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(P Take a Test Pedro Giron Google Chrome Quizzes & Tests Secure h ps://www. math

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Question

(P Take a Test Pedro Giron Google Chrome Quizzes & Tests Secure h ps://www. mathxl.com Test aspx?testld 1512147998ucenterwin yes /Student/Player openvellu C Math 123 DL Spring 2017 Pedro Giron & 3/19/17 7:22 PM Pedro O Quiz: Chapter 5 Quiz Submit Quiz MyStatLab This Question 1 pt This Quiz 10 pts possible 9 of 10 (8 complete O My Courses urse Calendar Course Home Use the normal distribution of SAT critical reading scores for which the mean is 511 and the standard deviation is 124. Assume the variable x is normally distributed. Homework (a) WI percent of the SAT verbal scores are less than 6257 hat (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? Quizzes & Tests (a) Approximately I% of the SAT verbal scores are less than 625. Study Plan (Round to two decimal places as needed.) Gradebook (b) You would expect that approximately SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed Gradebook Stat Crunch Chapter Contents See Score Tools for Success see score Multimedia Library Purchase Options See score Pearson Tutor Services see score Enter your answer in each of the answer boxes. Discussions Course Tools 77.5% 11:59pm 6-22 PM WE N Ask me anything 3/19/2017

Explanation / Answer

Mean ( u ) =511
Standard Deviation ( sd )=124
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
a.
P(X < 625) = (625-511)/124
= 114/124= 0.9194
= P ( Z <0.9194) From Standard Normal Table
= 0.821                  
approximately 82.1% are less than 625
b.
P(X > 550) = (550-511)/124/ Sqrt ( 1000 )
= 39/3.921= 9.9459
= P ( Z >9.9459) From Standard Normal Table
= 0                  

it would be zero scores that we get greater 550