Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common
number if doubles are rolled. (So, a roll of 4-3 would be given a value of 4 while a roll of 5-5 would be given a value of 5).
1 answer:
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
From this table we can compute the probabilities
:
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722
You might be interested in
120/210 = 0.57
0.57 x 60 = 34.2
34 hours and 12 minutes
Answer:
48 minutes
Step-by-step explanation:
First do 3 divided by 3/4 and that gives you 4. Then multiply 4 by 12 and you get 48.
Next time make it more easyer
I want to say its 6 but I'm not sure. sorry