NOTE: no need for explanation, just answer each number with correct letter. 8. The following are properties of variance EXCEPTA. The variance is always positive.B. The variance is always negative.CA small variance means that the distribution of the random variable is narrowly concentrated around themean.D. A large variance means that the distribution is spread out, with some chance of observing values at somedistance from the mean.For numbers 9-12, refer to the probability distribution of the number of books borrowed from a school library in a dayand its corresponding probabilities.4530354020250.40.20.10.1P(x)0.10.19. What is the mean of the probability distribution?A. 25C. 30D. 32В. 2910. How would you interpret the mean value that you get from the previous number?A. It is the least number of booksowed from the school library in a day.B. It is the largest number of books borrowed from the school library in a day.C. It is the average number of books borrowed from the school library in a day.D. It is the difference between the largest and the least number of books borrowed from the school library ina day.11. What is the variance of the probability distribution?A. 38B. 40C. 43D. 4612. What is the standard deviation of the probability distribution?A. 6.16B. 6.32C. 6.56D. 6.7813. The following are properties of normal distribution EXCEPTA. The area under the normal curve is 1.B. The normal distribution curve is bell-shaped.C. The tails of the normal curve touch the horizontal line.D. The mean of standard normal curve is 0 and its standard deviation is 1.14. Which of the following describes the shaded region?A. between z =0 and z = 1B. between z 1 and z = 2C. between z = -1 and z = 1D. between z = -1 and z = -215. Given the mean u = 50 and the standard deviation a = 4 of a population of Reading Scores. What is the z-value that corresponds to a score X = 58?А. 2В. 3C. 4D. 5

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