100 written exams are to be graded, with each exam composed of two questions. Kelvin is in charge of grading question one and Richelle is in charge of grading question two. First, Kelvin grades some exams at random; each exam has probability 0.3 of being graded. Next, Richelle randomly grades half of the exams. That is, she grades 50 exams. Assume Kelvin and Richelle make their choices independently. What is the expected value of the number of exams that Kelvin graded?

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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100 written exams are to be graded, with each exam composed of two questions. Kelvin is in charge of grading question one and Richelle is in charge of grading question two. First, Kelvin grades some exams at random; each exam has probability 0.3 of being graded. Next, Richelle randomly grades half of the exams. That is, she grades 50 exams. Assume Kelvin and Richelle make their choices independently. What is the expected value of the number of exams that Kelvin graded?

 
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