Question

An industrial psychologist administered a personality inventory test for passive-aggressive traits to 150 employees. Individuals were given a score from 1 to 5, where 1 was extremely passive and 5 extremely aggressive. A score of 3 indicated neither trait. Construct a probability distribution for the random variable x. Score, xFrequency, j 24 42 30 21 4

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Solution: To find the probability distribution for the random variable x , we have to use the below formula:

P(x)=\frac{f}{\sum f}

The probability distribution of random variable x is given in below table:

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