×
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.1 - Problem 12e
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.1 - Problem 12e

×

# In the transmission of digital information, the

ISBN: 9781118539712 55

## Solution for problem 12E Chapter 5.1

Applied Statistics and Probability for Engineers | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Applied Statistics and Probability for Engineers | 6th Edition

4 5 1 334 Reviews
19
3
Problem 12E

Problem 12E

In the transmission of digital information, the probability that a bit has high, moderate, or low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion of the three transmitted, respectively. Determine the following:

Step-by-Step Solution:

Step 1 of 4

(a)

Let  denote the number of bits with high and moderate distortion of three transmitted, respectively.

We are asked to find the probability that two bits have high distortion and one has moderate distortion.

We have given

A number of possible combinations in which two bits have the high distortions can be selected is  from the three bits.

Hence we can write,

Where

Hence the probability that two bits have high distortion and one have moderate distortion is

Step 2 of 4

Step 3 of 4

#### Related chapters

Unlock Textbook Solution