A flywheel is attached to a crankshaft by 12 bolts, numbered 1 through 12. Each
ID: 3043943 • Letter: A
Question
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 and B (2 points)
B and D (2 points)
C and D (2 points)
B and C (2 points
and please explain why they are exclusive or not exclusive
Explanation / Answer
"Mutually exclusive" is a statistical term describing two or more events that cannot occur simultaneously. It is used to describe a situation where the occurrence of one event is not influenced or caused by another event.
Mutually exclusive means both cannot occur
a) Here event A and B are mutually exclusive
Because it is not possible both will not that A and B will occur same time
b) Here event B and D are not mutually exclusive
Because it is possible that the two events B and D to happen at the same time
that #3 is not torqued correctly and #5 and #8 are torqued correctly
c) C and D are not mutually exclusive as they can happen at the same time
d) B and C are not mutually exclusive as the one bolt which is not coreectly torqued can be #3
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