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 10.4. Answer parts (a)- (d) below.

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 494 .

The probability that a randomly selected medical student who took the test had a total score that was. less than 494 is 0.2809.

(Round to four decimal places as needed.)

(b) Find the probability that a randomly selected medical student who took the test had a total score that Was between 500 and 515 .

The probability that a randomly selected medical student who took the test had a total score that was between 500 and 515 is

(Round to four decimal places as needed.)

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10 , where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 4.6 and a standard deviation of 2.1 . Answer parts (a) - (d) below.

(a) Find the probability that a randomly selected study participant's response was less than 4 .

The probability that a randomly selected study participant's response was less than 4 is 3859 . (Round to four decimal places as needed.)

(b) Find the probability that a randomly selected study participant's response was between 4 and 6 .

The probability that a randomly selected study participant's response was between 4 and 6 is 3627 . (Round to four decimal places as needed.)

(c) Find the probability that a randomly selected study participant's response was more than 8 .

4. The probability that a randomly selected study participant's response was more than 8 is to four decimal places as needed.)

Answer 1