Question: At a local high school, the probability that a randomly selected senior drives to school is 20% and the probability that a randomly selected senior

At a local high school, the probability that a randomly selected senior drives to school is 20% and the probability that a randomly selected senior has a part-time job is 50%. If the probability that a randomly selected senior who drives to school also has a part-time job is 75%, use Bayes' Theorem to calculate the probability that a randomly selected senior who has a part-time job also drives to school. Recall that the simplest form of Bayes' Theorem can be expressed with the following formula:

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

What is the probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5? What is the probability that a randomly selected middle manager is very satisfied?...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

Student: Brandy Freytag Date: 7/19/16 Instructor: Doug LeVeque, Beverly Wood Assignment: MSL Chapter 9 HW Course: MATH_211_1841_May_2016(LeVeque) 1. The distribution of the scores on a certain exam...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions...

Q:

ol Chapter 4 Assignment 2. 3. 4. 5. O O O The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows....

Q:

al Exam - Requires Limit: 3:00:00 Time Left:2:58:03 Huynh Thuan Anh Bui: Attempt 1 1 Question 19 (1 point) 2 3 A variable X has a normal distribution with a standard deviation of 154. It is known...

Q:

Write a program that calculates the performance-based salary of customer support representatives (CSRs) in an organization: 1. csrID (Customer support representative ID): An array of seven strings to...

Q:

Find the LDLT factorization of the matrices and 21 0 M2 = 0121 1210 2100

Q:

Question 9 of 1 0 0 . Hulan and Micki were divorced in 2 0 1 5 . Hulan was ordered to pay Micki $ 1 2 , 0 0 0 a y 'etums? Hulan claims $ 1 2 , 0 0 0 as an adjustment to income, and Micki reports $ 1...

Q:

Evaluate the integral fx) = x* + 5x - 6x + 19

Q:

In daily life, we sleep, eat, study, play, travel, etc. Discuss in detail the role of mechanics in this activity.

Q:

class Test{ int x; int y; public: Test(int h){ x=h; y=0; cout<<"Constructor for Obj:"< Test(int h, int g){ x=h; y=g; cout<<"Constructor for Obj:"< Test (){ y=x=0;...

Q:

Given W = (ax + Y) where X and Y are zero-mean random variables with variance ox =2, and variance oy = 16, respectively. Moreover, their correlation coefficient is r= - 0.2. 1. Find the expected...

Q:

Q2. B. Develop a WBS to create a website that supports Walmart's use and administration of talent resources. (CLO 2) Break down the work to at least the third level for two of the items on the WBs....

Q:

Among a group of 5 8 programmers, who know either Java or Python or both, 1 5 only know Java and 1 3 only know Python. What is the probability of randomly choosing a programmer who knows both...

Q:

Preparing Financial Statements The Historical Preservation Guild of the Town of Lower Switchback was created more than twenty years ago to help restore and preserve the hallowed history of the town....

Q:

Why is a provision for income taxes typically included in the income statement of a business entity?

Q:

When do sales returns and allowances arise? How are they reported in the financial statements?