Exam 6: Probability

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For a normal distribution, the proportion in the tail beyond z = -2.00 is equal to 0.0228.

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A normal distribution has a mean of µ = 70 with σ = 12.If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 79?

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A vertical line drawn through a normal distribution at z = -0.80 will separate the distribution into two sections.The proportion in the larger section is 7881.

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A binomial distribution with p = 2/3 and n = 24, meets the criterion for using the normal approximation. 65 The binomial distribution for p = ¼ and n = 96 has a mean of μ = 24.

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A normal distribution has a mean of µ = 70 with σ = 12.If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 55?

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What proportion of a normal distribution is located between the mean and z = 1.40?

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A vertical line is drawn through a normal distribution at z = 1.20.What proportion of the distribution is on the left-hand side of the line?

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A normal distribution has a mean of µ = 40 with σ = 10.What proportion of the scores in this distribution are greater than X = 55?

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For a binomial distribution with p = q = ½ and n = 36, what is the mean for the normal approximation?

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A jar contains 10 red marbles and 20 blue marbles.If you take a random sample of two marbles from this jar and the first marble is blue, then the probability that the second marble is blue is p = 19/29.

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If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score less than X = 95 is p = 0.4013.

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For a normal distribution, the proportion located between z = -1.00 and z = +1.00 is p = 34.13%

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What z-score value separates the top 70% of a normal distribution from the bottom 30%?

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For a population with a mean of μ = 80 and σ = 10, only 2.28% of the scores are greater than X = 100.

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A normal distribution has a mean of µ = 40 with σ = 10.What proportion of the scores in this distribution are smaller than X = 35?

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All probabilities can be expressed as decimal values ranging from 0 to 1.00.

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For a binomial distribution, the probability of obtaining a score greater than 19 is computed as p(X > 19.5).

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Scores on the SAT form a normal distribution with a mean of µ = 500 with σ = 100.If the state college only accepts students who score in the top 60% on the SAT, what is the minimum score needed to be accepted?

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Under what circumstances does the binomial distribution approximate a normal distribution?

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For a normal distribution with µ = 80 and σ = 10 the score that separates the bottom 10% of the distribution from the rest is 67.2

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