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1. In a completely dark room with ten chairs, six people come and occupy six chairs at random. What is the probability that at least one of three specific chairs gets occupied?
2. A group of six men and 12 women are partitioned into six committees of three people each. What is the probability that each committee contains a male member?
3. * (The General Shoes Problem). There are n pairs of shoes of n distinct colors in a closet and 2m are pulled out at random from the 2n shoes. What is the probability that there is at least one complete pair among the shoes pulled?
4. Find the probability that, after n rolls of a fair die, the sum of the rolls will be no less than 6n- 1.
5. * (Clever Counting). n balls from a total of N balls, labeled as 1; 2; ··· ;N , are taken out from an urn and the label of each written down. Find the probability that the labels form an increasing sequence.
Hint: See the text for a similar example.
in a poll of n 200 randomly selected individuals 60 people said they are opposed to the death penalty for persons
A jar contains black and white marbles. Two marbles are chosen without replacement. If the probability of selecting a black marble and a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47,
USA Today reported on preferred types of office communication by different age groups. Suppose the results were based on a survey of 500 respondents in each age group.
testing for population proportion -the personnel director of a large insurance company is interested in reducing the
State the decision for this test. Explain the reason for this decision using a comparison of the critical value to the computed test statistic,a comparison of the p-value to the 5% significance level, and the graph displayed above.
What is the probability of the person is 20 to 24 years old.What is the probability of the person is 20 to 34 years old.
it is known that 62 of households in a neighborhood have cable tv. a sample of 8 houses was selected at random.
What is the number of neurons n such that the probability of more than n neurons have higher firing rates for Condition 1is 0.99?
64% of the workers at Motor Works are female, while 66% of the workers at City Bank are female. If one of there companies is selected at random (assume a 50-50 chance for each), and then a worker is selected at random, what is the probability that..
Find the MAD based on the 2-year moving average. (Hint: You will have only 3 years of matched data.)c) Use a weighted 2-year moving average with weights of .4 and .6 to forecast next year's mileage. (The weight of .6 is for the most recent year.) Wha..
in the game of chuck-a-luck we throw three dice each with six sides numbered 1 through 6. players bet a dollar on a
What variables that affect blood pressure might confuse the comparison of average blood pressures for users and nonusers?
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