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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)
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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no.9a
(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
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
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