Q4: The random variable X has the probability distribution shown 1. 3 4 P(X = x) 7c 5c 4c 3c (1) Find c and then evaluated each value of P(x) (2) Calculate the expected value, the variance and the standard deviation of the random variable X.

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A:

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A: The expected value of x can be obtained as:

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A: There is slightly mistake in the probability distribution.  It should be, P(X=x) = 3x14x343-x Which…

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A: Given See the handwritten solution

Q: 10. Consider the random variable X whose probability distribution is given below: X Pr(X = x) 1 2 2k…

A:

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

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A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.