In a class of 50 students, every student took a certain a test which was out of 100 marks. Among all the students, 40% of them got 80, 30% of them got 72, 20% of them got 61 and rest of them got 53 marks. i. What is the expected mark of a student taking that test? ii.What is the expected mark of a student if he/she takes the test thrice?

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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In a class of 50 students, every student took a certain a test which was out of 100 marks. Among all the students, 40% of them got 80, 30% of them got
72, 20% of them got 61 and rest of them got 53 marks.
i. What is the expected mark of a student taking that test?
ii.What is the expected mark of a student if he/she takes the test thrice?
iii.What is the variance of marks of a student?
Transcribed Image Text:In a class of 50 students, every student took a certain a test which was out of 100 marks. Among all the students, 40% of them got 80, 30% of them got 72, 20% of them got 61 and rest of them got 53 marks. i. What is the expected mark of a student taking that test? ii.What is the expected mark of a student if he/she takes the test thrice? iii.What is the variance of marks of a student?
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