Let f(x)=1/9 x^2 if x lies in the interval (0,3) and 0 otherwise. 1.Calculate P(0<X<2) 2.What is the expected value of X?

2017-10-16 4:51 pm

回答 (1)

2017-10-16 6:36 pm
✔ 最佳答案
Sol
(1)
P(0<X<2)=∫(0 TO 2)_x^2/9dx
=x^3/27|(0 to 2)
=8/27
(2)
EX=∫(0 TO 3)_x*x^2/9dx
=x^4/36|(0 to 3)
=81/36
=9/4


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