(Answered) Find the indicated probabilities1 a random sample of size n

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Find the indicated probabilities.

1. A random sample of size n = 100 is obtained from a population with µ = 1200 and σ = 250. Find the probability that the sample mean will lie between 1200 and 1250.

2. IQ scores for adults are normally distributed, with mean µ = 100 and standard deviation σ = 15. If a random sample of 16 adults is selected, find the probability that the average IQ score in the sample will be at least 92.5.

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