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Introduction to preparation for expected value of y exam:

In this topic we will discuss about preparation for expected value of y exam 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 preparation for expected value of y exam:

The following formula for preparation for expected value of y exam which is used to calculate expected value for discrete random variable shows given below.

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

y = discrete random variable

P(y) = probability distribution

Example problems for preparation for expected value of y exam:

Preparation for expected value of y exam - Example 1:

1) Evaluate the expected value for the discrete chance variable (1/21). Where y is begin from 0 to 4.

Solution:

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

E(y) = sum yi P(yi)

E(y) = 0 (1/21) + 1 (1/21) + 2 (1/21) + 3(1/21) + 4(1/21)

E(y) = 0 + 0.0476 + 0.0952 + 0.1428+ 0.1904

E(y) = 0.476

The Expected value is: 0.476

Preparation for expected value of y exam - Example 2:

2) Evaluate the expected value for the discrete possibility variable. (1/10). Where y value starting from 1 to 6.

Solution:

Expected value is recognized for the discrete chance variable by using the following formula,

E(y) = sum yi P...

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