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?

Name: 2. Suppose that you are given five shapes, each containing a number,
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Description: 2. Suppose that you are given five shapes, each containing a number, as shown below:1423(i) You choose exactly one shape at random. Assuming that the probability of choosing each shape isequal, what is the expected number of sides of the shape that

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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