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

Answer:

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

And we want to find the following probability:

$P(X>30)$

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

$F(x) =\frac{x-a}{b-a}, a \leq x \leq b$

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

$P(X>30)= 1-P(X$

Step-by-step 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:

$F(x) =\frac{x-a}{b-a}, a \leq x \leq b$

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

$P(X>30)= 1-P(X$