SOLUTION: assume the random variable x is normally distributed with mean =86 and standard deviation =4, Find the indicated probability p(x<83)=?

Algebra ->  Probability-and-statistics -> SOLUTION: assume the random variable x is normally distributed with mean =86 and standard deviation =4, Find the indicated probability p(x<83)=?      Log On


   

Question 982999: assume the random variable x is normally distributed with mean =86 and standard deviation =4, Find the indicated probability p(x<83)=?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
z = (x-mu)/sigma


z = (83-86)/4


z = -0.75


Use a table like this one to find that P(Z < -0.75) = 0.22663


So, P(X < 83) = 0.22663