Answer:
B. 30.47
Step-by-step explanation:
The mean for a discrete random variable when the probability distribution is given is calculated by the formula:
E(X) = ∑(x_i)*P(x_i)
So, from the values given in the table
[tex]E(X) = (23)(0.16) + (25)(0.09)+(26)(0.18)+(31)(0.12)+(34)(0.24)+(38)(0.21)\\= 3.68+2.25+4.68+3.72+8.16+7.98\\= 30.47[/tex]
Hence, the correct answer is:
B. 30.47 ..
