A sample of 2,000 licensed drivers revealed the following number of speeding violations.
Number of Violations Number of Drivers
5 or more 5
a. What is the experiment?
Testing the number of speeding violations per driver.
b. List one possible event.
46 drivers had one speeding violation.
c. What is the probability that a particular driver had exactly two speeding violations?
The probability that a particular driver had exactly two speeding violations is .009 found by 18/2000 = 0.009.
d. What concept of probability does this illustrate?
Please check answers if they are correct ..if not please solve:
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:
Gender Accounting Management Finance Total
Male 100 150 50 300
Female 100 50 50 200
Total 200 200 100 500
a. What is the probability of selecting a female student?
P(F) = = 0.4
b. What is the probability of selecting a finance or accounting major?
c. What is the probability of selecting a female or an accounting major? Which rule of addition did you apply?
P(Fm or A) = P(Fm) + P(A) - P (both Fm and A)
P(Fm or A) = 200/500 + 200/500 - 100/500
P(Fm or A) = .40 + .40 - .20
P(Fm or A) = .60
The probability of selecting a female or an accounting major is .60
Application used was Joint Probability.
d. Are gender and major independent? Why?
No because independence requires that P(A / B) = P(A)
In this case P(gender / major) = P(gender)
100/300 DOES NOT EQUAL 200/500
Joint Probability must be used
e. What is the probability of selecting an accounting major, given that the person selected is a male?
P(A and M) = P(A) P(M)
P(A and M) = = = .24
Probability of selecting an accounting major given the person selected is a male is .24.
f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected are accounting majors?© BrainMass Inc. brainmass.com November 24, 2022, 12:50 pm ad1c9bdddf
Probability problems related to empirical definition, addition theorem, joint probability, marginal probability and conditional probability.