Question

#34 what is the correct formula to calculate the population mean (μ) of a discrete random variable (x)? (a) μ = (σx)/n (b) μ = (σx)/(n - 1) (c) μ = σx + p(x) (d) μ = σx - p(x) (e) μ = σx • p(x)

Explanation:

The population mean of a discrete random variable is calculated by taking the sum of each value of the random variable multiplied by its probability. This is the definition of the expected value, which equals the population mean for such variables. Options A and B are for sample means (with B using the sample variance divisor), while C and D use addition/subtraction instead of multiplication, which is incorrect.

Answer:

E. $\mu = \sum [X \cdot P(X)]$