Question

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?

Answer 1

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