Mathematics: The following table shows the probability distribution for a discrete random variable. x | 22 | 24 | 25 | 30 | 33 | 37 P(X) 0.16 0.09 0.18 0.12 0.24 0.21 What is the mean of this discrete random variable? That is, what is E(X), the expected value of X? O A. 30.27 O B. 27.5 O C. 29.47 O D. 28,5

The following table shows the probability distribution

joemoe15jr

19.01.2022

Option C. 29.47

Explanation:

The expected value, E(X) or mean of a discrete random variable is given by:

$E(X)=\sum\limits^n_i {x_i}\cdot P(x_i)$

Using the data from the table:

$E(X)=22\times 0.16+24\times 0.09+25\times 0.18+30\times 0.12+33\times 0.24+37\times 0.21$

Computing:

E(X)=3.52+2.16+4.50+3.60+7.92+7.77=29.47

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cocoarockford

19.01.2022

29.47, or option C.

Step-by-step explanation:

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mulan5446

08.04.2020

D is the final answer :)))

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