Question
In: Statistics and Probability
(1 point) The professor of a introductory calculus class has stated that, historically, the distribution of...
(1 point) The professor of a introductory calculus class has
stated that, historically, the distribution of test grades in the
course resemble a Normal distribution with a mean test mark of
?=63μ=63% and a standard deviation of ?=9σ=9%.
If using/finding ?z-values, use three decimals.
(a) What is the probability that a random chosen
test 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 test mark of at least 50%. What proportion of students will
not pass the calculus test? Use four decimals in your
answer.
(c) The top 6% of students writing the test will
receive a letter grade of at least an A in the course. To two
decimal places, find the minimum test mark needed on the calculus
final to earn a letter grade of at least an A in the
course.
%
(d) Suppose this professor randomly picked 27
tests, observing the earned mark on each. What is the probability
that 5 of these have a test grade of less than 50%? Use four
decimals in your answer.
Solutions
Expert Solution
Let me know in the comment section if anything is not
clear. I will reply ASAP!
If you like the answer, please give a thumbs-up. This
will be quite encouraging for me.Thank-you!
orchestra answered 1 year agoRelated Solutions
(1 point) The professor of a introductory calculus class has stated that, historically, the distribution of...
(1 point) The professor of a introductory calculus class has
stated that, historically, the distribution of final test grades in
the course resemble a Normal distribution with a mean final test
mark of μ=62μ=62% and a standard deviation of σ=11σ=11%.
If using/finding zz-values, use three decimals.
(a) What is the probability that a random chosen
final test mark in this course will be at least 73%? Answer to four
decimals.
(b) In order to pass this course, a student must...
A professor of a introductory statistics class has stated that, historically, the distribution of final exam...
A professor of a introductory 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 60%
and a standard deviation of 9%.
(a) What is the probability that a randomly chosen final exam mark
in this course will be at least 75%?
(b) In order to pass this course, a student must have a final exam
mark of at least 50%. What proportion of...
In a large class of introductory Statistics students, the professor has each person toss a coin...
In a large class of introductory Statistics students, the
professor has each person toss a coin 29 times and calculate the
proportion of his or her tosses that were heads. Complete parts a
through d below.
The Independence Assumption (is or is not) )_____satisfied
because the sample proportions (are or are not)_____independent of
each other since one sample proportion (can affect or does not
affect)______another sample proportion. TheSuccess/Failure
Condition is not satisfied because np=____ and nq=____which are
both (less than...
A statistics professor has stated that 90% of his students pass the class. To check this...
A statistics professor has stated that 90% of his students pass
the class. To check this claim, a random sample of 150 students
indicated that 129 passed the class. If the professor's claim is
correct, what is the probability that 129 or fewer will pass the
class this semester?
A) 0.0516
B) 0.9484
C) 0.5516
D) 0.4484
please show work
COIN TOSSES In a large class of introductory Statistics students, the professor has each student toss...
COIN
TOSSES In a large class of introductory Statistics
students, the professor has each student toss a coin 16 times and
calculate the proportion of his or her tosses that were heads. The
students then report their results, and the professor plots a
histogram of these several proportions.
What shape would you
expect this histogram to be? Why?
Where do you expect
the histogram to be centred?
How much variability
would you expect among these proportions?
Explain why a Normal...
Normal distribution of Calculus 1 course in Chemical Engineering Department According to the grade point average...
Normal distribution of Calculus 1 course in Chemical Engineering
Department
According to the grade point average is 50 and the standard
deviation is 3. Since the passing grade is 45:
a) What is the percentage of probability of Chemical Engineering
students from the course?
b) What is the probability that Chemical Engineering students will
pass the course?
c) What is the grade of the student who gets a grade better than
90% of the class from Calculus 1 course?
d)...
A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would...
A professor who teaches a large introductory statistics class
(197 students) with eight discussion sections would like to test if
student performance differs by discussion section, where each
discussion section has a different teaching assistant. The summary
table below shows the average score for each discussion section as
well as the standard deviation of scores and the number of students
in each section.
Sec 1
Sec 2
Sec 3
Sec 4
Sec 5
Sec 6
Sec 7
Sec 8
ni...
Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The...
Let X be the exam grade of a student taking Calculus 1 with
Professor Smith. The professor believes that X has a mean of 76 and
a standard deviation of 12.5. Suppose there are 100 students in
Professor Smith's class. Approximate the probability that X is
between 73.8 and 77.8.
Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The...
Let X be the exam grade of a student taking Calculus 1 with
Professor Smith. The professor believes that X has a mean of
81 and a standard deviation of
22. Suppose there are 100
students in Professor Smith's class.
Approximate the probability that X is
higher than 83.6 OR smaller than 79.2?
When an introductory statistics course has been taught live, the average final numerical grade has historically...
When an introductory statistics course has been taught live, the
average final numerical grade has historically been 71.6% with a
standard deviation of 8.8%. Forty students were selected at random
to take a new online version of the same course, and the average
final numerical grade for these students was found to be 69.2%.
Assume that the grades for the online students are normally
distributed and that the population standard deviation is still
8.8%. In parts (a) and (b), use...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 3) You are rolling a 12 sided die 8 times. a) What is the size for...
- explain the difference between quantitative and qualitative research strategies. Provide an example of a crime based...
- use postorder and inorder tree traversals to make preorder traversal. #!/usr/bin/env python3 # encoding: UTF-8 """Turning...
- 1. Write an if-else statement to describe an object. Print "Balloon" if isBalloon is true and...
- An investor is considering purchasing a Treasury bond with a 20 year maturity, an 8% coupon...
- Write a program that copies the contents of one file to a destination file. This program...
- how to conduct a marketing mix for 3d crest white strips
ADVERTISEMENT