### Bowling Scores Analysis Recently, the bowling scores of a certain bowler were analyzed, assuming they follow a normal distribution with a mean of 201 and a standard deviation of 21. Based on this data, you are asked to calculate the following probabilities and percentile:1. **Probability Calculations:** - **a)** Determine the probability that a score is from 185 to 210. - Answer: [ ] (Round to four decimal places as needed.) - **b)** Determine the probability that a score is from 160 to 175. - Answer: [ ] (Round to four decimal places as needed.) - **c)** Determine the probability that a score is greater than 200. - Answer: [ ] (Round to four decimal places as needed.)2. **Percentile Calculation:** - **d)** Given that the best score is 299, find the percentile that corresponds to this score and explain its significance. - Answer: The [ ]th percentile corresponds to this score, which means that 299 is [worse/better] than [ ]% of all other scores. (Round to five decimal places as needed.)### Explanation:- Click the provided icon to view the standard normal distribution table as needed for calculations.- Use standard normal distribution techniques to identify probabilities for specified ranges.- To calculate percentiles, determine how a score compares to the statistical distribution of all scores.

Let X denotes the bowling scores of a certain bowler. Given that X follows N(mean = 201, SD = 21),…

Answered: -) Find the probability that a score is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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-) Find the probability that a score is from 185 to 210. >) Find the probability that a score is from 160 to 175. :) Find the probability that a score is greater than 200. 1 The best s correspon core is 2ga Find the percentile that