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Exam 4: Introduction to Probability

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Question 41

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A probability based on logical analysis rather than on observation or personal judgment is best referred to as a(n) ________.

A) classical probability
B) empirical probability
C) subjective probability
D) None of the above

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Question 42

Multiple Choice

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Two hundred people were asked if they had read a book in the last month. The accompanying contingency table, cross-classified by age, is produced. The probability that a respondent is at least 30 years old is the closest to ________.

A) 0.33
B) 0.46
C) 0.50
D) 0.65

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Question 43

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An experiment consists of tossing a fair coin and rolling a fair die. Find the probability of tossing a head and rolling a 6.

There are 30 Major League Baseball teams in the National League. Five of these teams will make the playoffs at the end of the season. The number of unique groups of teams that can make the playoffs is ________.

There are three unfilled seats on a small plane, but 10 people showed up to try to get one of those three unfilled seats. If the airline picks three people at random to get on the plane, what is the probability you and your two kids will get on the plane?

What is a simple event?

Which of the following represents an empirical probability?

The odds against winning $1.00 in the lottery are 19 to 1. What is the probability of winning $1.00 in the lottery?

For an experiment in which a single die is rolled, the sample space is ________.

0! = 0.

Which of the following are mutually exclusive events of an experiment in which two coins are tossed?

The following contingency table provides frequencies for the preferred type of exercise for people under the age of 35 and those 35 years of age or older. Here xx and yy represent missing values. Determine whether selecting an individual under 35 is independent of selecting an individual who prefers swimming.

Events are exhaustive if they do not share common outcomes of a sample space.

An intuitive way to express the total probability rule is with the help of a ________.

An experiment consists of rolling a fair die. Find the probability that we roll a 4 or a 6.

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. What is the probability that a student does well in the course?

Two events A and B are independent if the probability of one does not influence the probability of the other.

Which of the following sets of outcomes described below in I and II represent mutually exclusive events? I. "Your final course grade is an A"; "Your final course grade is a B." II) "Your final course grade is an A"; "Your final course grade is a Pass."

The following probability table shows probabilities concerning Favorite Subject and Gender. What is the probability of selecting an individual who is a female or prefers science?

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly?