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Elina [12.6K]
2 years ago
5

Acellus Find the expected value of a random variable x having the following probability distribution. 0 1 2 3 4 5 Probability 1/

8 1/4 3/16 1/4 1/16 1/8 ​

Mathematics
1 answer:
barxatty [35]2 years ago
8 0

Answer:

"2.25" is the right answer.

Step-by-step explanation:

According to the question,

The expected value will be:

= \sum_{i=1}^{n} x_i P(X = x_i)

= 0\times \frac{1}{8}+1\times \frac{1}{4}+2\times \frac{3}{16}+3\times \frac{1}{4}+4\times \frac{1}{6}+5\times \frac{1}{8}

= 0+\frac{1}{4}+\frac{3}{8} +\frac{3}{4}+\frac{1}{4} +\frac{5}{8}

= \frac{1}{4} +\frac{8}{8} +\frac{4}{4}

= \frac{1}{4} +1+1

= 0.25+2

= 2.25

Thus the above is the right approach.

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