Exam 6: Probability

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A true/false test has 100 questions.Using the normal approximation to the binomial distribution, what is the probability of getting 55 or more correct by just guessing?

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A vertical line is drawn through a normal distribution dividing the distribution into two parts.If the smaller part equals 0.1915 of the distribution, then the line was drawn at z = 0.50 or at z = -0.50.

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What proportion of a normal distribution is located between z = -1.50 and z = +1.50?

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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 between X = 80 and X = 120 is p = 0.3413.

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For a normal distribution, the z-score boundary that separates the lowest 2.5% of the scores from the rest is z = -1.96.

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What proportion of a normal distribution is located between z = -0.25 and z = +0.25?

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What proportion of a normal distribution is located in the tail beyond z = 2.00?

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A normal distribution has a mean of µ = 80 with σ = 20.What score separates the highest 40% of the distribution from the rest of the scores?

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For any normal distribution, the proportion located between the mean and z = 1.40 is 0.9192.

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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 = 70 is p = 0.0013.

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What proportion of a normal distribution is located in the tail beyond z = -1.00?

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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 between X = 90 and X = 100 is p = 0.3085.

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A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 80 and X = 100?

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For any normal distribution, exactly 97.50% of the z-score values are less than z = 1.96.

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A vertical line drawn through a normal distribution at z = 1.25 will separate the distribution into two sections.The proportion in the smaller section is 0.1056.

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A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 120?

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A normal distribution has a mean of µ = 24 with σ = 3.What is the minimum score needed to be in the top 14% of the distribution?

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For the normal approximation to the binomial distribution with n = 100 and p = ½ , a score of X = 60 corresponds to a z-score of z = 2.00.

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A normal distribution has a mean of µ = 80 with σ = 20.What score separates the lowest 30% of the distribution from the rest of the scores?

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A true/false test has 100 questions.Using the normal approximation to the binomial distribution, what is the probability of getting more than 55 correct by just guessing?

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