Respuesta :
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,
[tex]P(24<X<30)[/tex]
As we know that [tex]Z=\frac{X-\mu}{\sigma}[/tex]
so, we will substitute it :
[tex]P(\frac{24-27}{3}<\frac{X-\mu}{\sigma}<\frac{30-27}{3})\\\\=P(-1<Z<1)\\\\=2\times P(0<Z<1)=0.34134\\\\=0.34134\times 100=34.134\%[/tex]
Hence, there is 34.13% of pizzas are delivered between 24 and 30 minutes.
