Question

Below is the number of pages in each of the ten books that Thomas read this summer: 384,201,255,44, 312, 334, 273,423, 389,93. We will create 3 bins of width 150, such thato=0.21 = 150.2 = 300. and as = 450. Determine the empirical histogram. 1) f.(z) = 2) f(x) = 3) 4) A histogram is an estimate of a O probability density function distribution function expected value ticam

Answer 1

We prepare the following frequency distribution:

Class Frequency

0-150 2

150-300 3

300-450 5

Here n=10, h=150

Then

1)f1.hat(x)=2/(10*150)=1/750=0.00133 for 0<x<150

2) f2.hat(x)=3/(10*150) =1/500=.002 for 150<x<300

3) f3.hat= 5/(10*150) =1/300=0.00333 for 300<x<450

A histogram is an estimate of density function.(second option is true)