Now a Derive the CDF from the PDF This will involve antidiff

Now

a) Derive the CDF from the PDF. This will involve anti-differentiation. And you have to worry about the constant of integration and solve for it (somehow)

b) Let ? = 4.56, compute P (T ? [0, 1]) using integration on the PDF.

c) Let ? = 4.56, compute P (T ? [0, 1]) using a difference of CDF values.

d) What theorem describes why the last two problems should be equal? Write the statement of this theorem below.

e) Let ? = 4.56, what is P (T = 1) using the integral definition of probability?

f) Let’s say ? = 2, what is E [T ]? Pretend the unit of time is seconds.  

Solution