Exam 5: Probability, Normal Distributions, and Z Scores

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Probability ranges between 0 and 1 and is never negative.

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A distribution of probabilities for random outcomes of a bivariate or dichotomous random variable is called a

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If an outcome has a 1 in 100 chance of occurrence,then the probability of that outcome is p = .10.

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Bayes' theorem is often applied to a variety of conditional probability situations,including those related to statistical inference.

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A binomial probability distribution is constructed for random variables that have at least two possible outcomes.

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Probability distributions follow the same rules as probability: They are never negative and vary between - ∞ and + Probability distributions follow the same rules as probability: They are never negative and vary between - ∞ and +   . .

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Mathematical expectation can be used to estimate the expected value of variance and standard deviation.

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The mean of a binomial distribution is the product of the number of trials (n)times the probability of the outcome of interest on an individual trial (p).

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Which of the following probability distributions is accurate?

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The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a

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The probability distribution is p = .24,.16,.40,and .20 for a random variable with outcomes equal to 0,1,2,or 3,respectively.In this example,the expected value of the mean is greater than two.

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Bayes' theorem is most often applied to situations in which probability is not calculated.

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The probability that a participant is married is p(M)= .60.The probability that a participant is married and "in love" is p(M \cap L)= .46.Thus,the probability that a participant is in love,given that the participant is married is p = .77.

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A researcher states that the probability of getting into an accident on a busy road is .09.Hence,the probability of getting into an accident twice on a busy road is .18.

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The probability of an outcome is particularly useful for predicting the likelihood of fixed events.

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A researcher finds that 20 of 120 students failed an exam.In this case,the probability of failing this exam was

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Which of the following is a mathematical formula that relates the conditional and marginal (unconditional)probabilities of two conditional outcomes that occur at random?

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Below is the probability distribution for random variable x.What is the probability of at least a score of 2 in this distribution? Below is the probability distribution for random variable x.What is the probability of at least a score of 2 in this distribution?

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A probability can be stated as a proportion.

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Suppose you open a new game at the county fair.When patrons win,you pay them $3.00;when patrons lose,they pay you $1.00.If the probability of a patron winning is p = .20,then how much can you expect to win (or lose)in the long run? Hint: You need to compute the expected value of the mean.

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