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Infinite populations of various characteristics were sampled. Determine the requested probabilities. A population has a mean of 80 and a standard deviation of 7. A

Infinite populations of various characteristics were sampled. Determine the requested probabilities.

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. What is the probability that the mean from that sample will be larger than 82?

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. What is the probability that the mean from that sample will be between 183 and 186?

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. What is the probability that the sample mean will be between 80.54 and 88.9?

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