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
Explanation / Answer
1)
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
2)
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
3)
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