Question

The data from 200 machined parts are summarized as follows: Depth of Bore Edge Condition Above Target Below Target Coarse 15 10 Moderate 20 25 Smooth 52 78 (a) What is the probability that a part selected has a moderate edge condition and a below-target bore depth? Round your answer to two decimal places (e.g. 98.76).

Answer 1

Answer:

The probability that a part selected has a moderate edge condition and a below-target bore depth is 0.13.

Explanation:

The given data is as follows:

Edge condition                       Above target                   Below target

Coarse                                             15                                     10

Moderate                                         20                                    25

Smooth                                            52                                    78

Total machine parts = 15 + 20 + 52 + 10 + 25 + 78

                                 = 200

In general, Probability = Possible outcomes / Total outcomes

Probability that a part selected has a moderate edge condition and a below-target bore depth

= 25 / 200

= 0.125

= 0.13 (rounded to two decimal places)

Answer 2

Answer:

The probability that a part selected has a moderate edge condition and a below-target bore depth = 0.675.

Step-by-step explanation:

                                                    Depth of bore  

Edge condition above target     below target      Total

Coarse                       15                       10                25

Moderate               25                       20                45

Smooth                       50                       80                130

Total                       90                       110                200

Let part selected has a moderate edge condition  be represented as M, and

part selected has a below target bore depth  be represented as B.

P(M or B) = P(M \ B)

              = P(M)+P(B)-P(M \ B)

               = 45/200+110/200-20/200

               = 0.225 + 0.55 - 0.1

               =135/200

P(M or B) = 0.675

Thus, the probability that a part selected has a moderate edge condition and a below-target bore depth = 0.675.