let y have the density function given by:

f(y)=0.2 for -2<y<0

=0.2+cy, 0<y<1

=0, elsewhere

a) find c

b) find f(y), the distribution function of the random variable y

c) sketch the graphs of f(y) and f(y)

d) use f(y) to find f(-1),f(0) and f(1)

e) find p(0<y<0.5)

f) find p(y>0.5/y>0.1)