Exam 9: Binomial Distribution

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One can appropriately apply the binomial distribution if P = 0.5 and Q = 0.3 in a problem.

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What is the probability of tossing 8 unbiased coins once and obtaining at least 5 heads?

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To use the normal approximation, it is required that either NP ?5= 10 or NQ ?5= 10, but not both.

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In order to use the binomial distribution, which of the following conditions are necessary?

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In order to correctly apply the binomial distribution, one of the conditions that must be met is that there are only two possible outcomes on each trial.

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The binomial distribution requires that the P and Q do not change from trial-to-trial.

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To apply the binomial distribution properly ( P + Q ) must equal 1.00.

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A true-false test of 20 questions is given to 10,000 students. If all the students guess on each question, how many students would you expect to get 17 or more questions correct?

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In the binomial expansion of ( P + Q ) 10 , the last term of the expansion will be _________.

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The binomial distribution is always symmetrical.

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Define binomial distribution.

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The binomial distribution requires that P and Q stay the same from trial-to-trial.

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If one flips 5 unbiased coins once, what is the probability of getting exactly 3 heads?

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Define number of P events.

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A tea manufacturer believes his company's tea (Tea A) has a very distinctive taste. He conducts a study to evaluate his believe. Five employees are asked to taste Tea A and two other tea's once, in random order and to try to identify which tea was Tea A. All five employees correctly identify Tea A. These results are encouraging. More quantitatively, according to the binomial distribution, if chance alone is at work, what is the probability of getting this outcome? If the tea manufacturer conducted another study similar to this one, give three things the manufacturer could do to alter the study so that if Tea A is really responsible for the result, rather than chance alone, he could have more confidence in the outcome. Assume good experimental design was followed in the original experiment.

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Develop the binomial distribution for the experiment of tossing 3 unbiased coins once. Use the following table to help you set up the problem. Develop the binomial distribution for the experiment of tossing 3 unbiased coins once. Use the following table to help you set up the problem.

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The probability of getting a result as extreme or more extreme than 5 heads out of a toss of 7 unbiased coins is 0.4532.

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Consider the binomial expansion for 6 events: P 6 + 6 P 5 Q + 15 P 4 Q 2 + 20 P 3 Q 3 + 15 P 2 Q 4 + 6 PQ 5 + Q 6 What term would you use in evaluating the probability of obtaining exactly 2 heads as the result of flipping an unbiased coin 6 times?

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If the conditions for the binomial distribution are met, P + Q must equal 1. Is this true? Why?

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For the binomial distribution to be applicable to a situation,

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