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A die is a six-sided cube with sides labeled with 1, 2, 3, 4, 5, or 6 dots. The die is a “fair” die if when rolled, each outcome is equally likely. Therefore, the probability that it lands on “1” is 1/6, If a fair die is rolled 360 times, we would expect it to land as a “1” roughly 60 times. Let x represent the number of times a “1” is rolled. The inequality
a. Solve the inequality and interpret the answer in the context of this problem
b. If the die is rolled 360 times, and a “1” comes up 30 times, does it appear that the die is a fair die?
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