Question

For a certain very large group of students, test scores are normally distributed with a mean of 70 and a standard deviation of 8. A student will receive an A if he gets at least a 92, and must earn at least a 67 in order to pass.

a. What is the probability that a student selected at random will get an A on the test?

b. What is the probability that a random sample of 20 students will have an average grade of below 67?

Answer #1

Scores of students in a large Statistics class test are normally
distributed with a mean of 75 points and a standard deviation of 5
points.Find the probability that a student scores more than 80
pointsIf 100 students are picked at random, how many do you expect
to score below 70 points?If top 10% of students obtain an A grade,
how much should a student obtain to get an A grade.Suppose four
students are picked at random, find the probability that...

Scores of students in a large Statistics class are normally
distributed with a mean of 75 points and a standard deviation of 5
points.
Find the probability that a student scores more than 80
points
If 100 students are picked at random, how many do you expect to
score below 70 points?
If top 10% of students obtain an A grade, how much should a
student obtain to get an A grade.
Suppose four students are picked at random, find...

The scores on a certain test are normally distributed with a
mean score of 70 and a standard deviation of 3. What is the
probability that a sample of 90 students will have a mean score of
at least 70.3162?

12. a) If scores on a certain medical test are normally
distributed with mean 50 and standard deviation 5, what score (or
lower) would place a score in the bottom 10% of scores?
b) If scores on a certain medical test are normally distributed
with mean 50 and standard deviation 5, and if 30 of these medical
test scores are selected at random and the average score is
computed, what is the probability that this average score will be
greater...

Scores on a certain test are normally distributed with a mean of
77.5 and a standard deviation 9.3.
a) What is the probability that an individual student will score
more than 90?
b) What proportion of the population will have a score between
of 70 and 85?
c) Find the score that is the 80th percentile of all tests.

Scores for a common standardized college aptitude test are
normally distributed with a mean of 515 and a standard deviation of
110. Randomly selected students are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
course has no effect.
If 1 of the students is randomly selected, find the probability
that their score is at least 581.7.
P(X > 581.7) =
Enter your answer as a number accurate to 4 decimal places.
If...

The final exam in a certain course has scores that are normally
distributed with a mean of 70.9 with a standard deviation of 6.1.
If 19 students are randomly selected, find the probability that the
mean of their final exam scores is less than 67.
Round your answer 4 places after the decimal
point.

From past history, the scores on a statistics test are normally
distributed with a mean of 70% and a standard deviation of 5%. To
earn a "C" on the test, a student must be in the top 25% of the
class. What should a student score to receive a "C"?
77.21
74.69
73.96
76.90
None of the choices are correct

From past history, the scores on a statistics test are normally
distributed with a mean of 70% and a standard deviation of 5%. To
earn a "C" on the test, a student must be in the top 25% of the
class. What should a student score to receive a "C"?
77.21
74.69
73.96
76.90
None of the choices are correct

The scores on a Japanese test are normally distributed with a
mean of 70 and a standard deviation of 3.2. Show your work step by
step to receive full credit. The distribution table is attached to
the last page. 1) (2 points) The failing grade is anything 2.5 or
more standard deviations below the mean. What is the cutoff for a
failing score? 2) (2 points) If 3200 students took the test, how
many students failed? 3) (2 points) If...

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