2. What happens to a set of data following a normal distribution when the mean is increased? A. It shifts to the left B. It shifts to the right

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1 Discrete Math Exam Review Name:. What happens to a set of data following a normal distribution when the standard deviation is increased? It shifts to the left It shifts to the right It produces a wider range of probable values It produces a more narrow range of probable values. What happens to a set of data following a normal distribution when the mean is increased? It shifts to the left It shifts to the right It produces a wider range of probable values It produces a more narrow range of probable values. A set of data has a mean of and a standard deviation of. What is the z-score of x? z. z. z. z. What is the area under the normal distribution function between z. and z.? Z Area A video game designer is evaluating a new release and issues a pre-release version to a set of testers. The testers spend an average of minutes to complete the first level, with a standard deviation of. minutes. Assuming a normal distribution for the data, % of players should complete the first level in less than how many minutes? Z Area minutes minutes. minutes minutes. Which of the following data could be represented by a continuous random variable? The outcome from flipping three coins. The outcome from rolling two number cubes. The finishing times of twenty marathon runners. The number of blue cars in a parking lot.

2 . Which of the following data could be represented by a discrete random variable? The heights of twenty players on a basketball team. The outcome from rolling a number cube. The time it takes for a bank teller to wait on a customer. The temperature in a neighborhood park.. The following table shows the possible values for a random variable, and the corresponding probabilities that the variable will take on each particular value. What is the expected value of the random variable? X P(x).... The following table shows the possible values for a random variable, and the corresponding probabilities that the variable will take on each particular value. What is the expected value of the random variable? X P(x) A jar contains black and green marbles. Two marbles are drawn from the jar. If X equals the number of black marbles drawn, which of the following tables shows the correct data? X P(x) X P(x) X P(x) X P(x). A jar contains red, white, and blue marbles. Two marbles are drawn. If X equals the number of red marbles drawn, which of the following tables shows the correct data? X P(x) X P(x) X P(x) X P(x)

3 . Which of the following data could be represented by a continuous random variable? The amount of sugar found in an orange selected at random from a crate. The number on which a spinner lands in a board game. The number of defective sets of headphones in a box of fifty. The number of people attending a screening of a new movie.. Which of the following data could be represented by a discrete random variable? The weights of players on a football team. The lengths of fish caught in a fishing tournament. The number of children in a family The amount of salt found in a can of tomato soup.. The following table shows the possible values for a random variable, and the corresponding probabilities that the variable will take on each particular value. What is the expected value of the random variable? X P(x) A jar contains yellow and green marbles. Two marbles are drawn. If X equals the number of green marbles drawn, what is the expected value of X?... Evaluate A + when A and. Evaluate A when A and

4 . Evaluate C when and C. Evaluate ( ) A C + when and C. Evaluate A when and C. Evaluate A when

5 . Evaluate A when. Evaluate A when. Evaluate A when [ ] [ ]. Evaluate A when. Evaluate A + when

6 . Evaluate X when X No solution. Find the dimensions of A No solution. Evaluate Y X when X and Y. Evaluate ( ) X Y + when X and Y. Evaluate A when A No solution

7 . Evaluate GH when [ ] G and H [ ] [ ]. Evaluate JK when J and K. Evaluate MN when M and N No solution. Evaluate A when A and No solution

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