Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standard deviation 19.  ​a) Find the probability that a score is from 185 to 210. ​b) Find the probability that a score is from 165 to 275. ​c) Find the probability that a score is greater than 200. ​d) The best score is 299. Find the percentile that corresponds to this​ score, and explain what that number represents. ​a) The probability that a score is from 185 to 210 is     ​(Round to four decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standard deviation 19. 
​a) Find the probability that a score is from 185 to 210.
​b) Find the probability that a score is from 165 to 275.
​c) Find the probability that a score is greater than 200.
​d) The best score is 299. Find the percentile that corresponds to this​ score, and explain what that number represents.

​a) The probability that a score is from 185 to 210 is 
  
​(Round to four decimal places as​ needed.)

 

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