Statistics messed up questions

Which of the following is a Subjective Probability?

If you apply for a job after graduation, your chance of getting the job is 83%.

Which of the following best describes the meaning of "outcome" in the context of a probability experiment?

One and only one result of the experiment.

Given the following contingency table, how many conditional probabilities are listed for the second set of branches? Assume 'Movies Attended' is represented as the first stage of the tree diagram.

6

Which of the following met the requirements for a probability experiment?

Answer a true or false question Roll a die Toss one coin

Which of the following expressions accurately represents the General Rule of Addition?

P(A or B) = P(A) + P(B) - P(A and B)

A bowl holds three green and three black marbles. Three marbles are selected randomly. What is the probability that all three are green?

1/20

What is the answer for P(~A) if P(A) = 0.7?

0.3

Suppose that P(A)=0.20, P(B)=0.40, and the events are mutually exclusive. What is the probability of A or B occurring?

0.6

The Complement Rule tells us that P(A) + P(~A) = ______.

1

Using the contingency table shown here, calculate the empirical probability that a randomly chosen person was a man and attended 2 or more movies last month.

1/15

The chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws, what is the probability of drawing two spades in two draws if the first card is returned to the deck between draws?

1/16

A particular brand of cell phone case is available in four different styles and each style comes in three colors. How many different cases are available?

12

Given the following contingency table, how many branches go out from the root to the first column? Assume 'Movies Attended' is represented as the first stage of the tree diagram.

3

Using the contingency table shown here, calculate the empirical probability that someone who attended only one movie last month is a woman.

3/7

Jack wants to pack three different colored shirts for a trip. If he has seven colors to choose from, how many different selections of shirts can he make?

35

Using the contingency table shown here, calculate the empirical probability that a randomly chosen person was a woman or attended 1 movie last month.

4/5

Yesterday's forecast calls for a 30% chance of rain today. P(R) = 0.3 On days when it rains, it is cloudy in the morning half the time. P(C|R) = 0.5 Only 20% of dry days start off cloudy. P(C|RR) = 0.2 Use Baye's Theorem to revise yesterday's forecast, given that it is cloudy when you go out in the morning. Hint: Assume Rain(R) and Not Rain (RR) are mutually exclusive and collectively exhaustive events.

52% chance of rain

A car manufacturer uses two suppliers for headlights. Supplier A provides 40% of headlights and Supplier B provides the remainder. FIve percent of Supplier A's headlights are defective and ten percent of Supplier B's are defective. If a headlight was found to be defective, what are the chances it came from Supplier B?

75%

In a probability experiment, what is an outcome?

A particular result of the experiment.

How would you read the formula P(~A)?

The probability of not A.

A permutation is any arrangement of r objects selected from n possible objects. Which formula is used to calculate the number of permutations?

nPr = n!/(n−r)!