Question

Pizza Co. has recently received complaints about the inconsistent amount of cheese on their pizza slices. Michelle, the manager, finds out that the amount of cheese on a slice of pizza is uniformly distributed from 1 to 5 ounces. Find the probability that there is less than 2.5 ounces of cheese on a slice of pizza. Round to 3 decimal places.

Answer 1

0.375

Explanation:

Answer 2

`P( X <2.5) = F(2.5) = (2.5-1)/(5-1) = (1.5)/(4)=0.375`

Explanation:

For this case we define the random variable X as "amount of cheese on a slice of pizza" and the distribution for X is given by:

`X \sim Unif (a=1, b=5)`

We want to find this probability:

`P(X <2.5)`

And we can use the cumulative distribution function given by:

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

And for this case we can use this concept and we got:

`P( X <2.5) = F(2.5) = (2.5-1)/(5-1) = (1.5)/(4)=0.375`