Reference no: EM1378548
Question 1 A carton of 12 rechargeable batteries contains two batteries that are defective.
(a) In how many ways can an inspector choose three (3) of the batteries?
(b) In how many ways can an inspector choose three (3) of the batteries and get none of the defective batteries?
(c) In how many ways can an inspector choose three (3) of the batteries and get one of the defective batteries?
(d) In how many ways can an inspector choose three (3) of the batteries and get both of the defective batteries?
Question2 A software engineer wants to move across the country from Vancouver to Montréal to work. On different days, she mails a cover letter and resume to three different companies in Montréal. Suppose a letter sent from Vancouver to Montréal has a probability of 0.75 of reaching Montréal within three (3) days.
(a) What is the probability that exactly two (2) of the three (3) letters will reach Montréal within three (3) days?
(b) What is the probability that at least one (1) of the three (3) letters will reach Montréal within three (3) days?
(c) If the three (3) letters are mailed together at the same time and location, how does your conclusion in part (a) change?
Question 3 Two software consulting firms V and W consider bidding on a large programming project, which may or may not be awarded depending on the amounts of the bids. Firm V submits a bid and the probability is 3/4 that it will get the project provided that firm W does not bid. The probability is 3/4 that W will bid, and if it does, the probability that V will get the project is 1/3.
(a) What is the probability that V will get the project?
(b) If V gets the project, what is the probability that W did not bid?
Question 4 Two balls, each equally likely to be coloured either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its colour is noted, and it is then returned to the urn. If the first two balls chosen are coloured red, what is the probability that
(a) both balls in the urn are coloured red;
(b) the next ball chosen will be red?
Question 5 Suppose that 5 independent trials, each of which results in any of the outcomes 0, 1, or 2, with respective probabilities 0.3, 0.5, and 0.2, are performed. Find the probability that both outcome 1 and outcome 2 occur at least once. (Hint: Consider the complementary probability.)
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Finance the capital requirements of the enterprise
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Illustrate would you do for at-risk teens if you had staff
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Explain how did fundamental difference
: it is not absolute it can change, and it indeed does change according to Nietzsche b. Slave Morality Explain how did fundamental difference between good and evil come about if it was originally between good and bad.
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Developing a plan for charleston facility
: Suppose your 1st review indicates that the distributors are accumulating copiers at their locations until they physically run out of room then ship the entire quantity.
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Probability and statistics for computer science
: Probability and Statistics for Computer Science - What is the probability that V will get the project and if V gets the project, what is the probability that W did not bid
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Explain why have children been analytically invisible
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Determine a minimum cost production schedule
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Is this a nuclear american family
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Establishing a just sense of engagement based on shared
: Having a clearer sense of value gained from his fieldwork in relation to rewards returned to informants, is likely to be at an advantage in such discussions. Were informant.
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