Respuesta :
Answer:
The answer is D.35.5 got it right on plato
Step-by-step explanation:
The expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5
How to find the mean (expectation) and variance of a random variable?
Supposing that the considered random variable is discrete, we get:
[tex]\text{Mean} = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values
and [tex]f(x_i)[/tex] is the probability of [tex]X = x_i[/tex]
The probability distribution of Y is given as:
Y = y f(y) = P(Y = y)
10 0.10
20 0.25
30 0.05
40 0.30
50 0.20
60 0.10
Thus, the expectation (also called expected value) of y is calculated as:
[tex]E(Y) = \sum_{\forall y_i} f(y_i)y_i \\\\E(Y) = 10 \times 0.1 + 20\times 0.25 + 30 \times 0.05 + 40 \times 0.3 + 50 \times 0.2 + 60 \times 0.1\\\\E(Y) = 1 + 5 + 1.5 + 12 + 10 + 6 = 35.5[/tex]
Thus, the expected value of the random variable y found from its given probability distribution is given by: Option D: 35.5
Learn more about expectation of a random variable here:
https://brainly.com/question/4515179
