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Each of three barrels from a manufacturing line are classified as either above (a) or below...

Each of three barrels from a manufacturing line are classified as either above (a) or below (b) the target weight. Provide the ordered sample space.

Expert Solution

Let us first discuss the sample space:

It is a space in which all the possibilities of occurrence of event lie is known as sample space.

For instance,

Tossing a pair of coin simultaneously,

the possibilities will be(Sample space): {H, H}, {H, T}, {T, H}, {T, T}.

_____________________________________________________

Similarly,

going with the above question

We have to construct for 3 barrels that can either be above (a) or below (b) the target weight

then the possibilities will be (sample space):

{a, a, a}, all three barrels are above the target

{a, a, b}, first two barrels are above and the third one is below

{a, b, a}, 1st, and 3rd is above and 2nd is below

{a, b, b}, 1st is above and 2nd 3rd is below

{b, a, a}, 1st is below and 2nd and 3rd is above

{b, a, b}, 1st, and 3rd is below and 2nd is above

{b, b, a}, 1st, and 2nd is below and 3rd is above

{b, b, b}, all three barrels are below the target.

milcah answered 1 year ago

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