probability distribution: a) The probability that a student chosen at random took the test between 1 and 2 times: b) The probability that a student takes the SAT test 3 or more times: c)Knowing that a student takes the test more than once, what is the probability that it is at most 4 times
x | 1 | 2 | 3 | 4 | 5 | 6 |
p(X=x) | 0.110 | 0.234 | 0.312 | 0.234 | 0.094 | 0.016 |
The number of students taking the SAT test has reached a record high of over 1.5 million (College Board, Aug. 26, 2008). Students were able to retake the test in hopes of improving the score that is submitted to American college and university admissions offices. Let X be a random variable indicating the number of times a student takes the SAT test with the following
a) The probability that a student chosen at random took the test between 1 and 2 times:
b) The probability that a student takes the SAT test 3 or more times:
c)Knowing that a student takes the test more than once, what is the probability that it is at most 4 times:
d) Average number of times the SAT is taken is equal to:
e) The standard deviation of the number of times a student takes the SAT equals:
Step by step
Solved in 4 steps