Answer to Question #249189 in Statistics and Probability for Kay

Question

Paul has relocated and now lives within the 5 kilometre radius. He orders a pizza from the pizza parlour. The probability that it takes between 43 and 49 minutes for him to receive his pizza

Answer 1

$Given\:that\:\mu =45\:\:and\:\sigma =8$

$P\left(43<x<49\right)=P\left(\frac{43-45}{8}<\frac{\lambda -\mu }{\sigma }<\frac{49-45}{8}\right)$

$=P\left(-0.25<z<0.5\right)$

$=P\left(z<0.5\right)-P\left(z<-0.25\right)$

$=0.6915-0.4013$$(From$ $z-table)$

$P\left(43<x<49\right)=0.2902$