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R.R. Jha, Tutor
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The number of students taking the Scholastic Aptitude Test
Resolved Question:
The number of students taking the Scholastic Aptitude Test (SAT) has risen to an alltime high of more than 1.5 million (College Board, August 26, 2008). Students are allowed to repeat the test in hopes of improving the score that is sent to college and university admission offices. The number of times the SAT was taken and the number of students are as follows.
a. Let x be a random variable indicating the number of times a student takes the SAT. Show the probability distribution for this random variable (to 4 decimals).
x = 1
x = 2
x = 3
x = 4
x = 5
b. What is the probability that a student takes the SAT more than one time (to 4 decimals)?
c. What is the probability that a student takes the SAT three or more times (to 4 decimals)?
d. What is the expected value of the number of times the SAT is taken (to 4 decimals)?
What is your interpretation of the expected value?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
e. What is the Variance and Standard deviation for the number of times the SAT is taken (to 4 decimals)?
What is the Variance?
What is the Standard deviation?
Submitted:
2 years ago.
Category:
Homework
Expert:
R.R. Jha
replied 2 years ago.
Hi,
Table for number of students didn't appear. Please paste the table again.
Regards
Ask Your Own Homework Question
Customer:
replied 2 years ago.
Number of times Number of Students
1 721,769
2 601,325
3 166,736
4 22,299
5 6,730
Expert:
R.R. Jha
replied 2 years ago.
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