Answer to Question #332559 in Statistics and Probability for Sia

Question #332559

Give the notation and area of these z score

1. above 𝑧 = βˆ’2.4

2. below 𝑧 = 0.2

3. Between 𝑧 = βˆ’2.3 π‘Žπ‘›π‘‘

𝑧 = βˆ’0.98

4. at least 𝑧 = 0.23

5. Between 𝑧 =βˆ’1.23 π‘Žπ‘›π‘‘ 𝑧 =2


1
Expert's answer
2022-04-25T13:38:35-0400

1. P(Z>βˆ’2.4)=1βˆ’P(Z<βˆ’2.4)==1βˆ’0.0082=0.9918;2. P(Z<0.2)=0.5793;3. P(βˆ’2.3<Z<βˆ’0.98)==P(Z<βˆ’0.98)βˆ’P(Z<βˆ’2.3)==0.1635βˆ’0.0107=0.1528;1. \ P(Z>-2.4) =1-P(Z<-2.4)=\\ =1-0.0082=0.9918;\\ 2. \ P(Z<0.2) =0.5793;\\ 3. \ P(-2.3<Z<-0.98) =\\ =P(Z<-0.98) -P(Z<-2.3)=\\ =0.1635-0.0107=0.1528;\\

4. P(Zβ‰₯0.23)=1βˆ’P(Z<0.23)==1βˆ’0.5910=0.4090;5. P(βˆ’1.23<Z<2)==P(Z<2)βˆ’P(Z<βˆ’1.23)==0.9772βˆ’0.1093=0.8679(from z-table). 4. \ P(Z\ge0.23) =1-P(Z<0.23)=\\ =1-0.5910=0.4090;\\ 5. \ P(-1.23<Z<2) =\\ =P(Z<2) -P(Z<-1.23)=\\ =0.9772-0.1093=0.8679\\ \text{(from z-table). }


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