solve the following problems Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter test are   normally distributed with a mean of 50 and a standard deviation of 5. If the z-score of a student is 2,   find his raw score. The mean number of cupcakes sold at a booth in a week is 180 with a standard   deviation of 6. If the number of cupcakes sold over a week follows a normal distribution, determine   the probabilities that in a randomly selected week,    a. more than 186 cupcakes are sold.    b. Between 175 and 185 are sold

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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solve the following problems

Assuming that the scores of Grade 11 students in Statistics and Probability in their third quarter test are 
 normally distributed with a mean of 50 and a standard deviation of 5. If the z-score of a student is 2, 
 find his raw score. The mean number of cupcakes sold at a booth in a week is 180 with a standard 
 deviation of 6. If the number of cupcakes sold over a week follows a normal distribution, determine 
 the probabilities that in a randomly selected week,
 
 a. more than 186 cupcakes are sold.
 
 b. Between 175 and 185 are sold

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