Question

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 ​

Answer 1

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.