Complete the answers to the following questions 1. Many stores run \"secret sale

Question

Complete the answers to the following questions 1. Many stores run "secret sales'. They give out a card where you scratch off the covering to determine what discount you will received after you take your merchandise to the register. The store is required to give the distribution of discounts so they put it in small print. Which of the distributions below is plausible based on what you know about probabilitf? Remember probability can only be a value between 0 and 1 and for an entire set of probabilities they must equal 1 Probabilities of 10% | 50% off 20% off | 2 3 10 25 0 30% off 2 05 .25 0 05 -.25 0 80 75

Explanation / Answer

Answer to question# 1)

For distribution A we got : 0.2+0.2+0.2+0.2 = 0.8 is not equal to 1

The sum of all probabilites cannot be less than 1

Hence it is a plausible distribution

.

For distribution B : 0.5+0.3+0.2+0.1 = 1.1 is more than 1 ,

The sum of all probabilities cannot be more than 1

hence again this is a plausible distribution

.

For distribution C, we got :All the probability values are positive

the sum of the probability values = 0.8+0.1+0.05+0.05 = 1

Hence this is the correct probability distribution

.

For distribution D, we got one value of probability as -0.25

Probability value can never be negative

Hence it is a plausible distribution

.

For distribution E, we got :

probability values as 1 and 0 , these are correct values , since the value of probability lies between 0 and 1 , both the values inclusive

The sum of these probability values = 1+0+0+0 = 1

Hence the add up to 1, which is correct

Thus this distribution of probability is correct

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