Question

"Assume that there are four exams in a course and you think (before taking the exams) that your grade in each of the exams is a normal random variable with mean 60 and standard deviation 10. Assuming that the grades in different exams are independent, calculate the probability that you receive a grade higher than 90 in exactly one of these four exams. (Note: While making your calculations, keep your results with at least 4 decimal places in all steps. Furthermore, your final answer should include 4 decimal places.)"

Answer #1

Assume that there are four exams in a course and you think
(before taking the exams) that your grade in each of the exams is a
normal random variable with mean 57 and standard deviation 20.
Assuming that the grades in different exams are independent,
calculate the probability that you receive a grade higher than 55
in exactly one of these four exams. (Note: While making your
calculations, keep your results with at least 4 decimal places in
all steps....

A mean average of 80 or greater for five exams is needed for a
final grade of B in a course. Jorge's first four exam grades are
73, 69, 85, an 80. What grade does Jorge need on the fifth exam to
get a B in the course? Must Jorge get exactly the grade you
calculated? Can he receive a higher or lower grade and still get a
B?

Suppose that you are taking a course.
There are two midterms and a final exam. Each midterm impacts 25%
of the course grade while final exam impacts 50% of the grade. The
first and second midterm scores follow a normal distribution with
mean 84 points and the standard deviation of 9 points and mean 85
points and the standard deviation of 6. Assume that the final exam
is also normally distributed with mean 87 and standard deviation of
6 points....

The professor of a Statistics 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=60μ=60% and a standard deviation of σ=9σ=9%.
(a) What is the probability that a random chosen
final exam mark in this course will be at least 73%? Answer to four
decimals.
equation editor
(b) In order to pass this course, a student must
have a final exam mark of at...

A set of final examination grades in an introductory statistics
course is normally distributed, with a mean of 72 and a standard
deviation of 9.
a) What is the probability that a student scored below 89 on
this exam? (Round to 4 decimal places as needed.)
b) What is the probability that a student scored between 63 and
95? (Round to 4 decimal places ad needed.)
c) The probability is 5% that a student taking the test scores
higher than...

Question 1
1. A set of final examination grades in an introductory
statistics course is normally distributed with a mean of 85 and a
standard deviation of 12.
a) What is the probability of getting a grade of 95 on this
exam?
b) What is the probability that a student scored less than 55
and more than79?
c) The probability is 8% that a student taking the test scores
higher than than what grade?
d) If the professor grades on...

uestion 1
1. A set of final examination grades in an introductory
statistics course is normally distributed with a mean of 73 and a
standard deviation of 8.
a) What is the probability of getting a grade of 91or less on
this exam?
b) what is the probability that a student scored between 65
and 89?
c) The probability is 5% that a student taking the test scores
higher than than what grade?
d) If the professor grades on a...

PROBLEM: A set of final examination grades in an introductory
statistics course was found to be normally distributed with a mean
of 73 and a standard deviation of 8.
Use Excel to determine the following values to 6 (round up)
decimal place accuracy.
Fill in the following values.
1. Determine the probability of getting a grade that is less
than 85.Answer____________________________________
2. Determine the probability of getting a grade that is greater
than 90.Answer__________________________________
3. Determine the probability of getting...

Suppose your statistics instructor gave six examinations during
the semester. You received the following exam scores (percent
correct): 80, 74, 90, 93, 94, and 73. To compute your final course
grade, the instructor decided to randomly select two exam scores,
compute their mean, and use this score to determine your final
course grade.
Compute the population mean. This is your average grade based on
all of your grades. (Round your answer to 2 decimal
places.)
Compute the population standard deviation....

A university found that 20% of its students withdraw without
completing the introductory statistics course. Assume that 20
students registered for the course. (a) Compute the probability
that 2 or fewer will withdraw. If required, round your answer to
four decimal places. (b) Compute the probability that exactly 4
will withdraw. If required, round your answer to four decimal
places. (c) Compute the probability that more than 3 will withdraw.
If required, round your answer to four decimal places. (d)...

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