The weight in pounds of people in a certain population has a normal distribution, with a mean of 150 and standard deviation of 40. Of the people who weigh over 170 lbs, what percent weigh more than 200? (using conditional probability)
To do this, I calculated the probability P(x>170) ==> .3085 (using normal distribution) Using the conditional probability formula P( x>200 | x>170) = P( x>200 AND x>170) / P(x>170)
*Here it seems like P(x>200 and x>170) is equal to P(x>200) -- is this wrong to assume?
I'm not sure how to come up with P(x>200 and x>170) -- sticking to formulas, are these events dependent?
Any insights are greatly appreciated. Thanks for your time!