Asked by Youry Wylie on Jul 20, 2024
Verified
Alana,Eva,and Stephanie,three candidates for the presidency of a college's student body,are to address a student forum.The forum's organizer is to select the order in which the candidates will give their speeches,and must do so in such a way that each possible order is equally likely to be selected.
a.What is the random experiment?
b.List the outcomes in the sample space.
c.Assign probabilities to the outcomes.
d.What is the probability that Stephanie will speak first?
e.What is the probability that Alana will speak before Stephanie does?
Random Experiment
An experimental process that leads to well-defined but unpredictable outcomes.
Sample Space
The set of all possible outcomes of a probability experiment.
Assign Probabilities
The process of allocating a likelihood or chance of occurrence to specific outcomes in a random event.
- Recognize and elucidate the core tenets of the classical method for allocating probabilities.
- Elucidate and differentiate between essential concepts like simple events, sample spaces, and populations.
- Acquire knowledge and implement the concepts of probability in the allocation of outcomes to experiments.
Verified Answer
DS
David SantiagoJul 22, 2024
Final Answer :
a. The random experiment is to observe the order in which the three candidates give their speeches.
b. S = {ABC,ACB,BAC,BCA,CAB,CBA},where A = Alana,B = Eva,and C = Stephanie.
c. The probability assigned to each outcome is 1/6.
d. P(CAB,CBA)= 1/3
e. P(ABC,ACB,BAC)= 1/2
b. S = {ABC,ACB,BAC,BCA,CAB,CBA},where A = Alana,B = Eva,and C = Stephanie.
c. The probability assigned to each outcome is 1/6.
d. P(CAB,CBA)= 1/3
e. P(ABC,ACB,BAC)= 1/2
Learning Objectives
- Recognize and elucidate the core tenets of the classical method for allocating probabilities.
- Elucidate and differentiate between essential concepts like simple events, sample spaces, and populations.
- Acquire knowledge and implement the concepts of probability in the allocation of outcomes to experiments.
Related questions
An Approach of Assigning Probabilities Which Assumes That All Outcomes ...
If an Experiment Consists of Five Outcomes with P(O 1 )= 0 ...
The Outcomes of a Sample Space Must Be ____________________,Which Means ...
The Collection of All Possible Outcomes of an Experiment Is ...
The Collection of All the Possible Outcomes of a Random ...