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Tiger Funds Ltd. operates a number of mutual funds in high technology and in financial sectors. Hussein Roberts is a fund manager who runs a major fund that includes a wide variety of technology stocks. As fund manager he decides which stocks should be purchased for the mutual fund. The compensation plan for fund managers includes a first-year bonus for each stock purchased by the manager that gains more than 10% in the first six months it is held. Of those stocks that the company holds, 40% are up in value after being held for two years. In reviewing the performance of Mr. Roberts, they found that he received a first-year bonus for 60% of the stocks that he purchased that were up after two years. He also received a first-year bonus for 40% of the stocks he purchased that were not up after two years. What is the probability that a stock will be up after two years given that Mr. Roberts received a first-year bonus?

          Tiger Funds Ltd. operates a number of mutual funds  in high technology and in financial sectors. Hussein Roberts is a fund manager who runs a major fund that includes a wide variety of technology stocks. As fund manager he decides which stocks should be purchased for the mutual fund. The compensation plan for fund managers includes a first-year bonus for each stock purchased by the manager that gains more than 10% in the first six months it is held. Of those stocks that the company holds, 40% are up in value after being held for two years. In reviewing the performance of Mr. Roberts, they found that he received a first-year bonus for 60% of the stocks that he purchased that were up after two years. He also received a first-year bonus for 40% of the stocks he purchased that were not up after two years.
What is the probability that a stock will be up after two years given that Mr. Roberts received a first-year bonus?
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Tiger Funds Ltd. operates a number of mutual funds in high technology and in financial sectors. Hussein Roberts is a fund manager who runs a major fund that includes a wide variety of technology stocks. As fund manager he decides which stocks should be purchased for the mutual fund. The compensation plan for fund managers includes a first-year bonus for each stock purchased by the manager that gains more than 10% in the first six months it is held. Of those stocks that the company holds, 40% are up in value after being held for two years. In reviewing the performance of Mr. Roberts, they found that he received a first-year bonus for 60% of the stocks that he purchased that were up after two years. He also received a first-year bonus for 40% of the stocks he purchased that were not up after two years. What is the probability that a stock will be up after two years given that Mr. Roberts received a first-year bonus?
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Transcript

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00:01 For the given question, part a, we need to state the variable and then individual.
00:17 After that, we have to state the population.
00:22 Then population size, population size.
00:30 And after that, number of days, number of days when at least 12 students used the website.
00:49 Used the website.
00:55 So let's see the solution for the first part of the question.
00:58 The variable is number of days.
01:06 Individual will be the frequency of students on the particular day.
01:17 Population will be the student for what we are serving the data and population size given into the question is 30 and number of days when the at at least 12 students use the website is equal to 6 minus 11, which is equal to 6 minus 11.
01:38 So now this is the solution for part a of the question.
01:45 The goal value which are asked with the first part of the question is here all the part of answers.
01:53 So now let's see the part b for the question.
01:56 So now we will find our population mean, population mean.
02:05 So a formula for population mean is sum of all observation divided by number of observation.
02:10 So 8 plus 12 plus 4 plus 2, some of all observations are here.
02:17 And total observations are 5, so divided by 5.
02:20 So this will be as 30 divided by 5 which is equal to 6.
02:23 So our population mean, population mean is equal to six...
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