Calculate – show all calculations

Question 1

Given: Z ~ N(0,1)

Calculate – show all calculations

1.1 P(- 2.25 <Z<2.52) = P(Z<2.52) – P(Z<-2.25) = 0.9941-0.0122 =

1.2 P(Z>3.18)= 1- P(Z< 3.18) = 1-0.9993 =

1.3 = 1- P(Z< -2.5) =1-0.0062=

1.4 =

1.5 = P(Z<2.58) – P(Z<0.38) = 0.9951 – 0.6380 =

1.6 = P(Z<-1.25) – P(Z<-2.82) =0.1056-0.0024 =

1.7 =

1.8 =>P(Z< ?) = 1-0.5319 =0.4681=P(Z< =-0.08)=> ? =

1.9 =>P(Z< ?) = 1-0.6331 =0.3669=P(Z<-0.35)=> ? =

1.10 = P(Z<0.068 ) => ? =

Question 2

A luxury passenger liner has 500 passengers on board whose ages are normally distributed around a mean of 60 years with a standard deviation of 12 years.

2.2 What percentage of the passengers is between 56 and 66 years old?

2.3 =

2.4 =

2.5 What is the minimum age of the oldest 20% of passengers?

1