Please help me with the following questions

19 BAP For the following density function f (x ) = cxx" ( 1 -X ) : 02x41 find is the value of constant c and (i) the mean. B. El. Ed 2019 " let X be a continuous random variable with probability density function of (x) = 3x, 0 Ex El Find a and b such that; (1, P ( x za ) = P (x>a) (may be ( 1 ) P (x >6 ) = 0.05 based on Normaldid 5Qs. 6 : Find the mean Absolute Deviation ( about mean ) and the S.D of the A.P a , a +d , a + 2d , a +3d , a + 4d .Qs. 8 : The mean & variance of 8 observations was found to be 20 and 5.2 resply . If the additional observations with value 30 & 40 are later included, find the new mean and variance