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**

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