SOC315-2024111718-50-54-3552
.docx
School
The American School of Dubai**We aren't endorsed by this school
Course
SOC 315
Subject
Statistics
Date
Dec 23, 2024
Pages
2
Uploaded by CountHippopotamus8747
Here are five unique multiple-choice questions that involve the Law of Probability and expected outcomes, along with their solutions:### Question 1:A fair six-sided die is rolled. What is the expected value of the outcome?A) 2 B) 3.5 C) 4 D) 5 **Solution:**The expected value (E) of a fair die is calculated by taking the average of all possible outcomes:\[E = \frac{1 + 2 + 3 + 4 + 5 + 6}{6} = \frac{21}{6} = 3.5\]**Answer: B) 3.5**---### Question 2:A bag contains 3 red, 2 blue, and 5 green marbles. If one marble is drawn at random, what isthe expected number of red marbles drawn?
A) 0.3 B) 0.5 C) 0.6 D) 1.2 **Solution:**Total marbles = 3 (red) + 2 (blue) + 5 (green) = 10 marbles.The probability of drawing a