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 487. The probability that a randomly selected medical student who took the test had a total score that was less than 487 is (Round to four decimal places as needed.)

The heights of river birch trees are normally distributed with a mean of 92.3 inches and a standard deviation of 4.1 inches.  (d) What is the probability of a birch tree having a height that differs from the mean by at most 1 inch? Round answers to four decimal places.

na recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.7. 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 487. he probability that a randomly selected medical student who took the test had a total score that was less than 487 is. 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 498 and 512. he probability that a randomly selected medical student who took the test had a total score that was between 498 and 512 is Round to four decimal places as needed.) c) Find the probability that a randomly selected medical student who took the test had a total score that was more than 527. The probability that a randomly selected medical student who took the test had a total score that was more than 527 is…

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 2.6. 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 (Round to four decimal places as needed.)