Hello tutors, can I please get your help with the following Probability question?

1) We are given a random variable X with density function :

()= 125(102), 05

For a, b, and c how would you know which are they Median, 75th percentile or third quartile, First quartile, E(X), F(x), Variance of X, or IQR (interquartile range)

a) 1/25(10²), 05

b) 1.66

c) 0.669873

2) How do you find the constant k that makes the following function a valid density?

()=9(1)2, 01

Which value would k be ?

a. 0.00151

b. 2

c. 660

d. 210