(Solved): Assume the random variable x is normally distributed with mean =83 and standard deviation =5. F ...

Assume the random variable $x$ is normally distributed with mean $\mu =83$ and standard deviation $\sigma =5$. Find the indicated probability. $P(68<x<75)$ $P(68<x<75)=$ (Round to four decimal places as needed.) The prewtary tuat the ineriter ateleces of ransom is trom tes wheded are of the eregh if Use the normal distrbution of SAT eritical reading soares for which the mesn is 510 and the standard deviason is 111 : Assume the variable $x$ is normaly distrbuled. (a) What percent of the SAT verbai scorbs are less than 550 ? (b) If 1000 SAT verbw scores ace randomvy selected, about how enany would you expect to be greater than 525 ? (a) Approximarely of the $5AT$ vertial scores are less than 550 . (Round to two dedimal places as neseded.) (b) You would expect that appronimately SAT verbal tcores would be greater than 525 . (Round to the nesrest whole number as needed.) Standard Normal Table (Page 1) $-\infty$ Standard Normal Table (Page 2) The ratridaliver brea corretworets th the tacion id Standard Normal Table (Page 1) P. Standard Normal Table (Page 2) $-x$ Stakdard Normal Table (Page 1) - a d o 34 . Find the indicated $z$-score shown in the graph to the right. The z-score is (Round to two decimal places as needed.)