Question

Consider the density curve plotted below:1.63.24.86.480.050.10.150.20.25XPDF(X)Density CurveFind P(X<1.6) : Find P(X>4.8) :

Answer 1

Given:

There is a density curve given in the question

Required:

We need to find for

`\begin{gathered} P(X<1.6) \\ P(X>4.8) \end{gathered}`

Step-by-step explanation:

Part a

We want to find P(X<1.6)

For this we just need to find the area below the curve until x=1.6, since we have a triangle we can do this:

`P(X<1.6)=(1)/(2)*1.6*0.05=0.04`

Part b

For this case we want to find this probability:

P(X>4.8)

and we can complement rule and we got

`P(X>4.8)=1-P(X<4.8)=1-(1)/(2)*4.8*0.15=0.64`

Final answer:

0.04

0.64