SOLUTION: Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find

Algebra ->  Probability-and-statistics -> SOLUTION: Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find      Log On


   

Question 437265: Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find the probability that he will have 52 or more jobs.
Travis took a standardized test to try to get credit for first-year Spanish. His standardized score was 1.86. The mean score for the exam was 100 with standard deviation 11.2. Compute Travis raw (actual) score.

the language department requires a raw score of 125 to get credit for this class. Will Travis get credit for this course based on his exam? Explain.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bill runs a bicycle repair shop. During the summer months the number of jobs per week follows a normal distribution with mean 45 and deviation 9. For a week chosen at random find the probability that he will have 52 or more jobs.
-------------------
z(52) = (52-45)/9 = 7/9
---
P(x>= 52) = P(z>= 7/9) = normalcdf(7/9,100) = 0.2184
===========

Travis took a standardized test to try to get credit for first-year Spanish. His standardized score was 1.86. The mean score for the exam was 100 with standard deviation 11.2. Compute Travis raw (actual) score.
---
x = zs+u
raw score = 1.86*11.2+100 = 120.83
===========================================
the language department requires a raw score of 125 to get credit for this class. Will Travis get credit for this course based on his exam? Explain.
---
No, his score is 120.83.
============================
cheers,
Stan H.
=============================