Department  SexPackaging shippingtotalFemale324880male4872120Total80120200 A local mail-order catalog business employs 200 people in the packaging and shipping departments. The personnel department maintains the records shown in Table below. Questions have arisen whether there has been a tendency to place female workers in the packaging department instead of in the shipping department. Management feels that there is no relationship between being female and working in the packaging department. They feel that these two events are independent. If an employee is selected at random from the 200 total employees, what is the probability that the employee works for the packaging department? A) if the employee selected at random is male, what is the probability that he works for the shipping department? B) if the employee selected at random is male, what is the probability that he works for the packaging department? C) is the probability of being male independent?

Question
Asked Feb 25, 2019
42 views
  Department    
Sex Packaging  shipping total
Female 32 48 80
male 48 72 120
Total 80 120 200

 A local mail-order catalog business employs 200 people in the packaging and shipping departments. The personnel department maintains the records shown in Table below. Questions have arisen whether there has been a tendency to place female workers in the packaging department instead of in the shipping department. Management feels that there is no relationship between being female and working in the packaging department. They feel that these two events are independent. If an employee is selected at random from the 200 total employees, what is the probability that the employee works for the packaging department? A) if the employee selected at random is male, what is the probability that he works for the shipping department? B) if the employee selected at random is male, what is the probability that he works for the packaging department? C) is the probability of being male independent?

check_circle

Expert Answer

Step 1

Given data of 200 male and female employees in packaging and shipping departments shown below.

The events being female and working in packaging department are independent events.

Given that employee selected at random is male and we need to calculate the probability that he works in shipping department.

Let event M be selecting male employee and event S be working in Shipping department. So here we need P(S | M)

Total employees = 200

total males = 120

P(M) = 120/200

Total males and working in shipping department = 72

Total employees = 200

P(S ∩ M) = 72/200

Using formula of conditional probability as shown below we get P(S | M) = 0.60

 

 

fullscreen
Step 2

Given the employee selected is male and we need to find the probability that he works in packaging deparment. Let event M be that a selected employee works in packaging department. So we need P(P | M).

P(M) = 120/200

Total n...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Basic Probability

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The method of tree ring dating gave the following years A.D. for an archaeological excavation site. ...

A: (a) Computation of sample mean and sample standard deviation:The number of samples, n = 9. Using cal...

question_answer

Q: Seven boys and five girls are going to a county fair to ride the teacup ride. Each teacup seats four...

A: Total number of possible arrangements:There are 12 seats in the ride. The number of people going for...

question_answer

Q: A total of 20 children, 14 men, and 12 women entered a raffle drawing. If the winner is randomly sel...

A: Total of men and women is given by 14+12=26Total of children, men and women is given by 20+14+12=46H...

question_answer

Q: the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simpl...

A: Given two normal six sided dice are rolledtotal number of possibilities when two dice are rolled = 6...

question_answer

Q: Seven boys and five girls are going to a county fair to ride the teacup ride. Each teacup seats four...

A: Total number of possible arrangements:There are 12 seats in the ride. The number of people going for...

question_answer

Q: How many diffrent strings can be formed by rearanging the letters in the word  ABABA?

A: Given information:The given word is "ABABA".

question_answer

Q: The rate at which customers are served at an airport check-in counter is a Poisson process with a wi...

A: Let X be the waiting time for a single customer.It is provided that customers are served with a rate...

question_answer

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating ...

A: Given that there are 8 people sitting in a row.The number of people, n=8.

question_answer

Q: An optical inspection system is used to distinguish among different part types. The probability of c...

A: Here, X is a random variable that denotes the number of parts that are correctly classified.The numb...