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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 for a discrete random variable x 22 24 25 30 33 37 PX 016 009 018 012 024 021 What is the mean of this di class=

Respuesta :

Edufirst

Answer:

  • Option C. 29.47

Explanation:

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

        [tex]E(X)=\sum\limits^n_i {x_i}\cdot P(x_i)[/tex]

Using the data from the table:

[tex]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[/tex]

Computing:

         [tex]E(X)=3.52+2.16+4.50+3.60+7.92+7.77=29.47[/tex]

jadonlemmonds

Answer:

29.47, or option C.

Step-by-step explanation:

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