Statistics question

Question

The average time between accidents in a factory is 9 weeks. Find the probability that more than 14 weeks pass between accidents.

Answer 1

did it give you any more information related to the type of distribution that it’s expecting? typically this type of situation would be modeled using what’s called an exponential distribution, meaning that you can use the formula

e^(-lambda/t) in order to model this underlying situation

in this case we have t = 14 and lambda = 1/9 from the information in the question

putting it all together yields

e^(-14/9) = 0.0183 for the probability