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In: Math

To navigate on Lake Latte (fed by the Decaf and the Vanilla Rivers) at least two...

To navigate on Lake Latte (fed by the Decaf and the Vanilla Rivers) at least two of the three
radio navigation beacons must be working. If the probability that a beacon is working is
p and the operational status of each station is independent of the other two, what is the
probability of being able to navigate on the lake? What is the probability that beacon #2 is
working if navigation on the lake is possible?

Solutions

Expert Solution

part b) is a bit tricky.

In that when we find that P(2nd working and able to navigate) means P(2nd working, one more beacon working) + P(2nd working, 2 more beacons working)

the outer 'p' is showing that 2nd working and in the bracket we got 2C1 which is selecting 1 beacon which is working, p is probability of that beacon to work and q is probability that another beacon not working. and same way 2C2 is showing both beacons working and p^2 is probability of those to work.

I hope it will be easy to understand. Please comment if anything is not clear.

milcah answered 1 day ago
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