The probabilities of a machine manufacturing 0,1,2,3,4,5 defective parts ln one day are 0.50, 0.22,0.19, 0.025, 0.06 and 0.005 respectively. Find the mean of the probability distribution
μ=0⋅0.50+1⋅0.22+2⋅0.19+3⋅0.025+μ=0\cdot0.50+1\cdot0.22+2\cdot0.19+3\cdot0.025+μ=0⋅0.50+1⋅0.22+2⋅0.19+3⋅0.025+
+4⋅0.06+5⋅0.005=0.94.+4\cdot0.06+5\cdot0.005=0.94.+4⋅0.06+5⋅0.005=0.94.
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