Question

The following is the distribution of a random variable X.

Answer 1

Answer:

$E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2$

And adding the values we got:

$E(X) =0 +0.3 +0.8 +0.6 = 1.7$

So then the expected value for this random variable would be $E(X) =1.7$

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

$E(X) =\sum_{i=1}^n X_i P(X_i)$

And replacing we have:

$E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2$

And adding the values we got:

$E(X) =0 +0.3 +0.8 +0.6 = 1.7$

So then the expected value for this random variable would be $E(X) =1.7$