After an exhaustive university-wide student survey, it was found that the IQ scores of Brac University students follow a normal distribution with mean 110 and standard deviation 25 a. What is the probability that a randomly selected student will have an IQ score greater than 65?   b. What is the probability that a randomly selected student will have an IQ score between 41 and 173?   c. Faisal claims that his IQ score is better than 87.39% of all BracU students. What is the minimum IQ score Faisal should have for his claim to be valid??

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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After an exhaustive university-wide student survey, it was found that the IQ scores of Brac University students follow a normal distribution with mean 110 and standard deviation 25

a. What is the probability that a randomly selected student will have an IQ score greater than 65?
 
b. What is the probability that a randomly selected student will have an IQ score between 41 and 173?
 
c. Faisal claims that his IQ score is better than 87.39% of all BracU students. What is the minimum IQ score Faisal should have for his claim to be valid??
 
[Answer in exact fraction, or rounded to at least 2 decimal places.]
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