Questions 10 – 18. 10. P(A) = .2 and P(B) = .5. If A and B are independent event
ID: 3134202 • Letter: Q
Question
Questions 10 – 18.
10. P(A) = .2 and P(B) = .5. If A and B are independent events,
what is the P(A and B)?
11. P(A) = .2 and P(B )= .7. If A and B are Independent events,
what is the P(A | B)?
12. The employees of a company were surveyed on questions
regarding their educational background (college degree or no
college degree) and marital status (single or married).
45% of the employees had college degrees
35% of the employees were single
15% of the employees were single and had college degrees
Fill in the two-by two table in the Answer column.
Use the following key:
C=college degree
No C = no college degree
S = single
M = married
13. a) How many variables are in the table you constructed in the question above?
b) Name the variables.
14. Use the information in Q 12.
What is the probability that an employee of the company is single or does not have a college degree?
15. Use the information in Q 12. If an employee is single, what is the probability the employee has a college degree?
16. At a different company, 600 of the 2000 employees are male. If two employees are randomly selected, what is the probability that they are the same gender?
17. A student is taking a very short multiple-choice quiz in which each question has 5 choices - - A, B, C, D, E. The student hasn’t studied so he randomly selects an answer for each of the 3 questions.
What is the probability that he gets all 3 questions correct?
18. What is the probability that the student in the previous question
gets at least one answer correct?
Explanation / Answer
10.P(A)=0.2,P(B)=0.5.
The two events are independent.
Thus, P(A and B)=P(A)*P(B)=0.2*0.5=0.1
11.P(A)=0.2,P(B)=0.7.
A and B are independent.
Thus, P(A given B)
=P(A and B)/P(B)
=P(A)*P(B)/P(B)
=P(A)
=0.2
15.P(an employee has a college degree given that the employee is single)
=P(S and C)/P(S)
=0.15/0.35
=0.43
16.If two employees are randomly selected then the probability that they are the same gender is:
600C2/2000C2
=179700/1999000
=0.09
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