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A production line consists of two machines. Only one is required to make shipments. The first...

A production line consists of two machines. Only one is required to make shipments. The first one has an uptime of .9 and the second has an uptime of .7. What is the probability of making shipments? A)92% B)3% C)97% D)99.7%

Math   Statistics-And-Probability   
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Answer #1

There are 2 machines and only one is required to make shipment.

So there can be 3 ways for making shipments.

1st is , machine 1 Making shipment but machine 2 not.

2nd is, machine 2 Making shipment but machine 1 not.

3rd is, both machine 1 and 2 making shipment.

Given that

P(1st machine making shipment) = 0.9

P(1st machine not making shipment) = 0.1

P(2nd machine making shipment) = 0.7

P(2nd machine not making shipment) = 0.3

Then probability of making shipment= P(1st case) +P(2nd case)+P(3rd case)

=0.9×0.3 +0.7×0.1+0.7×0.9

= 0.97

So correct option is 97% .

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