Probability of 95th percentile of the SAT verbal scores

Assume that verbal scores on the SAT exam have a normal distributionwith a population mean500 points and a population standard deviationof 100. What is the probabilitythat a randomly chosen makes at least 520 but no more than 610 and what is the 95th percentileof the SAT verbal scores?

See attached file.

mu = 500, sigma = 100

(a) z = (x – mu)/sigma

z = (520 – 500)/100 = 0.2 and z = (610 – 500)/100 = …

A Complete, Neat and Step-by-step Solution is provided. Graph also attached.