5. Betty has been investigating public opinions regarding electoral reform. (a) Group A is a small...
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5. Betty has been investigating public opinions regarding electoral reform. (a) Group A is a small group of 9 people. Betty knows that 4 are in favour of changing the type of voting system and 5 want to leave the voting system unchanged. If Betty were to select 5 different members of Group A at random, what is the probability that the majority of those selected would want to change the type of voting system? = (b) Group B is a very large group. The probability of an individual drawn at random wanting to leave the voting system unchanged is p 0.6. If Betty selects 5 members of Group B at random, what is the probability that a majority would want to change the type of voting system? (c) If Barry begins to ask randomly selected members of Group B whether they favour changing the type of voting system, what is the probability that the 3rd response in favour of changing the voting system would occur with the 5th individual questioned? (d) For Group B, suppose that for an individual drawn at random, p 0.6 is the probability the individual wants to leave the voting system unchanged, q = 0.3 is the probability the individual wants to change the voting system and there is a probability 1-p-q=.1 that the individual is undecided. When 5 members of group B are selected at random, what is the probability that the number of individuals that want to change the voting system is positive and equal to the number that want to leave the voting system unchanged? 5. Betty has been investigating public opinions regarding electoral reform. (a) Group A is a small group of 9 people. Betty knows that 4 are in favour of changing the type of voting system and 5 want to leave the voting system unchanged. If Betty were to select 5 different members of Group A at random, what is the probability that the majority of those selected would want to change the type of voting system? = (b) Group B is a very large group. The probability of an individual drawn at random wanting to leave the voting system unchanged is p 0.6. If Betty selects 5 members of Group B at random, what is the probability that a majority would want to change the type of voting system? (c) If Barry begins to ask randomly selected members of Group B whether they favour changing the type of voting system, what is the probability that the 3rd response in favour of changing the voting system would occur with the 5th individual questioned? (d) For Group B, suppose that for an individual drawn at random, p 0.6 is the probability the individual wants to leave the voting system unchanged, q = 0.3 is the probability the individual wants to change the voting system and there is a probability 1-p-q=.1 that the individual is undecided. When 5 members of group B are selected at random, what is the probability that the number of individuals that want to change the voting system is positive and equal to the number that want to leave the voting system unchanged?
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a In Group A there are 4 members who want to change the voting system and 5 who want to leave it unchanged To find the probability that the majority o... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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