1. A normal distribution has a mean of 61 and a standard deviation of 15. What is the median? __________ 2. A company manufactures rubber balls. The mean diameter of a ball is 12 cm with a standard deviation of 0.2 cm. Define the random variable X in words. X = 3. What does a z-score measure?____________________________________ 4. Suppose X ~ N(2, 3). What value of x has a z-score of -0.67?_______________ 5. Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean?____________ 6. The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. X ~ _____(_____,_____) 7. If the area to the left of x in a normal distribution is 0.123, what is the area to the right of x? ________________ 8. If X ~ N(54, 8). Find the probability that x > 56. __________________ 9. If X ~ N(4, 5). Find the maximum of x in the bottom quartile. __________________ 10. Use the figure below. If the area to the left of x in a normal distribution is 0.123, what is the area to the right of x?________________________________