7. Consider the probability distribution:| X | 0 | 1 | 2 | 3 ||-----|----|----|----|----|| P(X)| .3 | .2 | p | .4 |a. What is the missing value, $ p $?b. Draw a bar graph for the probability distribution.**Explanation:**To find the missing value $ p $, remember that the sum of all probabilities in a distribution must equal 1. Therefore, \[ 0.3 + 0.2 + p + 0.4 = 1 \]This simplifies to \[ p = 1 - 0.9 = 0.1 \]**Bar Graph Description:**- The x-axis of the bar graph represents the random variable $ X $ with values 0, 1, 2, and 3.- The y-axis represents the probability $ P(X) $.- Each value of $ X $ has a corresponding bar: - For $ X = 0 $, the height of the bar is 0.3. - For $ X = 1 $, the height of the bar is 0.2. - For $ X = 2 $, the height of the bar is 0.1. - For $ X = 3 $, the height of the bar is 0.4.

Probability mass function of X is x0123P(x)0.30.2p0.4

Answered: Consider the probability distribution:…

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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Instructions: Find the missing probability. P(B) = P(A/B) = 20P(A and B)
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Consider the probability distribution: X P(X) 0 3 a. What is the missing value, p? b. Draw a bar graph for the probability distribution.