2. Suppose that you are given five shapes, each containing a number, as shown below: 1 2 3 (i) You choose exactly one shape at random. Assuming that the probability of choosing each shape is equal, what is the expected number of sides of the shape that you select? (ii) We repeat the experiment in part (i), but now suppose that each number describes the probability that you choose that shape (out of 10). For example, the triangle with a 4 will be chosen with a probability of 4/10, while the square 2 will be chosen with a probability 2/10. What is the expected number of sides?
2. Suppose that you are given five shapes, each containing a number, as shown below: 1 2 3 (i) You choose exactly one shape at random. Assuming that the probability of choosing each shape is equal, what is the expected number of sides of the shape that you select? (ii) We repeat the experiment in part (i), but now suppose that each number describes the probability that you choose that shape (out of 10). For example, the triangle with a 4 will be chosen with a probability of 4/10, while the square 2 will be chosen with a probability 2/10. What is the expected number of sides?
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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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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