Homework Help is Here – Start Your Trial Now!
Math
Statistics
MAT 271 -PRACTICE EXERCISE li 1. A landscaper has 4 mangos, 3 oranges and 2 grape trees to be planted in a row. How many different arrangements can be made? 2. In how many ways can a committee of 7 members be selected from 10 boys and 12 girls such that (i). There are at least 4 girls. (ii). There are at most 2 boys. (ii) The committee has at least 2 girls and not less than 3 boys. 3. A card is picked at random from a ordinary deck of 52 cards. Find the probability that the card is either club or ace. 4. If two fair dice are tossed, what is the probability that their sum is less than or equal to 5, given that at least one face shows a 2? 5. Let A and B be two events associated with an experiment, and suppose P(A)=0.5 and P(AUB)=0.8. Let P(B) = p. For which values of pare: (a) A and B independent? (b) A and B mutually exclusive? 6. A card is drawn from a standard deck of 52 cards and then a second is drawn without replacing the first card. If we know that the second card is a spade, what is the probability that the first card is a spade? 7. There are two identical boxes A and B. Box A contains 4 red plugs and 3 blue plugs. Box B contains 5 red plugs and 1 blue plug. The experiment is to choose a box at random and from this select two plugs one after another without replacing the plug that was selected first, then select a second plug. (i) What is the probability of selecting plugs of the same colour? (ii) What is the probability that the second plug selected is red? (iii) What is the probability that at least one plug is blue? 8. Let A and B be events with P(A) = 0.75, P (B) = 0.6 and P(AB)=0.15 Compute: (a) P (AB) (b) P (BA) (c) P(A|B) (d) P (B | A) (e) Are A and B independent? Explain why? (f) Are A and B mutually exclusive events? Explain Why? 9. One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. (a) Display the probability tree for the experiment. (b) What is the probability that a ball drawn from the second bag is black? 10. If P(A)=0.3, P(B | A) = 0.7, P(B | A)=0.2, P(C | AN B)-0.2, P(C| A B)=0.15 P(CAB)=0.8 and P(C | AB²)=0.9

MAT 271 -PRACTICE EXERCISE li 1. A landscaper has 4 mangos, 3 oranges and 2 grape trees to be planted in a row. How many different arrangements can be made? 2. In how many ways can a committee of 7 members be selected from 10 boys and 12 girls such that (i). There are at least 4 girls. (ii). There are at most 2 boys. (ii) The committee has at least 2 girls and not less than 3 boys. 3. A card is picked at random from a ordinary deck of 52 cards. Find the probability that the card is either club or ace. 4. If two fair dice are tossed, what is the probability that their sum is less than or equal to 5, given that at least one face shows a 2? 5. Let A and B be two events associated with an experiment, and suppose P(A)=0.5 and P(AUB)=0.8. Let P(B) = p. For which values of pare: (a) A and B independent? (b) A and B mutually exclusive? 6. A card is drawn from a standard deck of 52 cards and then a second is drawn without replacing the first card. If we know that the second card is a spade, what is the probability that the first card is a spade? 7. There are two identical boxes A and B. Box A contains 4 red plugs and 3 blue plugs. Box B contains 5 red plugs and 1 blue plug. The experiment is to choose a box at random and from this select two plugs one after another without replacing the plug that was selected first, then select a second plug. (i) What is the probability of selecting plugs of the same colour? (ii) What is the probability that the second plug selected is red? (iii) What is the probability that at least one plug is blue? 8. Let A and B be events with P(A) = 0.75, P (B) = 0.6 and P(AB)=0.15 Compute: (a) P (AB) (b) P (BA) (c) P(A|B) (d) P (B | A) (e) Are A and B independent? Explain why? (f) Are A and B mutually exclusive events? Explain Why? 9. One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. (a) Display the probability tree for the experiment. (b) What is the probability that a ball drawn from the second bag is black? 10. If P(A)=0.3, P(B | A) = 0.7, P(B | A)=0.2, P(C | AN B)-0.2, P(C| A B)=0.15 P(CAB)=0.8 and P(C | AB²)=0.9

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
MAT 271 -PRACTICE EXERCISE li 1. A landscaper has 4 mangos, 3 oranges and 2 grape trees to be planted in a row. How many different arrangements can be made? 2. In how many ways can a committee of 7 members be selected from 10 boys and 12 girls such that (i). There are at least 4 girls. (ii). There are at most 2 boys. (ii) The committee has at least 2 girls and not less than 3 boys. 3. A card is picked at random from a ordinary deck of 52 cards. Find the probability that the card is either club or ace. 4. If two fair dice are tossed, what is the probability that their sum is less than or equal to 5, given that at least one face shows a 2? 5. Let A and B be two events associated with an experiment, and suppose P(A)=0.5 and P(AUB)=0.8. Let P(B) = p. For which values of pare: (a) A and B independent? (b) A and B mutually exclusive? 6. A card is drawn from a standard deck of 52 cards and then a second is drawn without replacing the first card. If we know that the second card is a spade, what is the probability that the first card is a spade? 7. There are two identical boxes A and B. Box A contains 4 red plugs and 3 blue plugs. Box B contains 5 red plugs and 1 blue plug. The experiment is to choose a box at random and from this select two plugs one after another without replacing the plug that was selected first, then select a second plug. (i) What is the probability of selecting plugs of the same colour? (ii) What is the probability that the second plug selected is red? (iii) What is the probability that at least one plug is blue? 8. Let A and B be events with P(A) = 0.75, P (B) = 0.6 and P(AB)=0.15 Compute: (a) P (AB) (b) P (BA) (c) P(A|B) (d) P (B | A) (e) Are A and B independent? Explain why? (f) Are A and B mutually exclusive events? Explain Why? 9. One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. (a) Display the probability tree for the experiment. (b) What is the probability that a ball drawn from the second bag is black? 10. If P(A)=0.3, P(B | A) = 0.7, P(B | A)=0.2, P(C | AN B)-0.2, P(C| A B)=0.15 P(CAB)=0.8 and P(C | AB²)=0.9
Transcribed Image Text:MAT 271 -PRACTICE EXERCISE li 1. A landscaper has 4 mangos, 3 oranges and 2 grape trees to be planted in a row. How many different arrangements can be made? 2. In how many ways can a committee of 7 members be selected from 10 boys and 12 girls such that (i). There are at least 4 girls. (ii). There are at most 2 boys. (ii) The committee has at least 2 girls and not less than 3 boys. 3. A card is picked at random from a ordinary deck of 52 cards. Find the probability that the card is either club or ace. 4. If two fair dice are tossed, what is the probability that their sum is less than or equal to 5, given that at least one face shows a 2? 5. Let A and B be two events associated with an experiment, and suppose P(A)=0.5 and P(AUB)=0.8. Let P(B) = p. For which values of pare: (a) A and B independent? (b) A and B mutually exclusive? 6. A card is drawn from a standard deck of 52 cards and then a second is drawn without replacing the first card. If we know that the second card is a spade, what is the probability that the first card is a spade? 7. There are two identical boxes A and B. Box A contains 4 red plugs and 3 blue plugs. Box B contains 5 red plugs and 1 blue plug. The experiment is to choose a box at random and from this select two plugs one after another without replacing the plug that was selected first, then select a second plug. (i) What is the probability of selecting plugs of the same colour? (ii) What is the probability that the second plug selected is red? (iii) What is the probability that at least one plug is blue? 8. Let A and B be events with P(A) = 0.75, P (B) = 0.6 and P(AB)=0.15 Compute: (a) P (AB) (b) P (BA) (c) P(A|B) (d) P (B | A) (e) Are A and B independent? Explain why? (f) Are A and B mutually exclusive events? Explain Why? 9. One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls. One ball is drawn from the first bag and placed unseen in the second bag. (a) Display the probability tree for the experiment. (b) What is the probability that a ball drawn from the second bag is black? 10. If P(A)=0.3, P(B | A) = 0.7, P(B | A)=0.2, P(C | AN B)-0.2, P(C| A B)=0.15 P(CAB)=0.8 and P(C | AB²)=0.9
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS