Heights of males are norm. dist. w/ u=180cm and o^2=16cm^2 while female heights have u=170cm and o^2=25cm^2.

a)random male and female selected. What is the probability that the male is >5 cm taller? What is the distribution avg of the 2 heights?
b)what is the distribution of the avg of the 2 heights?

Answering as much as possible would be amazing! :)

4 answers

Proofread your questions before you post them.

Even as the variance, height is a linear dimension and is not squared.
I know it's just a linear dimension, I'm just assuming it's my prof's mistake (as he squared the sd to get variance). I simply copied directly from the paper.
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