Question

In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with a mean of 500 and a standard deviation of 10.6. Answer parts ​(a)dash​(d) below. ​(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490. The probability that a randomly selected medical student who took the test had a total score that was less than 490 is nothing. ​(Round to four decimal places as​ needed.)

Answer 1

Given that,

mean = = 500

standard deviation = = 10.6

Let X be a random variable of normal distribution with mean and standard deviation

The probability that a randomly selected medical student who took the test had a total score that was less than 490 is

P(x < 490) = P((x - ) / < (490- 500) / 10.6) = P(z < -0.94) = 0.1736

The probability that a randomly selected medical student who took the test had a total score that was less than 490 is 0.1736