My books and notes fail me , i would greatly appreciate help and explanation of the following problems.
a)
The PDF of a continuous random variable, (X) is shown below:
f(x) = ke-2x, x > 0,
f(x) = 0, otherwise.
(i)Calculate the value of the constant, k.
(ii)Find P(1 £ X £ 2).
b)
The PDF of a continuous random variable, (X), is shown below:
f(x) = cx-1/2, 0 < x < 9,
f(x) = 0, otherwise.
(i)Calculate the value of the constant, c.
(ii)Find the expected value of X.
(iii)Find the value of the variance of X.
Thanks!
Thankyou very much for what you have done, i am starting to understand it much better now.
I am however doing integration for the 1st time, and im not sure how to correctly solve and display my workings from start to finish.
Could you explain the proper method?
Thanks again!
I havent got any workings, i dont know where to start.
I have notes covering examples of CRV's but nothing in my notes, slides or books explains how to deal with constants, especially 2 of them and a negative exponent...
(the correct notation - copy and paste ruined the above)
f(x) = ke-2x
and
f(x) = cx-1/2
I understand a little that integration is like a reverse of differentiation, my maths skills are pretty basic and this stuff can be hard to crack the 1st time round. If you could explain what the formulas you added mean that would be so much help, thanks!