Question

The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the mean of the probability distribution.

Answer 1

$\mu=0*0.75+1*0.17+2*0.04+3*0.025+4*0.01+5*0.005=0.39.$