The Test of English as a Foreign Language (TOEFL) is required by most universities to help in their admissiondecisions on international students. From past records at a certain university, these scores are approximatelynormally distributed with a mean of 500 and a variance of 6,400. If an international student's application is selectedat 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?

As per the bartleby guidelines for more than three parts only three parts has to be solved. Please…

Answered: The Test of English as a Foreign…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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