Scenario: Quarters are now manufactured so that they have a mean weight of 5.670 g and a standard deviation of 0.062 g, and their weights are normally distributed. Answer the following probability questions concerning weights of quarters. Note: Probability answers should be rounded to three decimal places. If a probability can not be found with the information presented in the problem, please type NA in the space provided for your answer. Part 1: If 1 randomly selected quarter is inserted into a vending machine that is programmed to accept quarters that weigh between 5.6 g and 5.7 g, what is the probability that it will be accepted? Answer: Part 2: If 10 randomly selected quarters are inserted into the vending machine, use the Central Limit Theorem to determine the probability that their mean weight is between 5.6 g and 5.7 g?
Scenario: Quarters are now manufactured so that they have a mean weight of 5.670 g and a standard deviation of 0.062 g, and their weights are
Note: Probability answers should be rounded to three decimal places. If a probability can not be found with the information presented in the problem, please type NA in the space provided for your answer.
Part 1:
If 1 randomly selected quarter is inserted into a vending machine that is programmed to accept quarters that weigh between 5.6 g and 5.7 g, what is the probability that it will be accepted?
Answer:
Part 2:
If 10 randomly selected quarters are inserted into the vending machine, use the Central Limit Theorem to determine the probability that their mean weight is between 5.6 g and 5.7 g?
Answer:
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