Samples of cast aluminum parts are classified on the basis of surface finish (in

Question

Samples of cast aluminum parts are classified on the basis of surface finish (in microinches) and length measurements. The results of 100 parts are summarized as follows:

Problem 2.102 Samples of cast aluminum parts are classified on the basis of surface finish (in microinches) and length measurements. The results of 100 parts are summarized as follows: Length Excellent Good Surface Excellent 71 Finish Good Let A denote the event that a sample has excellent surface finish, and let B denote the event that a sample has excellent length. Determine: (a) Give the exact answer. 9 12 P(A) (b) Give the exact answer. P(B) = (c) Round your answer to 4 decimal places (e.g. 98.7654) P(A | B) = (d) Round your answer to 4 decimal places (e.g. 98.7654) P(B | A) =1 (e) Round your answer to 4 decimal places (e.g. 98.7654) If the selected part has excellent surface finish, what is the probability that the length is excellent? (f) Round your answer to 4 decimal places (e.g. 98.7654) If the selected part has good length, what is the probability that the surface finish is excellent?

Explanation / Answer

(According to chegg policy only four subquestions will be answered. Please post the remaining in another question)

(a) P(A) = (78+1)/(78+1+9+12)

= 0.79

(b) P(B) = (78+9)/(78+1+9+12)

= 0.87

(c) P(A|B) = 78/(78+9)

= 0.8966

(d) P(B|A) = 78/(78+1)

= 0.9873

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