PRINTER VERSION BACK NEXT eblem 2.125 e edge roughness of sin paper products increases as knife...

Question

Question

Answer 1

Answer #1

Let us denote the events

A₁ : a randomly selected blade is new

A₂ : a randomly selected blade has average sharpness

A₃ : a randomly selected blade is worn

and B : a randomly selected blade exhibit edge roughness

Given

P(Ai) 0.25. P(A-) = 0.60. P(As) 0.15

and P(B|A_1) = 0.01, P(B|A_2) = 0.04, P(B|A_3) = 0.04

The proportion of products that exhibit edge roughness

P(B)

= P(A_1 cap B) + P(A_2 cap B)+P(A_3 cap B)

= P(B|A_1)*P(A_1) + P(B|A_2)*P(A_2) +P(B|A_3)*P(A_3)

0.01 *0.25)(0.04 0.60) (0.04 0.15)

0,0325

Answer 2