company that manufactures a low-calorie dairy drink wants to determine whether there is preference for the new formula (Formula B) over the standard formula (Formula A). Four judges are asked to drink two glasses in random order, one glass containing Formula A and the other containing Formula B. Each judge is asked which glass they prefer. Based on earlier tests, both formulas are equally preferred. Let Y be the number of judges in the
A company that manufactures a low-calorie dairy drink wants to determine whether there is preference for the new formula (Formula B) over the standard formula (Formula A). Four judges are asked to drink two glasses in random order, one glass containing Formula A and the other containing Formula B. Each judge is asked which glass they prefer. Based on earlier tests, both formulas are equally preferred. Let Y be the number of judges in the current test that prefer the new formula.
1. Which of the following statements is(are) true? (Then, explain why)
A. The success in this experiment is observing four judges who prefer the new formula.
B. A single trial of the experiment corresponds to four judges.
C. Y~Bin(4,0.5)
D. All of the above
2. What is the probability that at least three judges prefer the new formula? (Show solution)
A. 0.0625
B. 0.2500
C. 0.3125
D. 0.5000
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