Question

The meanof the random variable X representing the outcomes when a single die is rolled once is..​

Answer 1

Answer:

I am sorry I don't know this answer

Answer 2

Given,

A random variable X represents the outcomes when a single die is rolled once.

To find,

The mean of the variable X.

Solution,

Here, we are given that a random variable represents the outcomes when a single die is rolled once. Therefore, the possible values of X can be 0,1,2,3,4,5,6.

Now, Probability of X = 0, P(X=0) = 1/6

Similarly,  P(X=1) = 1/6   P(X=2) = 1/6   P(X=3) = 1/6   P(X=4) = 1/6  

                P(X=5) = 1/6  P(X=6) = 1/6

We know, Mean, μ = ∑X × P(X)

                               = ( 0 + 1 + 2 + 3 + 4 + 5 + 6 ) × 1/6  

Here, ∑X  is the sum of all possible outcomes of the random variable X represents the outcomes when a single die is rolled once.

          P(X) = Probability of each outcome of the random variable X represents the outcomes when a single die is rolled once.

Therefore, mean,  μ = 21 × 1/6

                                 = 3.5

Hence, The mean of the random variable X representing the outcomes when a single die is rolled once is 3.5.