In transmitting dot and dash signals, a communication

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QUESTION:

In transmitting dot and dash signals, a communication system changes 1/4 of the dots to dashes and 1/3 of the dashes to dots. If 40% of the signals transmitted are dots and 60% are dashes, what is the probability that a dot received was actually a transmitted dot?

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QUESTION:

In transmitting dot and dash signals, a communication system changes 1/4 of the dots to dashes and 1/3 of the dashes to dots. If 40% of the signals transmitted are dots and 60% are dashes, what is the probability that a dot received was actually a transmitted dot?

ANSWER:

Step 1 of 2

Let,

The event of transmitting a dot signal.

The event of receiving a dot.

Given,

To find the probability that a dot received was actually a transmitted dot. It is sufficient to evaluate .

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