MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Probability Distributions Analysis** Given the probability distributions shown to the right, complete the following parts: ### a. Compute the expected value for each distribution. ### b. Compute the standard deviation for each distribution. ### c. What is the probability that x will be at least 3 in Distribution A and Distribution B? ### d. Compare the results of distributions A and B. **Distribution A:** \[ \begin{array}{|c|c|} \hline x_i & P(X = x_i) \\ \hline 0 & 0.02 \\ \hline 1 & 0.08 \\ \hline 2 & 0.16 \\ \hline 3 & 0.24 \\ \hline 4 & 0.50 \\ \hline \end{array} \] **Distribution B:** \[ \begin{array}{|c|c|} \hline x_i & P(X = x_i) \\ \hline 0 & 0.50 \\ \hline 1 & 0.24 \\ \hline 2 & 0.16 \\ \hline 3 & 0.08 \\ \hline 4 & 0.02 \\ \hline \end{array} \]
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Transcribed Image Text:**Probability Distributions Analysis** Given the probability distributions shown to the right, complete the following parts: ### a. Compute the expected value for each distribution. ### b. Compute the standard deviation for each distribution. ### c. What is the probability that x will be at least 3 in Distribution A and Distribution B? ### d. Compare the results of distributions A and B. **Distribution A:** \[ \begin{array}{|c|c|} \hline x_i & P(X = x_i) \\ \hline 0 & 0.02 \\ \hline 1 & 0.08 \\ \hline 2 & 0.16 \\ \hline 3 & 0.24 \\ \hline 4 & 0.50 \\ \hline \end{array} \] **Distribution B:** \[ \begin{array}{|c|c|} \hline x_i & P(X = x_i) \\ \hline 0 & 0.50 \\ \hline 1 & 0.24 \\ \hline 2 & 0.16 \\ \hline 3 & 0.08 \\ \hline 4 & 0.02 \\ \hline \end{array} \]
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