A small inn has 4 rooms. Let X represent the number of rooms that are rented out on any given Saturday. The following table describes the probability distribution of X. What is the probability that over half the rooms will be rented out next Saturday? P(X > 2) = ### Probability Distribution Table for Random Variable XThis table presents the probability distribution of a discrete random variable \(X\). Each value of \(X\) is associated with a specific probability, which indicates how likely that value is to occur.| **Value of \(X\)** | 0 | 1 | 2 | 3 | 4 ||---------------------|-----|-----|-----|-----|-----|| **Probability** | 0.05 | 0.24 | 0.33 | 0.26 | 0.12 |#### Explanation of Table Columns:- **Value of \(X\)**: This row lists the possible values that the random variable \(X\) can take, ranging from 0 to 4.- **Probability**: This row shows the probability of each corresponding value of \(X\) occurring.#### Interpretation:- The value \(X = 2\) has the highest probability of occurring, which is 0.33 or 33%.- The value \(X = 0\) has the lowest probability of occurring, which is 0.05 or 5%.- The probabilities of all possible values of \(X\) add up to 1, ensuring that this is a valid probability distribution.This distribution can help in various statistical analyses, such as determining the expected value or variance of the random variable \(X\). Understanding how likely each outcome is can be crucial in fields like data science, economics, and risk management.

Name: A small inn has 4 rooms. Let X represent the number of rooms that are
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A small inn has 4 rooms. Let X represent the number of rooms that are rented out on any given Saturday. The following table describes the probability distribution of X. What is the probability that over half the rooms will be rented out next Saturd