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 10.3. 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 493.   The probability that a randomly selected medical student who took the test had a total score that was less than 493 is nothing. ​(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 496 and 510.   The probability that a randomly selected medical student who took the test had a total score that was between 496 and 510 is nothing. ​(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 nothing. ​(Round to four decimal places as​ needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Topic Video
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
10.3.
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
493.
 
The probability that a randomly selected medical student who took the test had a total score that was less than
493
is
nothing.
​(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
496
and
510.
 
The probability that a randomly selected medical student who took the test had a total score that was between
496
and
510
is
nothing.
​(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
nothing.
​(Round to four decimal places as​ needed.)
​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 9 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON