If your college hires the next 4 employees without regard to gender, and the pool of applicants is large with an equal number of men and women, then the probability distribution for the number x of women hired is described in the accompanying table.

Determine whether a probability distribution is given. In those cases where a probability distribution is not described, identify the requirement that is not satisfied. In those cases where a probability distribution is described, find its mean, variance, and standard deviation.

Transcribed Image Text:

x P(x) 0 0.0625 1 0.2500 2 0.3750 3 0.2500 4 0.0625