Pizza delivery times at Pizza Time are normally distributed with a mean time of 27 minutes and a standard deviation of 3 minutes. Approximately what percent of pizzas are delivered between 24 and 30 minutes?
68% of the data will be within one standard deviation of the mean, so 68% of delivery times will be at least 27-3=24 and at most 27+3=30.
Answer: There is 34.13% of pizzas are delivered between 24 and 30 minutes.
Step-by-step explanation:
Since we have given that
Mean time = 27 minutes
Standard deviation = 3 minutes
We need to find the percentage of pizzas are delivered between 24 and 30 minutes.
Since it is normally distributed.
So, it becomes,
\(P(24
As we know that \(Z=\frac{X-\mu}{\sigma}\)
so, we will substitute it :
\(P(\frac{24-27}{3}<\frac{X-\mu}{\sigma}<\frac{30-27}{3})\\\\=P(-1
Hence, there is 34.13% of pizzas are delivered between 24 and 30 minutes.