In: Statistics and Probability
Solution :
Given that ,
mean = = 70
standard deviation = = 12
n = 16
= 70
= / n = / = 12/16 = 3
P( > 75) = 1 - P( <75 )
= 1 - P[( - ) / < (75-70) /3 ]
= 1 - P(z <1.67 )
= 1 - 0.9525 = 0.0475
Probability = 0.0475