I feel like I should be able to do this but I feel absolutely lost.
Assume that the weight, X, of male college students is normally distributed. Assume further that P(X <= 160) = 1/2 and P(X <= 140) = 1/4.
a.) What find the value of 'mu' and 'sigma'
b.) Calculate P(X >= 190)
c.) Calculate what percentage of students who weigh over 190 pounds will weigh more than 200 pounds.
I think b and c should be simple enough once I have mu and sigma but how do I get those? Any help would be appreciated.