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Chapter 3: Q20E (page 117)

In Exercise 13 of Sec. 3.2, draw a sketch of the c.d.f. F(x)of X and findF (10)

Short Answer

Expert verified

The value F (10) is 0.225

Step by step solution

01

Drawing the graph for the cdf F(x)  

Steps to draw the graph

  1. Taking random variable X on x-axis with the range of 5
  2. Take the cdf F (x) on y-axis with range 0.02
  3. From exercise 13 of sec 3.2 the cdf is equal to 0.0045x2/2 for 0<x<20
  4. Plot the graph for the x vs F (x)

02

Calculating the value of F(10) 

From the given graph of cdf and random variable.

The value of F(10) =0.225

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Most popular questions from this chapter

Suppose that the joint distribution of X and Y is uniform over the region in the\({\bf{xy}}\)plane bounded by the four lines\({\bf{x = - 1,x = 1,y = x + 1}}\)and\({\bf{y = x - 1}}\). Determine (a)\({\bf{Pr}}\left( {{\bf{XY > 0}}} \right)\)and (b) the conditional p.d.f. of Y given that\({\bf{X = x}}\).

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