At Zambia ICT college, 79% of the of student population were born in Ndola, 20% in the rest of the on the Copperbelt (Except Ndola) and the remaining 1% in Zambia (Except the copperbelt). Two people are selected at random. a. Using your graph paper, represent the above information on a tree diagram b. Find the probability that at least one of these people was born in Ndola. c. Find the probability that both of these people were born on the rest of the copperbelt given that neither was born in the rest of Zambia. d. Using Boolean laws, show that [(A U B) - (ANB)]' = Ø The equation x2 + 2px + (3p + 4) = 0, where p is a positive constant, has equal roots e. Find the value of p f. For this value of p, solve the equation x2 + 2px + (3p + 4) = 0
At Zambia ICT college, 79% of the of student population were born in Ndola, 20% in the rest of the on the Copperbelt (Except Ndola) and the remaining 1% in Zambia (Except the copperbelt). Two people are selected at random. a. Using your graph paper, represent the above information on a tree diagram b. Find the probability that at least one of these people was born in Ndola. c. Find the probability that both of these people were born on the rest of the copperbelt given that neither was born in the rest of Zambia. d. Using Boolean laws, show that [(A U B) - (ANB)]' = Ø The equation x2 + 2px + (3p + 4) = 0, where p is a positive constant, has equal roots e. Find the value of p f. For this value of p, solve the equation x2 + 2px + (3p + 4) = 0
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![QUESTION FIVE
At Zambia ICT college, 79% of the of student population were born in Ndola, 20% in
the rest of the on the Copperbelt (Except Ndola) and the remaining 1% in Zambia
(Except the copperbelt). Two people are selected at random.
a. Using your graph paper, represent the above information on a tree diagram
b. Find the probability that at least one of these people was born in Ndola.
c. Find the probability that both of these people were born on the rest of the copperbelt
given that neither was born in the rest of Zambia.
d. Using Boolean laws, show that [(A U B) – (An B)]' = Ø
%3D
The equation x2 + 2px + (3p + 4) = 0, where p is a positive constant, has equal roots
e. Find the value of p
f. For this value of p, solve the equation x2 + 2px + (3p + 4) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fbc4371-5f85-4f78-b761-1e93dfb0573e%2Fae1238ea-71f4-481b-85e6-b9c40f4a335b%2Foxjivr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION FIVE
At Zambia ICT college, 79% of the of student population were born in Ndola, 20% in
the rest of the on the Copperbelt (Except Ndola) and the remaining 1% in Zambia
(Except the copperbelt). Two people are selected at random.
a. Using your graph paper, represent the above information on a tree diagram
b. Find the probability that at least one of these people was born in Ndola.
c. Find the probability that both of these people were born on the rest of the copperbelt
given that neither was born in the rest of Zambia.
d. Using Boolean laws, show that [(A U B) – (An B)]' = Ø
%3D
The equation x2 + 2px + (3p + 4) = 0, where p is a positive constant, has equal roots
e. Find the value of p
f. For this value of p, solve the equation x2 + 2px + (3p + 4) = 0
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