Problem 2. Marital Status. An insurance company has collected the following data

Question

Problem 2. Marital Status. An insurance company has collected the following data on the gender and marital status of 300 customers.

           Marital Status
Gender    Single    Married    Divorced Total

Male       25     125 30 180

Female    50        50 20 120

Total   75        175 50 300

(a) What is the probability that an employee in the company is female?

(b) What is the conditional probability that an employee of the company is female, given that the person is married?

(c) Is the gender independent of the marital status? Why or why not?

(d) What is the probability that an employee is female or divorced? (Use the Addition Rule)

Explanation / Answer

a)  probability that an employee in the company is female =(120/300)=0.40

b)conditional probability that an employee of the company is female, given that the person is married =(50/175)

=0.2857

c)as probability of married and female =50/300=0.1667

and probability of married *probability of female =(175/300)*(120/300)=0.2333

as above both probability are not equal they are not independent.

d)probability that an employee is female or divorced=(120+50-20)/300=0.5

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.