Exam 6: Probability

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A jar contains 10 red marbles and 30 blue marbles.What is the probability of randomly selecting a red marble from the jar?​

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

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

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

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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 less than 35 minutes?​

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

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A normal distribution has µ = 80 and σ = 10.What is the probability of randomly selecting a score greater than 90 from this distribution?​

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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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What proportion of a normal distribution is located between the mean and z = -0.40?​

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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 multiple-choice test with 48 questions has four choices for each question.What is the probability of getting more than 12 questions correct by just guessing?​

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

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A binomial distribution with p = 2/3 and n = 24 meets the criterion for using the normal approximation.

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A jar contains 10 red marbles and 20 blue marbles.If you take a random sample with replacement 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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For a normal distribution,proportions in the right-hand tail are positive and proportions in the left-hand tail are negative.

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What z-score value separates the top 10% of a normal distribution from the bottom 90%?​

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

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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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