# expected value of interval normal distribution

Assume Normal distribution with known mean=a and known deviation=s. Now let's create slightly different distribution from this distribution: 1. we assume that all values of new distribution smaller than c become zero, and 2. all values bigger than d become d and 3. all values of the distribution between c and d will stay as normal distribution. What is the expected value of this new distribution.

Answer= [probability of x being less than c]x0+[probability of x being bigger than d]xd+[probability of x being in the interval of c and d]x[expected value].

I just can not calculate only [expected value] which is expected value of the interval. It should be definite integral, however, i am confused with coefficients in front of integral.

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If this is homework, please add the homework tag. Also, what progress have you made on the problem? Where are you stuck? – Dilip Sarwate Jun 17 '12 at 1:56