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4. What is the expected number of classes a student will take in a given semester?

4. What is the expected number of classes a student will take in a given semester?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question:** What is the expected number of classes a student will take in a given semester? *Explanation for Educational Website:* This question aims to determine the typical course load for a student during a semester. It assists in understanding workload expectations and planning academic schedules effectively. Depending on the academic program and institutional guidelines, the standard number of classes can vary. Typically, a full-time undergraduate student might enroll in 4 to 6 courses, while graduate programs can have different structures.
Transcribed Image Text:**Question:** What is the expected number of classes a student will take in a given semester? *Explanation for Educational Website:* This question aims to determine the typical course load for a student during a semester. It assists in understanding workload expectations and planning academic schedules effectively. Depending on the academic program and institutional guidelines, the standard number of classes can vary. Typically, a full-time undergraduate student might enroll in 4 to 6 courses, while graduate programs can have different structures.
**Questions 1-4: Probability Distribution of Classes Taken by a Student** The number of classes (\(X\)) a student takes in a given semester follows the following probability distribution: | Classes (\(X\)) | 0 | 1 | 2 | 3 | 4 | 5 | |-----------------|-----|------|------|------|------|------| | Probability (\(P(X)\)) | 0.4 | 0.25 | 0.15 | 0.08 | 0.02 | ??? | - The values for \(X\) range from 0 to 5, representing the number of classes a student might enroll in. - The probabilities for each corresponding \(X\) value are provided, except for \(X = 5\), which is currently unknown. - The probability for each \(X\) is denoted as \(P(X)\) and must sum up to 1 for a valid probability distribution. The table illustrates a discrete probability distribution where the likelihood of a student taking more than four classes decreases significantly. The missing probability for \(X = 5\) can be determined by ensuring the sum of all probabilities equals 1.
Transcribed Image Text:**Questions 1-4: Probability Distribution of Classes Taken by a Student** The number of classes (\(X\)) a student takes in a given semester follows the following probability distribution: | Classes (\(X\)) | 0 | 1 | 2 | 3 | 4 | 5 | |-----------------|-----|------|------|------|------|------| | Probability (\(P(X)\)) | 0.4 | 0.25 | 0.15 | 0.08 | 0.02 | ??? | - The values for \(X\) range from 0 to 5, representing the number of classes a student might enroll in. - The probabilities for each corresponding \(X\) value are provided, except for \(X = 5\), which is currently unknown. - The probability for each \(X\) is denoted as \(P(X)\) and must sum up to 1 for a valid probability distribution. The table illustrates a discrete probability distribution where the likelihood of a student taking more than four classes decreases significantly. The missing probability for \(X = 5\) can be determined by ensuring the sum of all probabilities equals 1.
Expert Solution
Step 1

Given that 

Probability mass function of X is 

X 0 1 2 3 4 5
P(X) 0.4 0.25 0.15 0.08 0.02 ?
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