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# 1. In its standardized form, the normal distribution  (a) has a mean of 0 and a standard deviation of 1. (b) has a mean of 1 and a variance of 0. (c) has an area equal to 0.5. (d) cannot be used to approximate discrete probability distributions.   2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770. The value of Z is (a) 0.18 (b) 0.81 (c) 1.16 (d) 1.47   3. For some value of z, the probability that a standard normal variable is below z is 0.2090. The value of Z is  (a) -0.81 (b) -0.31 (c) 0.31 (d) 1.96   4. For some positive value of X, the probability that a standard normal variable is between 0 and +2x is 0.1255. The value of X is  (a)  0.99 (b) 0.40 (c) 0.32 (d) 0.16   5. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 35. minutes and a standard deviation of minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. (a) 0.3551 (b) 0.3085 (c) 0.2674 (d) 0.1915 