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    Probability / Statistics: Problem #6

    A casino is offering a new game where 10 balls (numbered 1 to 10) are placed in a barrel and 3 numbered balls are taken out one at a time. To play the game a player must write 3 numbers in order on a card. If their numbers are drawn out of the barrel in the correct order the player will receive...
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    Probability / Statistics: Problem #5

    An IQ score is one way of measuring a person's intelligence, with an IQ score of 100 being considered as average for the general population. The distribution of IQ scores for the inmates of a certain prison is found to follow a normal distribution with a mean of 95 and a standard deviation of...
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    Probability / Statistics: Problem #4

    A class of 30 students has 16 boys and 14 girls. How many groups of 8 students can be formed where (a) the eldest boy is included in the group? (b) the eldest boy is excluded from the group? (c) the eldest boy is excluded if the eldest girl is included (i.e. they can't both be on the committee)...
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    Probability / Statistics: Problem #3

    Salt is packed in bags labelled 1kg. The weight of the bags is found to be normally distributed. The probability that a bag weighs less than 995 grams is 0.0214 and the probability that a bag weighs more than 1005 grams is 0.1450. (a) Calculate the mean weight and standard deviation of the salt...
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    Probability / Statistics: Problem #2

    During the year, Mark and John play a total of n games of golf. The probability that John wins any game is 0.3. No games are drawn. (a) If the probability that John wins no games is 0.0576 (correct to four decimal places), find the total number of games played. (b) How many games would need to...
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    Probability / Statistics: Problem #1

    A librarian is arranging some books on a straight shelf. She has 8 identical Mathematics books, 6 different Physics books, 10 different novels and 9 identical Accounting books. Where appropriate express your answer in scientific notation. (a) How many distinguishable ways can the books be...
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