The current in a certain circuit as measured by an ammeter is

a continuous random variable X with the following density

function:


f(x) = {.75x + .2 | 3=

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function: f(x) = .75x + .2 3= class=

Verified Answer :

caylus

Hello,

a) see the image

f(3)=0.0753+0.2=0.425
f(5)=0.075
5+0.2=0.575
f(4)=0.0754+0.2=0.5
f(3.5)=0.4625
f(4.5)=0.5375



b) P(X<=4)=(0.425+0.5)/2
2=0.925
 How does .... I have not understood the question (X and x)
But P(X=4)=0

c)
P(3.5<=X<=4.5)=(0.4625+0.5375)/21=0.5
P(X<=4.5)=(0.425+0.5375)/2
(4.5-3)=0,721875
P(X<=3.5)=(0.425+0.4625)/2*  0.5=0,221875
Rem: P(3.5<=X<=4.5)=P(X<=4.5)-P(X<=3.5)=0.721875-0.221875=0.5

P(X=4.5)=0



View image caylus