A sample of 41 executives in the oil industry were selected to answer a question
ID: 3040973 • Letter: A
Question
A sample of 41 executives in the oil industry were selected to answer a questionnaire. One question about environmental issues required a yes-or-no answer.
Are each of the possible outcomes equally likely and mutually exclusive?
(click to select):
The events are not equally likely but they are mutually.
The events are eually likely but are not mutually exclusive
The events are not equally likely and are also not mutually exclusive.
The events are equally likely and are also mutually exclusive.
A sample of 41 executives in the oil industry were selected to answer a questionnaire. One question about environmental issues required a yes-or-no answer.
a. Which of the following are possible events? (You may select more than one answer. Single click the box with the question mark to produce a check mark for correct answers and double click the box with the question mark to empty the box for wrong answers.) - 33 people respond "Yes." - 21 people respond "Yes." - 41 people respond "No." - 47 people respond "No." - The questionnaire fails to reach one executive.Explanation / Answer
Sample size = 41
Let
X be the no of executives who say yes.
X can take values from 0 to 41
X= 0,1,2, . . . , 41
Possible events
33 people say yes
21 people say yes
41 people say no
Questionnaire fails to reach at one executive
Impossible event
47 people respond no
As X can't be greater than n
The events are not mutually exclusive and are not equally likely.