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.
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.