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Suppose that on a certain examination in advanced mathematics, students from University A achieve scores that...

Suppose that on a certain examination in advanced mathematics, students from University A achieve scores that are normally distributed with a mean of 625 and a variance of 100, and students from University B achieve scores which are normally distributed with a mean of 600 and a variance of 150.

a) What is the probability that a student from University A will score more than 725?

b) What is the probability that a student from University B will score less than 450?

Math   Statistics-And-Probability   
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Answer #1

a) Suppose that on a certain examination in advanced mathematics, students from University A achieve scores that are normally distributed with a mean of 625 and a variance of 100 and standard deviation = √(100) = 10

We want to find, P(X > 725)

Therefore, required probability is 0.0000

b) Given that, students from University B achieve scores which are normally distributed with a mean of 600 and a variance of 150 and standard deviation = √(150) = 12.2474

We want to find, P(X < 450)

Therefore, required probability is 0.0000

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