9. (a) An Urn contains 3 red, 4 white and 5 blue discs. If three discs are selected randomly one at a time without replacement, find the probability that the three discs are of different colours.
9. (a) An Urn contains 3 red, 4 white and 5 blue discs. If three discs are selected randomly one at a time without replacement, find the probability that the three discs are of different colours.
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...
Related questions
Topic Video
Question
no.9a
Transcribed Image Text:(ii) Comment on your result.
SECTION B
9. (a) An Urn contains 3 red, 4 white and 5 blue discs. If three
discs are selected randomly one at a time without replacement,
find the probability that the three discs are of different colours.
(b) The probability that a fisherman catches fish is 0.7 on a
cloudy day and 0.2 on a clear day. If the probability of a day
being clear is 0.6, find the probability that the day was cloudy
given that he did not catch fish.
10. (a) Use the trapezium rule with 7 ordinates to estimate the
value of
correct to 4 decimal places.
(b) Caleuleta the porsentage error in using the trapeziım: '-
to estimate i
figures.
11. (a) A particle is executing simple harmonic motion with
amplitude 2 metres and period 12 seconds. Calculate the
maximum speed of the particle.
(b) If initially the particle was moving at a maximum speed, find
the:
(i) distance moved by the particle until its speed is half the
maximum value
(ii) time taken by the particle to travel this distance
12. (a) A machine cuts poles whose lengths are normally
distributed with mean 4.2m and standard deviation 1.2m. If a
random sample of 100 poles is selected, find the probability that.
a pole selected at random has its mean length
(i) in the range 4.0m to 4,3m
(ii) more than 4.1m
(b) A survey of 150 households asked how many people
regularly eat bread for breakfast. The results of the survey are
summarised as below
integral (a) above correc.co 2 .
Atukwase Pius
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON