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Answered

SOLVE THE FOLLOWING QUESTIONS:


AFind P(X < 65)

BP(X >= 72)

CP(60 < X < 72)

DHow tall would you need to be to be among the tallest 5% of people in the school?"

Verified Answer :

z= ( x - µ ) / σ: 
x= 65-->z= -1.11; P(X< 65 )= P(z< -1.11)=0.133260; 

x= 72-->z= 1.48; P(X> 72 )= P(z> 1.48)=0.069239 

x= 60-->z= -2.96;x= 72-->z= 1.48; 
P( 60 <X< 72 )= P(-2.96<z< 1.48) = 0.929237 

tallest 5% is taller than 95% 
.9500 = P(Z< 1.645)= P(X< 72.4411 )

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