1) Consider the following sample space, S, and several events defined on it. S =
ID: 3303310 • Letter: 1
Question
1)
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. F H is ___________.
{Meagan}
{Betty, Patty, Abel, Meagan}
empty, since F and H are complements
empty, since F and H are independent
empty, since F and H are mutually exclusive
2)
Belinda Bose is reviewing a newly proposed advertising campaign. Based on her 15-years’ experience, she believes the campaign has a 75% chance of significantly increasing brand name recognition of the product. This is an example of assigning probabilities using the ________________ method.
subjective probability
relative frequency
classical probability
a priori probability
a posterior probability
3)
Leonardo Barichello describes a thought experiment in which two people, stranded on an island, are tossing dice to decide who will get the last banana. Player 1 wins if the largest number that comes up is a 1, 2, 3, or 4; player 2 wins in the largest number is a 5 or 6. Barichello says most people think that Player 1 has the highest likelihood of winning. People who believe this are relying on the _____ method.
subjective probability
relative frequency
classical probability
a priori probability
a posterior probability
a){Meagan}
b){Betty, Patty, Abel, Meagan}
c)empty, since F and H are complements
d)empty, since F and H are independent
e)empty, since F and H are mutually exclusive
Explanation / Answer
1. a={Meagan} because Meagan is the only common item between F and H
2. a priori probability because our assumption is based on the previous dati i.e we have some information from past 15 years and based on that we say it.
3. Classical Probability because the total sides of dice are 6 and A will win if it is 1,2,3,4 so the ratio for A to win is more than for B just with 2 sides 5 and 6.
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