Applied Managerial Statistics-HERNANDEZ Melody Terry&9r30r18 9:42 AM Quiz: Week

Question

Applied Managerial Statistics-HERNANDEZ Melody Terry&9r30r18 9:42 AM Quiz: Week 5: MyStatLab Quiz Time Remalning: 01:57 47 Submi Quiz This Question: 3 pts This Quiz: 60 pts possible 3 032 Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. Yes, because the distribution is symmetric O B. No, because the total probability is not equal to 1 No, because some of the probabilities have values greater than 1 or les than o. O D. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. Click to select your a End PrtScn

Explanation / Answer

Solution :

To determine whether the distribution is a discrete probability distribution.

We know that a distribution is a discrete probability distribution iff ,

For the above distribution given , we can clearly see that , the probabilities for different values of x lie between 0 and 1 , but the total probability that is the sum of the probabilities is greater than 1. That is , 0.20 + 0.32 + 0.50 + 0.32 + 0.20 = 1.54 (which is greater than 1).

Thus, it is not a discrete probability distribution distribution. The correct answer is ,

(B) No, because the total probability is not equal to 1.......................................(Ans)

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x (Values) p(x) (Probability) 0 0.20 1 0.32 2 0.50 3 0.32 4 0.20 Total Probability 1.54 ( > 1 )

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