1. Sampling Individuals Assume the machine shifts and the distribution of the amount of the compound added now has a mean of 9.96 milligrams and a standard deviation of 0.05 milligram. You select one vial and determine how much of the compound was added. (a) What is the probability that you select a vial that is within the acceptable range (in other words, you do not detect that the machine has shifted)? (See figure.) (b) You randomly select 15 vials. What is the probability that you select at least one vial that is within the acceptable range?

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1. Sampling Individuals
Assume the machine shifts and the distribution of the amount of the
compound added now has a mean of 9.96 milligrams and a standard
deviation of 0.05 milligram. You select one vial and determine how
much of the compound was added.
(a) What is the probability that you select a vial that is within the
acceptable range (in other words, you do not detect that the
machine has shifted)? (See figure.)
(b) You randomly select 15 vials. What is the probability that you
select at least one vial that is within the acceptable range?
Transcribed Image Text:1. Sampling Individuals Assume the machine shifts and the distribution of the amount of the compound added now has a mean of 9.96 milligrams and a standard deviation of 0.05 milligram. You select one vial and determine how much of the compound was added. (a) What is the probability that you select a vial that is within the acceptable range (in other words, you do not detect that the machine has shifted)? (See figure.) (b) You randomly select 15 vials. What is the probability that you select at least one vial that is within the acceptable range?
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