A large class of 400 students has just taken an exam. The exam consisted of 40 true-false questions each of which was worth one point. A diligent teaching assistant wants to calculate the conditional probability of the number of correct answers (Y) being equal to 30 given the number of incorrect answers (X) being equal to 10.  Calculate P(Y=30|X=10)?

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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A large class of 400 students has just taken an exam. The exam consisted of 40 true-false questions each of which was worth one point. A diligent teaching assistant wants to calculate the conditional probability of the number of correct answers (Y) being equal to 30 given the number of incorrect answers (X) being equal to 10. 

Calculate P(Y=30|X=10)?

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