- #1

nontradstuden

- 54

- 0

## Homework Statement

I'm given the pdf and asked to find F(y)/ cdf. I've calculated it many times, but I'm not getting the right numbers. the pdf is

f(y)= .5, ....-2≤y≤0

.75-.25y,...1≤y≤3

0,...elsewhere

so that means

f(y)= 0,...y< -2

0.5, ...-2≤y≤0

0,...0<y<1

.75-.25y,...1≤y≤3

0,... y>3

right?

So, my CDF is

F(y)= c1,...... y<-2

.5y +c2,..... -2≤y≤0

c3, .......0<y<1

.75y- .125y^2+ c4,... 1≤y≤3

c5,.........y>3

so, I found the constants, but I'm not getting c5=1.

0=c1=.5y+c2 at y=-2

so 1=c2.5y+1=c3 at y=0

so 1=c31=c3=.75y- .125y^2+ c4 at y=1

1= .75- .125+ c4

1-.625= .375=c4.75y-.125y^2+ .375= c5 at y=3

.75*3 -.125(9) +.375= c5

2.25 - 1.125 + .375= 1.5=c5≠1I don't know where I'm going wrong. Could you show me?? -_- Much thanks.I hope this is legible...