A flywheel is attached to a crankshaft by 12 bolts, numbered 1 through 12. Each bolt is checked to determine whether it is torqued correctly. Let A be the event that all the bolts are torqued correctly, let B be the event that the #3 bolt is not torqued correctly, let C be the event that exactly one bolt is not torqued correctly, and let D be the event that bolts #5 and #8 are torqued correctly. State whether each of the following pairs of events is mutually exclusive. a. A and Bb. B and Dc. C and Dd. B and C

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the and are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

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step-by-step explanation:

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