There is a chance that a bit transmitted through a digital transmission channel is received in error. Let the random variable X equal the number of bits in error in the next four bits transmitted. The probability distribution is given below: x01234p(x)0.45610.33160.14670.0620.0036 Confirm the above represents a valid discrete probability function.Calculate the mean and standard deviation of the discrete probability function. The continuous random variable X denotes the diameter of a hole drilled in a sheet metal component. The target diameter is 12.5 millimetres. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modelled by a probability density function: If a part with a diameter larger than 12.64 millimetres is scrapped, what proportion of parts is scrapped? What proportion of parts lie between 12.5 and 12.64 millimetres?

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Answered: There is a chance that a bit…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

There is a chance that a bit transmitted through a digital transmission channel is received in error. Let the random variable X equal the number of bits in error in the next four bits transmitted. The probability distribution is given below:

x	0	1	2	3	4
p(x)	0.4561	0.3316	0.1467	0.062	0.0036

The continuous random variable X denotes the diameter of a hole drilled in a sheet metal component. The target diameter is 12.5 millimetres. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modelled by a probability density function: