Question
In: Statistics and Probability
Scores of students in a large Statistics class are normally distributed with a mean of 75...
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 probability that the average score of those four students is more than 80 points.
Please show all your work with explanation
Solutions
orchestra answered 1 year agoRelated Solutions
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 72 and a standard deviation of 4 . Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 37 th percentile of the scores.
(b) Find the 70 th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 12 % of the class. What is the minimum score
needed...
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 76 and a standard deviation of 9.
(a) Find the 25th percentile of the scores.
(b) Find the 79th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 13% of the class. What is the minimum score
needed to get an A?
(d) Between what two values is the middle 60% of...
Scores on a statistics final in a large class were normally distributed with a mean of...
Scores on a statistics final in a large class were normally
distributed with a mean of 71 and a standard deviation of 8. Use
the Cumulative Normal Distribution Table to answer the
following.
(a) Find the 30th percentile of the scores.
(b) Find the 70th percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 5 % of the class. What is the minimum score
needed to get an...
1) Suppose the scores of students on a Statistics course are Normally distributed with a mean...
1) Suppose the scores of students on a Statistics course are
Normally distributed with a mean of 542 and a standard deviation of
98. What percentage of the students scored between 542 and 738 on
the exam? (Give your answer to 3 significant figures.)
2) A new car that is a gas- and electric-powered hybrid has
recently hit the market. The distance travelled on 1 gallon of fuel
is normally distributed with a mean of 65 miles and a standard...
Exam grades: Scores on a statistics final in a large class were normally distributed with a...
Exam grades: Scores on a statistics final in a
large class were normally distributed with a mean of
70 and a standard deviation of 10. Use the TI-84 PLUS calculator
to answer the following. Round the answers to at least two
decimals.
(a) Find the 42nd percentile of the scores.
(b) Find the 71st percentile of the scores.
(c) The instructor wants to give an A to the students whose
scores were in the top 10% of the class. What...
The final exam scores in a statistics class were normally distributed with a mean of 70...
The final exam scores in a statistics class were normally
distributed with a mean of 70 and a standard deviation of five.
What is the probability that a student scored less than 55% on the
exam?
The scores on a statistics test are Normally distributed with parameters µ = 75 and σ...
The scores on a statistics test are Normally distributed with
parameters µ = 75 and σ = 10.
Find the probability that a randomly chosen score is
(a) no greater than 60
(b) at least 90
(c) between 60 and 90
(d) between 65 and 85
(e) at least 75
Given the scores on a certain exam are normally distributed with a mean of 75 and...
Given the scores on a certain exam are normally distributed with
a mean of 75 and a standard deviation of 5
a. Calculate the z-score for 80. Find the percentage of students
with scores above 80
b. Calculate the z-score for 60. Find the percentage of students
with scores below 60.
c. Calculate the z-scores for 70 and 90. Find the percentage of
students with scores between 70 and 90.
d. What is the median?
e. What test score value...
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 50 exams has an average midterm test
mark that is less than 70?
a. Virtually 0
b. 0.2033
c. -5.89
d. 0.2776
e. Virtually 1
The marks on a statistics midterm test are normally distributed with a mean of 75 and...
The marks on a statistics midterm test are normally distributed
with a mean of 75 and a standard deviation of 6. What is the
probability that a sample of 25 exams has a sample mean between 71
and 73?
a. 0.45293
b. 0.04793
c. 0.0475
d. 0.0485
e. 0.04707
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