b. Is this a valid probability distribution? Justify briefly. c. What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class d. What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?

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x Prob(x)
   
0 0.7
1 0.08
2 0.07
3 0.04
4 0.106
5 0.004

Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class.

a. Answer the questions below. Do your calculations in the columns to the right of Prob(x). 

b. Is this a valid probability distribution? Justify briefly.

c. What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class

d. What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class? 

Expert Solution
Step 1

The two condition that need to be satisfied for any probability function is :

Statistics homework question answer, step 1, image 1

The probability against each value of x is greater than 0:

The sum of all the probabilities is 1 (0.7 + 0.08+0.07+0.04+0.106 +0.004)

Since, the two condition is satisfied it is a valid probability distribution

 

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