BA220 Quiz 4 July 23, 2018 Student: _______________________________________ 1. A company manufactures rubber balls. The mean diameter of a ball is 12 cm with a standard deviation of 0.2 cm. Define the...

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BA220 Quiz 4 July 23, 2018 Student: _______________________________________ 1. 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 =______________. 2. Given the notation, X ~ N(-4,1), what is the median? 3. Given the notation, X ~ N(3,5), what is the standard deviation? 4. Given the notation of X ~ N(6,1), what is the mean? 5. What does a z-score measure? 6. Is X ~ N(0,1) a standardized normal distribution? Why or why not? 7. Values of x that are larger than the mean have positive Z scores. True False 8. Values of x that are smaller than the mean have positive Z scores. True False BA220 Quiz 4 July 23, 2018 9. About what percent of x-values lie between the mean and three standard deviations? 10. About what percent of x values lie between the mean and one standard deviation? 11. How would you represent the area to the left of three in a probability statement? 12. How would you represent the area to the right of one in a probability statement? 13. If the area to the right of x in a normal distribution is 0.543, what is the numeric value of the area to the left of x? 14. Given the notation X ~ N(54, 8), find the probability that x > 56. 15. Given the notation X ~ N(44, 6), find the probability that x < 46.="" ba220="" quiz="" 4="" july="" 23,="" 2018="" 16.="" the="" basketball="" scores="" for="" a="" school="" team="" were="" normally="" distributed="" with="" a="" mean="" of="" 12="" and="" a="" standard="" deviation="" of="" 5.="" find="" the="" probability="" that="" a="" randomly="" selected="" player="" scored="" less="" than="" 9.="" 17.="" given="" the="" notation="" x="" ~="" n(9,="" 4),="" find="" the="" probability="" that="" x=""> 12.