The Test of English as a Foreign Language (TOEFL) is required by most universities to help in their admission decisions on international students. From past records at a certain university, these scores are approximately normally distributed with a mean of 500 and a variance of 6,400. If an international student's application is selected at random, (a) what is the probability that the student's TOEFL score is at most 440? (b) what is the probability that the student's TOEFL score is at least 510? (c) what is the probability that the student's TOEFL score is equal to the mean score? (d) what is the probability that the student's TOEFL score is between 465 and 515?
The Test of English as a Foreign Language (TOEFL) is required by most universities to help in their admission decisions on international students. From past records at a certain university, these scores are approximately normally distributed with a mean of 500 and a variance of 6,400. If an international student's application is selected at random, (a) what is the probability that the student's TOEFL score is at most 440? (b) what is the probability that the student's TOEFL score is at least 510? (c) what is the probability that the student's TOEFL score is equal to the mean score? (d) what is the probability that the student's TOEFL score is between 465 and 515?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:The Test of English as a Foreign Language (TOEFL) is required by most universities to help in their admission
decisions on international students. From past records at a certain university, these scores are approximately
normally distributed with a mean of 500 and a variance of 6,400. If an international student's application is selected
at random,
(a) what is the probability that the student's TOEFL score is at most 440?
(b) what is the probability that the student's TOEFL score is at least 510?
(c) what is the probability that the student's TOEFL score is equal to the mean score?
(d) what is the probability that the student's TOEFL score is between 465 and 515?
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