Please provide detailed solution with explanation and justification for each part asap Problem 5:'nts)5% of an electric bulb production run is defective.5.1 Define the random variable for the event “the i-th bulb is defective" and give the distribution of the randomvariable.ints)5.2 A random sample of 3 bulbs is drawn from the production run with replacement. Does this experiment statisfythe conditions for a binomial random variable? Justify your answer in detail.(P oints)5.3 Consider the random variable "total number of defective bulbs in a random sample of n=3" with replacement.Find the probability distribution of the above random variable. (Round your answers to 4 decimal places).ints)5.4 Calculate the expected value and variance of the above random variable.ints)

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

5% of an electric bulb production run is defective. 5.1 Define the random variable for the event "the i-th bulb is defective" and giu variable. 5.2 A random sample of 3 bulbs is drawn from the production run with replaceme the conditions for a binomial random variable? Justify your answer in detail.

5% of an electric bulb production run is defective. 5.1 Define the random variable for the event "the i-th bulb is defective" and giu variable. 5.2 A random sample of 3 bulbs is drawn from the production run with replaceme the conditions for a binomial random variable? Justify your answer in detail.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please provide detailed solution with explanation and justification for each part asap

Problem 5:
'nts)
5% of an electric bulb production run is defective.
5.1 Define the random variable for the event “the i-th bulb is defective" and give the distribution of the random
variable.
ints)
5.2 A random sample of 3 bulbs is drawn from the production run with replacement. Does this experiment statisfy
the conditions for a binomial random variable? Justify your answer in detail.
(P oints)
5.3 Consider the random variable "total number of defective bulbs in a random sample of n=3" with replacement.
Find the probability distribution of the above random variable. (Round your answers to 4 decimal places).
ints)
5.4 Calculate the expected value and variance of the above random variable.
ints)

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