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Statistics 2 Pages

General Statistics

Question

Q 1

What is the probability of the followings?

1.  Picking at random a spade or a king on a single pick from a well- shuffled card deck

does not constitute two mutually exclusive events because we could pick the king of spades

(a) Drawing a Queen or diamond on a single pick from a deck?

(b) Drawing an ace, a club, or a diamond on a single pick from a deck?

2.  A 5 on each die in rolling 2 dice once?

3.  Two girls in a family with 2 children?

Q2 What is the probability of : (a) Inflation (I) or recession (R) if the probability of inflation is 0.3, the probability of recession is 0.2 and the probability of inflation and recession is 0.06?

Q 2

Answer all of the following

A- Choose the correct answer:

1) Classify the events as dependent or independent. Events A and B where

   P(A) = 0.7, P(B) = 0.8, and P(A and B) = 0.56

A) Independent

B) Dependent

2) Classify the events as dependent or independent. Events A and B where

   P(A) = 0.6, P(B) = 0.3, and P(A and B) = 0.17

A) Independent

B) Dependent

3) The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn.

A) Independent

B) Dependent

4) You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find theprobability that the first card is a two and the second card is a ten.               Round your answer to three decimal places.

A) 0.500

B) 0.994

C) 0.250

D) 0.006

5)  Find the probability of answering two true or false questions correctly if random guesses are made. Only one of the choices is correct.

A) 0. 5

B) 0.25

C) 0.75

D) 0.1

6)  Find the probability of answering the two multiple choice questions correctly if random guesses are made.Assume the questions each have five choices for the answer. 

     Only one of the choices is correct.

A) 0.02

B) 0.004

C) 0.4

D) 0.04

7) Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled.

     A: The result is an odd number.

     B: The result is an even number.

A) Mutually exclusive

B) Not mutually exclusive

8) Decide if the events A and B are mutually exclusive or not mutually exclusive, A die is rolled.

     A: The result is a 3.

     B: The result is an odd number.

A) Mutually exclusive

B) Not mutually exclusive

9) Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is 

   selected at random.

     A: Their birthday is in the fall.

     B: Their birthday is in October.

A) Mutually exclusive

B) Not mutually exclusive

10) Decide if the events A and B are mutually exclusive or not mutually exclusive. A student is 

      selected at random.

     A: The student is taking a math course.

     B: The student is a business major.

A) Mutually exclusive

B) Not mutually exclusive

11) The events A and B are mutually exclusive. If P(A) = 0.2 and P(B) =0.1, what is P(A and B)?

A) 0

B) 0.02

C) 0.5

D) 0.3

12) Which of the following cannot be a probability?

A) 0

B) 0.02

C) 5/3

D) 3/5

13) If one card is drawn from a standard deck of 52 playing cards, what is the probability of      

      drawing a red card?

A) 1/52

B) 1/13

C) 1/4

D) 1/2

14)  Which of the following cannot be a probability?

A) 1

B) 0.0002

C) 43

D) 85%

 15) In a survey of college students, 880 said that they have cheated on an exam and 1721 said that they have not. If one college student is selected at random, find the probability that        the student has cheated on an exam.

A) 1721/2601

B) 880/1721

C) 260/880

D) 880/2601

Q 3 

GroupsSky DivingFootballBasket ballTotal
Day1555422231
Weekend1782134233
Total3337556464

 

If a student is chosen at random, find

1-      The probability of getting a weekend or Day student.

2-      The probability of getting student who is a basket ball and Sky Diving.

3-      The probability of getting student who is football and Basket ball.

4-      The probability of getting student who is football or weekend.

5-      The probability of getting student who is Basketball and Day.

Solution

Title: General Statistics
Length: 2 pages (778 Words)
Style: N/A

Preview

What is the probability of the followings?

Picking at random a spade or a king on a single pick from a well- shuffled card deck

does not constitute two mutually exclusive events because we could pick the king of spades

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