QUESTION 4 There are three sets of traffic lights on Karinne's journey to work. The independent probabilities that Karinne has to stop at the first, second ar third set of lights are 0.4, 0.8 and 0.3 respectively. (i) Draw a tree diagram to show this information. (ii) Find the probability that Karinne has to stop at each of the first two of lights but does not have to stop at the third set. (iii) Find the probability that Karinne has to stop at exactly two of the thr sets of lights. (iv) Find the probability that Karinne has to stop at the first set of lights, given that she has to stop at exactly two sets of lights.

QUESTION 4 There are three sets of traffic lights on Karinne's journey to work. The independent probabilities that Karinne has to stop at the first, second ar third set of lights are 0.4, 0.8 and 0.3 respectively. (i) Draw a tree diagram to show this information. (ii) Find the probability that Karinne has to stop at each of the first two of lights but does not have to stop at the third set. (iii) Find the probability that Karinne has to stop at exactly two of the thr sets of lights. (iv) Find the probability that Karinne has to stop at the first set of lights, given that she has to stop at exactly two sets of lights.

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Description: QUESTION 4There are three sets of traffic lights on Karinne's journey to work. Theindependent probabilities that Karinne has to stop at the first, second andthird set of lights are 0.4, 0.8 and 0.3 respectively.(i) Draw a tree diagram to show this i

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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QUESTION 3
Boxes of sweets contain toffees and chocolate. Box A contains 6 toffees and
4 chocolates, box B contains 5 toffees and 3 chocolates, and box C contains
3 toffees and 7 chocolates. One of the boxes is chosen at random and two
sweets are taken out, one after the other, and eaten.
(i) Find the probability that they are both toffees.
(ii) Given that they are both toffees, find the probability that they both come
from box A.

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