Solved: What is the standard deviation of probability distribution, Basic Statistics

What is the standard deviation of probability distribution

Discuss the below:

Suppose the probability distribution for the high temp in Nevada on June 1 is normally distributed with a mean of 65 degrees. If a box plot was made it would have an IQR = 20 degrees.

Q1. What's the standard deviation of that probability distribution?

Q2. Find the probability that June 1sts temp is in the 70s.

Q3. If the high temp for June 1, 2, 3 all have the same probability distribution and are statistically independent, what's the probability that high temps for that period will be in the 70s every day?

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