Topic : Standard Normal Distribution Q1 Find the area of Z if 1- area below 1.5

ID: 3365730 • Letter: T

Question

Topic : Standard Normal Distribution

Q1 Find the area of Z if

1- area below 1.5

2- area below 2.4

3- area above 1.3

4- area between 1.2 and 2.5

Q2 : if a distribution of test is normal , the mean is 60 and Standard Deviation is 8

Ahmed Got Score 70

Khaled Got Score 55

Hasan Got Score 60

Find the Standard Score Z

Q3 : if weights follow Normal Distribution with Mean 80 and Standard Deviation is 10

a - find the Weights less than 70 Kilo

b - find the Weights more than 85 Kilo

Note the answers should be computerized or hand written and it should be in deatils please

1- P(Z<1.5)=0.9332

2- P(Z<2.4)=0.9918

3-P(Z>1.3)=0.0968

4-P(1.2<Z<2.5)=0.9938-0.8849 =0.1089

as z score =(X-mean)/std deviation

Ahmed Got Score 70 : zscore =(70-60)/8=1.25

Khaled Got Score 55: zscore =(55-60)/8=-0.0625

Hasan Got Score 60: zscore =(60-60)/8= 0.00

a)z score =(70-80)/10 =-1

P(Z<-1)=0.1587

b) z score =(85-80)/10 =0.5

P(Z>0.5)=0.3085

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.