Probability Distribution Of The Random Variable - Mathematics Assignment Help

Assignment Task

I. True or False: Write TRUE if the given states a probability distribution and FALSE if not. 

1. A random variable X has the following values: 1, 2, and 3. Can the following be the values of a probability distribution? Explain why or why not.

a. P(1) = 0.28, P(2) = 0.1, P(3) = 0.72

b. P(1) = , P(2) = , P(3) = 3310313312

c. P(1) = 0.42, P(2) = 0.31, P(3) = 0.37

d. P(1) = 0.7, P(2) = 0.5, P(3) = -0.2

II. Directions: Read and understand the following questions. Solve for what is being asked.

1. A group of 5 will represent your interest club. If there are 6 male students and 4 female students, let X be the RV representing the number of female students,

III. Construct the probability distribution of the random variable. (5 points each) 

2. A pair of dice is rolled. Let X be the RV which is the sum. 

3. The number of participants rating a certain situation as stressful on a 5-point scale from 1 to 5. Let X be the RV which is the rating.

IV. Wrap Up: Answer the following questions: 

1. Why should the sum of the probabilities in a probability distribution always equal to 1?

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