**Using Probability Distributions**When studying probability distributions, it's important to be able to calculate various probabilities and expected values. Consider the following example, where you are asked to use a specific probability distribution to find detailed probabilities and the expected value.### Example Calculation:Given the probability distribution 'P(C)', answer the following questions:1. **Probability of Getting a Specific Value**: - **c**) \( P(C = 6) = 0.2074 \)2. **Probability of Getting at Least a Certain Value**: - **d**) \( P(C \text{ is at least } 4) = 0.0222 \)3. **Probability of Getting No More Than a Certain Value**: - **e**) \( P(C \text{ is no more than } 7) \) = [To be filled]4. **Probability of Falling Within a Range (Inclusive)**: - **f**) \( P(4 \le C \le 7) \) = [To be filled]5. **Probability of Falling Within a Range (Exclusive)**: - **g**) \( P(2 < C \le 5) \) = [To be filled]6. **Expected Value**: - **h**) What is the expected crew size? \( E(C) \) = [To be filled]These calculations help in understanding the behavior of a random variable. The probability \( P(C = 6) \) tells us the likelihood of the variable taking the value 6, while \( P(C \text{ is at least } 4) \) tells us the likelihood that the variable is 4 or greater. Determining the expected value \( E(C) \) gives us an average or 'expected' value of the random variable over numerous trials.**Note**: Make sure to complete the remaining fields with the provided probability distribution information. If any information is missing, you can use the principles of probability distribution to estimate or deduce the values. ---### Probability Distribution for a Random Variable#### b) Create a probability distribution for the random variable C| C = c | P(C = c) ||-------|----------|| 2 | 0.0296 || 4 | 0.0222 || 5 | 0.2667 || 6 | 0.2074 || 7 | 0.4667 || 8 | 0.0074 || Total | 1.0000 |#### Use your probability distribution to find:c) P(C = 6) = 0.2074d) P(C is at least 4) = 0.0222e) P(C is no more than 7)---

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Description: **Using Probability Distributions**When studying probability distributions, it's important to be able to calculate various probabilities and expected values. Consider the following example, where you are asked to use a specific probability distribut

From the give information, Consider, probability distribution table: C=c P (C=c) 2…

Answered: b) Create a probability distribution…

Math

Statistics

b) Create a probability distribution for the random variable C

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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