1. A bottle of water contains 12.05 fluid ounces with a standard deviation of 0.01 ounces. Define the random variable X in words. X= 2. A normal distribution has a mean of 61 and a standard deviation of 15. What is the median? 3.X ~ N(1, 2) = 4. 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= 5.X ~ N(-4, 1) What is the median? 6.X ~ N(3, 5) 0= 7. X ~ N(-2, 1) 8. What does a z-score measure? 9. What does standardizing a normal distribution do to the mean? 10 . Is X ~ NO, 1) a standardized normal distribution? Why or why not? 11 . What is the z-score of x = 12, if it is two standard deviations to the right of the mean? 12. What is the z-score of x = 9, if it is 1.5 standard deviations to the left of the mean? 13. What is the z-score of x =-2. if it is 2.78 standard deviations to the right of the mean? 14. What is the z-score of x = 7, if it is 0.133 standard deviations to the left of the mean.standard