The overall grade of a statistics class has a normal distribution with mean of 85.5 and standard deviation of 5.5. The instructor decides letter grades of students so that 5% fails the class. Find the minimum overall grade a student should get so that the student does not fail the class. (keep 1 decimal place)

The overall grade of a statistics class has a normal distribution with mean of 85.5 and...
The final exam grade of a statistics class has a normal distribution with mean of 75.5 and standard deviation of 7. Find the two cutoff values which separate the middle 20% of final exam grades in this class. Lower cutoff is (keep 1 decimal place) Upper cutoff is (keep 1 decimal place)
The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a standard deviation of 11. The distribution of grades was unimodal and symmetrical. What is the probability that a student received a grade above 90? The results from a statistics class' first exam are as follows: The mean grade obtained by its 25 students is 83, with a variance of 121. The distribution of grades was unimodal and symmetrical....
show all steps, thanks
3.2.21. A professor in a large statistics class has a grading policy such that only the 15% of the students with the highest scores will receive the grade A. The mean score for this class is 72 with a standard deviation of 6. Assuming that all the grades for this class follow a normal probability distribution, what is the minimum score that a student in this class has to get to receive an A grade?
The grade point averages of the students in a large statistics class follow a normal distribution with a mean of 3.0 and a standard deviation of 0.25. What is the probability that a randomly sampled student from this class has a GPA of less than 2.95? (hint: you will need to use the table on page 175)
The final exam grade of a statistics class has a skewed distribution with mean of 76 and standard deviation of 7.4. If a random sample of 36 students selected from this class, then what is the probability that the average final exam grade of this sample is between 75 and 80? Answer: (keep 4 decimal places)
STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS NORMAL WITH A MEAN OF 70, AND A STANDARD DEVIATION OF 6. (a) ANYONE WHO SCORES IN THE TOP 20% OF THE DISTRIBUTION GETS A GRADE OF “A” OR “B” WHAT IS THE LOWEST SCORE SOMEONE CAN GET AND STILL GET A “B”? (b) THE BOTTOM 20% GET A “D” OR “F”. WHAT IS THE LOWEST SCORE THAT STILL PASSES WITH THE “C” ?
The parent population mean grade, μ, on a final exam was 81, and the parent population standard deviation, σ, was 10. The instructor grades such that only the top 10% of the class receives an A on the final exam, assuming the grades follow a normal distribution (assumed because the number of students is seemingly infinite). What is the minimum grade necessary to make an A on the final?
. The professor of a large class decides to grade the nal exam on a curve. He will use the following criteria: 15% of students will get a grade of A+ .17% of students will get a grade of A. 11% of students will get a grade of B+ 18% of students will get a grade of B. 9% of students will get a grade of C+ 12% of students will get a grade of C. 10% of students will...
1. A professor grades students on a normal distribution. For any grade x, based on a course mean and standard deviation developed over years of testing, the following scale applies A': course grade 1.6 standard deviation above the mean 'B': course grade between 0.45 and 1.6 standard deviations above the mean C': course grade t 0.45 standard deviations from the mean. Assuming "large sample size", what percentage of students will receive an A in course? 2.61 % 3.78 % 4.95...
The professor of a
introductory calculus class has stated that, historically, the
distribution of final exam grades in the course resemble a Normal
distribution with a mean final exam mark of μ=63μ=63% and a
standard deviation of σ=9σ=9%.
If using/finding zz-values, use three decimals.
(a) What is the probability that a random chosen
final exam mark in this course will be at least 73%? Answer to four
decimals.
(b) In order to pass this course, a student must
have a...