The p.d.f. of time X to failure of an electronic component is
a) Compute P(X>2000)
b) Determine the 75th percentile, , of the distribution
c) Find the 10th and 60th percentiles, and
For part b, I set the equation up as with limits with but got an answer of 0.000000564, which seems too small to be correct. I tried it also with 75 as my upper limits and got 0.00561, which doesn't seem right either. Can anyone help me figure out what I am doing wrong? Thank you.
When I take the integral, I get the equation . Then taking the ln of both sides leaves . Multiplying both sides by -1000000 gives , so x=536.36? Is this how you would solve for x? I don't know what to do with the -e. That's where I got stuck and was looking for an alternative way to solve the problem. Hopefully I have the right idea. Thank you.