2.) Scores on a national exam are normally distributed with a
mean 500 and a standard...
2.) Scores on a national exam are normally distributed with a
mean 500 and a standard deviation of 20. Find the score
corresponding to the 70th percentile. use the table or excel.
3.) X is a binomial random variable with parameters n=5 and p=
.5. Use the table to compute the probability indicated. P(x= 3).
Round to four decimal places.
4.) A uniform distribution has a density curve that spans over
the interval [3,7]. what height will the curve have to be on the
y-axis?
5.) The probability that a part is defective is .05. A box
contains 10 such prts. Find the probability that at least one of
the parts is defective. use the tables.
6.) Two hundred raffle tickets are sold at $1 each. One ticket
will win $1000 and 2 tickets will win $500. Let x denote the net
gain from the purchase of a randomly selected ticket. compute the
expected value E(x).
Solutions
Expert Solution
Ans (2) Let random variable X denote national axam score
Scores on a national exam vary normally with a mean of 400 and
standard deviation of 75.
a. What must a student score to be in the 90th
percentile?
b. if 16 student take the exam, what is the probabiltiy that
their mean score is at most 390?
Please make sure you explain and show your work, as to how you
got the standard devation of 75?
A set of exam scores is normally distributed with a mean = 82
and standard deviation = 4. Use the Empirical Rule to complete the
following sentences. 68% of the scores are between and . 95% of the
scores are between and . 99.7% of the scores are between and .
LicensePoints possible: 3 This is attempt 1 of 3.
A set of exam scores is normally distributed with a mean = 80
and standard deviation = 8.
Use the Empirical Rule to complete the following sentences.
68% of the scores are between and .
95% of the scores are between and .
99.7% of the scores are between and .
Get help: Video
3) Scores on the SAT are normally distributed with a
mean of 500 and a standard deviation of 100
What is the probability of obtaining a score greater than
640?
What is the probability of obtaining a score less than
390?
What is the probability of obtaining a score between 725 and
800?
What is the probability of obtaining a score either less than
375 or greater than 650?
4) If you obtained a score of 75 on an test,...
The scores on an anthropology exam are normally distributed with
a mean of 76 and a standard deviation of 5. Show your work step by
step to receive full credit.
1) (6 points) The failing grade is anything 2.5 or more standard
deviations below the mean. What is the cutoff for a failing
score?
2) (6 points) If 3000 students took the exam, how many students
failed? 3) (6 points) If 3000 students took the exam and the cutoff
for...
GRE math scores are normally distributed with a mean µ = 500 and
standard deviation, = 55. This year Howard University admitted
1500 graduate students.
Calculate:
a. the number of students with test scores above 520,
below 490, between 482 & 522
b. how high a score is needed to be in the top 10%,
top 5%?
Math SAT scores are known to be normally distributed
with mean of
500 and standard deviation of 100. Answer the following questions.
(I also want to see
good notation and some of your calculations.)
a) Suppose we randomly select one person who has taken the SAT.
What is the
probability their math score is between 525 and 550?
b) Suppose we randomly select 25 people who have taken the SAT.
What is the
probability their average math score is between...
Suppose the scores of students on an exam are normally
distributed with a mean of 340 and a standard deviation of 57. Then
according to the Empirical Rule approximately 99.7 of the exam
scores lie between the integers 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...
Critical reading SAT reading scores is normally distributed with
a mean 500 and
a standard deviation of 100.
a) Find the SAT score at the 75th percentile?
b) Find the SAT score at the 25th percentile?
c) What is the interquartile region?
d) Harvard need a reading SAT score in the top 5%. Alice gets a
720 is she
admitted? Explain.