The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 30 days. find the probability that the time between two unplanned shutdowns is between 18 and 24 days.

0.0995

Step-by-step explanation:

The cumulative distribution function for exponential distribution for random variable x is given by :-

, where is the mean of the distribution .

Given : The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 30 days.

Then

Now, the probability that the time between two unplanned shutdowns is between 18 and 24 days will be :-

Hence, the  probability that the time between two unplanned shutdowns is between 18 and 24 days =0.0995

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.