The probability that the time is greater than 24 seconds is e^(-24λ).
Since it is a waiting time distribution, it definitely will be an exponential distribution. Here we might either be given the value of mean or λ.
If the mean is given we can find λ by using the formula
mean = 1/λ.
Then to find the probability that the waiting time is greater than 24 seconds we will use the cumulative density function formulae
F(x) = 1 - e^(-λx)
here we will find
F(24) = 1 - e^(-24λ)
Then to find P(X>24) we will subtract 1 from F(24) to get
P(X>24) = e^(-24λ)
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