bonds? c. What is probability that a person purchasing stock will also purchase bonds

Damn man...thats an amazing score. Congratulations! 51 in Verbal seems such a long shot for me. Anyway, good luck with your applications. This is truly a well deserved score.:tup: