3 Let X be the number of siblings of WSU students. The pdf of X is: f(x) = (5-x)/15 for x = 0, 1, 2, 3, 4 What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child O X 0.133 X 0.2 / 0.3 X 0.667 X 0.933
3 Let X be the number of siblings of WSU students. The pdf of X is: f(x) = (5-x)/15 for x = 0, 1, 2, 3, 4 What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child O X 0.133 X 0.2 / 0.3 X 0.667 X 0.933
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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![**Problem 3: Probability of Siblings for WSU Students**
Let \( X \) be the number of siblings of WSU students. The probability distribution function (pdf) of \( X \) is defined as:
\[ f(x) = \frac{5-x}{15} \]
for \( x = 0, 1, 2, 3, 4 \).
**Question:**
What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child?
**Options:**
- \( \textcolor{red}{\text{✗}} \) 0.133
- \( \textcolor{red}{\text{✗}} \) 0.2
- \( \textcolor{green}{\text{✓}} \) 0.3
- \( \textcolor{red}{\text{✗}} \) 0.667
- \( \textcolor{red}{\text{✗}} \) 0.933
The correct answer to this problem is 0.3, as indicated by the checkmark next to option 0.3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09fcf446-1afb-4b15-acb5-39347ac88924%2Fcad479c3-38b4-4fec-a3b4-39f1d2e8a979%2Fbqx40r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3: Probability of Siblings for WSU Students**
Let \( X \) be the number of siblings of WSU students. The probability distribution function (pdf) of \( X \) is defined as:
\[ f(x) = \frac{5-x}{15} \]
for \( x = 0, 1, 2, 3, 4 \).
**Question:**
What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child?
**Options:**
- \( \textcolor{red}{\text{✗}} \) 0.133
- \( \textcolor{red}{\text{✗}} \) 0.2
- \( \textcolor{green}{\text{✓}} \) 0.3
- \( \textcolor{red}{\text{✗}} \) 0.667
- \( \textcolor{red}{\text{✗}} \) 0.933
The correct answer to this problem is 0.3, as indicated by the checkmark next to option 0.3.
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