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Prev UpNext Result correct correct correct incorrect correct correct Entered 0.017 0.124 Answer Preview 0.017 0.124 0.6.0.42 54 0.6 0.096 32.4 At least one of the answers above is NOT correct 1 of the questions remains unanswered (1 pt) 60% of the employees in a specialized department of a large software firm are computer science graduates. A project team is made up of 8 employees. Part a) What is the probability to 3 decimal digits that all the project team members are computer science graduates? 0.017 Part b) What is the probability to 3 decimal digits that exactly 3 of the project team members are computer science graduates? 0.124 Part c) What is the most likely number of computer science graduates among the 8 project team members? Your answer should be an integer. If there are two possible answers, please select the smaller of the two integers. 5 Part d) There are 57 such projects running at the same time and each project team consists of 8 employees as described. On how many of the 57 project teams do you expect there to be exactly 3 computer science graduates? Give your answer to 1 decimal place Part e) meet 50 employees at random. What is the probability that the third employee I meet is the first one who is a computer science graduate? Give your answer to 3 decimal places. 0.6"(0.4 2) Part f) meet 54 employees at random on a daily basis. What is the mean number of computer science graduates among the 54 that I meet? Give your answer to one decimal place. 54"0.6

Explanation / Answer

d) For one project,

P(X = 3) = binom.dist(3, 8, 0.60, False) = 0.1239

So,

For 57 such projects,

Expected number of projects have 3 science graduates = 57*0.1239 = 7.1

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