Question
The attached table provides five different distributions for the daily demand for loaves of sourdough bread at a local bakery. Identify which distributions are valid discrete probability distributions and which ones are not. Explain. Click the icon to view the probability distributions. Is distribution A a valid probability distribution? Explain. Choose the correct answer below 0 A. B. C. No, because even though each indridual probability is greater than 0, the total probability is less than 1 Yes, because the sum of the probabilities of all outcomes is equal to 1 , and none of the probabilities are greater than 1 or less than 0 No, because the probability of one of the outcomes is less than 0. No, because even though each individual probability is less than 1, the total probability is greater than 1 No, because the probability of one of the outcomes is greater than 1. D. O E. Probability Distributions Daily Demand Probability Distributions A B C D E 0.1 0.0 0.1 0.1 0.1 0.2 0.2 0.1 0.1 0.1 0.2 0.1 0.1 02 0.1 0.2 0.3 0.4 04 0.1 0.5 0.2 02 1.3 02 0.2 0.2 0.1 0.1 02
Explanation / Answer
For discrete distribution 1) all the probabilities are greater than 0
and 2) the sum of all the probabilities are 1
For distribution A the first condition satisfied but second condition is not
because total = 0.1+0.2+0.2+0.2+0.5+0.2 = 1.4 > 1
So correct option of this question is D