216k views
0 votes
Hi, can you help me answer this question please, thank you!

Hi, can you help me answer this question please, thank you!-example-1

1 Answer

4 votes

Given :


\operatorname{mean}\text{ (}\mu)=55.8\text{ ; standard deviation (}\sigma)=7.8

b)


P(X>58.3)=P(Z>(X-\mu)/(\sigma))
P(X>58.3)=P(Z>(58.3-55.8)/(7.8))
P(X>58.3)=P(Z>0.3205)
P(X>58.3)=1-P(Z\leq0.3205)
P(X>58.3)=1-0.6255
P(X>58.3)=0.3745

User Lkallas
by
3.2k points