Exam 6: Probability

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What is the probability of randomly selecting a z-score greater than z = 0.75 from a normal distribution?​

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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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John drives to work each morning and the trip takes an average of µ = 38 minutes.The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes.For a randomly selected morning,what is the probability that John's drive to work will take between 36 and 40 minutes?​

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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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For a normal distribution with µ = 200 and σ = 50,find the following values: a. What X value separates the highest 10% of the distribution from the rest of the scores? b. What X values form the boundaries for the middle 60% of the distribution? c. What is the probability of randomly selecting a score greater than X = 325?

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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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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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A vertical line drawn through a normal distribution at z = -0.75 will separate the distribution into two sections.The proportion in the smaller section is 0.2734.

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A normal distribution has a mean of µ = 80 with σ = 20.What score separates the highest 15% of the distribution from the rest of the scores?​

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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 = 110?​

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

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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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For the normal approximation to the binomial distribution with n = 100 and p = 1/5,the probability of selecting a score greater than or equal to 25 is p = 0.1056.

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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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The binomial distribution for p = 1/2 and n = 100 has a standard deviation of σ = 25.

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

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

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