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xeze [42]
3 years ago
5

A town has three fire engines operating independently. The probability that a specific engine is available when needed is 0.86.

​(a) What is the probability that no fire engine is available when​ needed? ​(b) What is the probability that a fire engine is available when​ needed?
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

Part a : 0.002744

Part b : 0.997256

Step-by-step explanation:

The probability that a specific engine is available when needed is 0.86.

So, The probability that fire engine will not be available when​ needed = 1-0.86=0.14

(a)

The probability that no fire engine is available when​ needed =

0.14^{3}

= 0.002744

(b)

p(at least one available) = 1-0.002744

= 0.997256

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