This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 15 percent juniors, and 30 percent seniors. Assume further that 60 percent of the freshmen, 50 percent of the sophomores, 25 percent of the juniors, and 10 percent of the seniors plan to go to medical school. One student is selected at random from the class.

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
Question

This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 15 percent juniors, and 30 percent seniors. Assume further that 60 percent of the freshmen, 50 percent of the sophomores, 25 percent of the juniors, and 10 percent of the seniors plan to go to medical school. One student is selected at random from the class.

(1) What is the probability that the student plans to go to medical school? 

 



(2) If the student plans to go to medical school, what is the probability that she is a sophomore? 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
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