For a certain normal distribution the first moment about 10 to 40 and the fourth moment about 50 is 48. What are the mean and variance ? Find also (i) P(X < 45), (ii) P(X 2 45), (ii) P(46 <X < 48), (iv) P(54 s Xs 56) Hint: (given first moment about 10 is 40, a=10, µ', = 40 Mean u = u', +a = 50 and fourth moment u'=48 we know that by properties of moment l4 = u'4 = 3σ^4, σ= 2)
Share
0 Replies