An important factor in solid missile fuel is the particle size distribution. Significant probs occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometers) distribution is characterised by :
f(x) = 3x (to the power of -1/4) , x>1,
a) Verify that this is a valid density function.
b) Evaluate F(x)
c) What is the probability that a random particle from the manufactured fuel exceeds 4 micrometers?
a) How do I verify ?
b) I integrate 3x (to the power of -4) from 0 to 1 to dx.
but it is wrong.
[if i got a) and b) , i shld be able to do c) which I think is P (x>4) ]