Question

A local pizza restaurant delivery time has a uniform distribution over 0 to 60 minutes. What is the probability that the pizza delivery time is more than 30 minutes on a given day? Answer: (Round to 2 decimal place.)

Answer 1

A

Explanation:

Answer 2

`X \sim Unif (a= 0, b=60)`

And we want to find the following probability:

`P(X>30)`

And for this case we can use the cumulative distribution given by:

`F(x) =(x-a)/(b-a), a \leq x \leq b`

And for this case if we use this formula and the complement rule we have:

`P(X>30)= 1-P(X<30) = 1- (30-0)/(60-0)= 1-0.50= 0.50`

Explanation:

Let X the random variable who represent the pizza delivery time and we know that the distribution for x is given by:

`X \sim Unif (a= 0, b=60)`

And we want to find the following probability:

`P(X>30)`

And for this case we can use the cumulative distribution given by:

`F(x) =(x-a)/(b-a), a \leq x \leq b`

And for this case if we use this formula and the complement rule we have:

`P(X>30)= 1-P(X<30) = 1- (30-0)/(60-0)= 1-0.50= 0.50`