Answer to Question #180493 in Statistics and Probability for bianca

Question

n= 1000, n= 60, mean = 75, standard deviation= 6, probability= p(x<76.5)

Answer 1

Here,

$Mean\ \mu=75\\Standard\ Deviation\ \sigma=6\\\\N=1000\\n=60$

$z=\dfrac{x-\mu}{\sigma}=\dfrac{76.5-75}{6}=0.25$

So, $P(x<76.5)=P(z<0.25)=0.5987$