A professor at a local community college noted that the grades of his students were normally distributed with a mean of 77 and a standard deviation of10. The professor has informed us that 7.5 percent of his students received A's while only 2.25 percent of his students failed the course and received F's.(You may need to use the appropriate appendix table or technology to answer this question.)(a) What is the minimum score needed to make an A? (Round your answer to one decimal place.)x(b) What is the maximum score among those who received an F? (found your answer to one decimal place.)(c) If there were 4 students who did not pass the course, how many students took the course? (Round your answer to the nearest integer.)

Let X= grades of student X follows Normal(mean=77, Sd=10) No of students received A=7.5 %=0.075 No…

Answered: A professor at a local community…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?

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