Standard Deviation of a Probability Distribution

Suppose the probabilitydistribution for the high temp in Nevada on June 1 is normally distributed with a meanof 65 degrees. If a box plotwas made it would have an IQR = 20 degrees.

1. What’s the standard deviationof that probability distribution?

2. Find the probability that June 1st temp is in the 70s.

3. 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?

Would you show your work so I can follow how you determined the answers?

(1) SD = IQR/1.35 = 20/1.35 = 14.81

(2) z = (x- mu)/SD = …

A Complete, Neat and Step-by-step Solution is provided.