Question

1. at a local department store, each shopper receives a scratch - off card that shows one of the following discounts: 5%, 10%, 20%, 30%, or 40%. the probability model given below shows the chances of receiving each type of discount. what is the probability that a randomly selected shopper receives a discount that is no less than 10% and no greater than 20%?

a. 0.22
b. 0.34
c. 0.56
d. 0.40
e. 0.76

Explanation:

Step1: Identify the relevant discounts

The discounts that are no less than \(10\%\) and no greater than \(20\%\) are \(10\%\) and \(20\%\).

Step2: Find the sum of their probabilities

We add the probabilities of \(10\%\) and \(20\%\) discounts. Using the formula \(P = P(10\%)+P(20\%)\).
Substitute \(P(10\%) = 0.22\) and \(P(20\%)=0.34\) into the formula: \(P=0.22 + 0.34\).

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Answer:

C. \(0.56\)