Answer:
a)
And replacing we got:
b)
And then the expected value would be:
Step-by-step explanation:
We assume the following distribution given:
Y 0 1 2 3
P(Y) 0.60 0.25 0.10 0.05
Part a
We can find the expected value with this formula:
And replacing we got:
Part b
If we want to find the expected value of we need to find the expected value of Y^2 and we have:
And replacing we got:
And then the expected value would be:
2220000
it just means that 22.2 needs to be multiplied by 10, 5 times, so just move the decimal five to the right.
8/15 x 5/6
•multiply across the numerator and denominator.
= 40/90
• then find a common factor that will go into both the numerator and denominator equally.
Common factor: 5
= 8/18
•there is another common factor, which is 2
Simplified:
=4/9