a. If one person is selected at random from this study, what is the probability they purchased a small sized, decaffeinated, coffee? b. What is the probability that a person purchased a regular coffee given that it was medium sized? c. Are the events that a person buys a decaffeinated coffee and a person buys a medium coffee independent? Explain.

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The attached contingency table provides the results from an observational study that counted how many people purchased either a small (S), medium (M), or large (L) decaffeinated (D) or regular (R) cup of coffee at Brian's coffee shop: ``Coffee on Wheels''.

a. If one person is selected at random from this study, what is the probability they purchased a small sized, decaffeinated, coffee?

b. What is the probability that a person purchased a regular coffee given that it was medium sized?

c. Are the events that a person buys a decaffeinated coffee and a person buys a medium coffee independent? Explain.

Small Medium Large
Regular
10
25
20
Decaffeinated
20
10
100
Transcribed Image Text:Small Medium Large Regular 10 25 20 Decaffeinated 20 10 100
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