Using it's formula, it is found that the mean of the discrete random variable is given by:
B. 30.47.
What is the mean of a discrete distribution?
The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Hence, considering the table, the mean of the discrete distribution is:
E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.
Hence option B is correct.
More can be learned about the mean of a discrete random variable at https://brainly.com/question/26660401
#SPJ1
