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Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 1e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 1e

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# Let Y be a random variable with p(y) given in the table

ISBN: 9780495110811 47

## Solution for problem 1E Chapter 4

Mathematical Statistics with Applications | 7th Edition

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Problem 1E

Problem 1E

Let Y be a random variable with p(y) given in the table below.

a Give the distribution function, F(y). Be sure to specify the value of F(y) for all y,−∞ < y < ∞.

b Sketch the distribution function given in part (a).

Step-by-Step Solution:
Step 1 of 3

Solution 1E

Step1 of 3:

We have random variable Y and it probability values are given below:

 y 1 2 3 4 P(y) 0.4 0.3 0.2 0.1

Here our goal is:

a). We need to give the distribution function, F(y). here the value of F(y) for all y, −∞ < y < ∞.

b). We need to sketch the distribution function given in part (a).

Step2 of 3:

a).

The distribution function of F(y) is given by:

Now,

Step3 of 3:

b).

The graph of the given distribution function is given by:

Step 2 of 3

Step 3 of 3

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