#1 The probability of a cooling system of a machine leaking has been found to be

Question

#1 The probability of a cooling system of a machine leaking has been found to be 0.005 and the probability of the system showing a high temperature 0.008. If a leakage will certainly cause a high temperature, what is the probability that a high temperature will be caused by a cooling system leak?

# 2 The probability of there being a malfunction with a machine consisting of three elements A, B and C is 0.46. If the probability of element A being active is 0.50 and the probability a malfunction occurs with A is 0.70, what is the probability that A was responsible for a malfunction?

Explanation / Answer

PROBABILITY OF LEAKING = 0.005

PROBABILITY OF HIGH TEMPERAURE = 0.008

NOW WE NEED TO GET THE PROBABILITY THAT THE LEAK CAUSE THE HIGH TEMPERATURE = FOR THIS BOTH THE EVENT SHOULD HAPPENN THEREOFRE THE ANSWER WILL BE 0.005*0.008 = 0.00004

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