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Introduction to study positive expected value:

In this topic we will discuss about study positive expected value for discrete random variable and some exam questions. Expected value is the fundamental thought in probability, in a sense more general than probability itself. The expected value of a real-valued possibility variable offers a compute of the center of the distribution of the variable. More significantly, by taking the expected value of various functions of a common random variable, we can calculate a lot of interesting features of its distribution, including spread and correlation.

Formula for study positive expected value:

The following formula for study positive expected value which is used to compute expected value for discrete random variable shows given below.

Expected value E(x) = sum (xi. P (xi))

x = discrete random variable

P(x) = probability distribution

Example problems for study positive expected value:

Study positive expected value - Example 1:

1) Evaluate the expected value for the discrete chance variable (1/18). Where x is begin from 0 to 4.

Solution:

Expected value is recognized for the discrete possibility variable by utilize the formula,

E(x) = sum xi P (xi)

E(x) = 0 (1/18) + 1 (1/18) + 2 (1/18) + 3(1/18) + 4(1/18)

E(x) = 0 + 0.0555 + 0.1111 + 0.1666 + 0.2222

E(x) = 0.5554

The Expected value is: 0.5554

Study positive expected value - Example 2:

2) Evaluate the expected value for the discrete possibility variable. (1/2). Where x value starting from 1 to 6.

Solution:

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