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PRINTER VERSION BACK NEXT eblem 2.125 e edge roughness of sin paper products increases as knife blades wear Only 1% of products sit with new blades have four decimal places (eg.98.7654) 4%ofproducts sit with blades of HWage sharpness eshbn roughness, and 4% of products the me lact ring renew, 60% are o average sharp ess, and 15% are worn, what is the pre otrofpeohrts that e telpawr ss, Round your ans er 25% e, the blade. S.
math   Statistics-And-Probability   
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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

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