Question: solve it all types (8 Marks Q2. The Test of English as a Foreign Language (TOEFL) is required by most universities to help in their
solve it all types

(8 Marks Q2. 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 selec at random, (8 Marks (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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