the table below shows the proportional breakdown of the types of donuts purchased by a customer using proper probability notation how can proportion of vanilla donuts be represented given the donuts that have sprinkles. ---Below is an example of a probability problem often used in educational studies to familiarize students with the concepts of conditional probability and proportional breakdowns. ### Example Problem:**Problem Statement:**The table below shows the proportional breakdown of the types of donuts purchased by a customer. **Table:** Proportional Breakdown of Donuts Purchased| | Vanilla | Chocolate ||--------------------|-----------------|--------------|| **Sprinkles** | 0.05 / P(S | V) = 0.142 | 0.10 / P(S | C) = 0.166 || **Glazed** | 0.10 / P(G | V) = 0.166 | 0.10 / P(G | C) = 0.166 |**Question:** Using proper probability notation, how can the proportion of vanilla donuts be represented given the glazed donuts?---**Explanation of the Table:**1. **Rows and Columns:** The table is divided into rows and columns, with each cell representing the proportion of donuts with specific attributes. The two main attributes are the types of donuts (Vanilla, Chocolate) and the features they possess (Sprinkles, Glazed). 2. **Proportions:** The ratios given in the cells denote the probability of having the donut type given they have the feature: - For example, in the cell under 'Vanilla' row and 'Sprinkles' column: the value "0.05 / P(S | V) = 0.142" represents the proportion of vanilla donuts that have sprinkles. - Similarly, in the 'Chocolate' row and 'Sprinkles' column: the value "0.10 / P(S | C) = 0.166" denotes the proportion of chocolate donuts that have sprinkles. 3. **Conditional Probabilities:** The notation P(S | V) represents the conditional probability of a donut having sprinkles given that it is a vanilla donut. Correspondingly, P(G | V) and P(G | C) represent the conditional probabilities for glazed donuts among vanilla and chocolate types, respectively.In the context of the given problem, the students are required to apply the concept of conditional probabilities to determine how the proportion of vanilla donuts can be represented given that the donuts are glazed.This type of problem helps students practice applying theoretical knowledge of probability in practical scenarios.---

9. The table below shows the proportional breakdown of the types of donuts purchased by a customer. Using proper probability not have sprinkles? Sprinkles Glazed Vanilla 0.083 0.25 Chocolate 0.5 0.167 OP(SIV) = 0.166 OP(VIS) 0.142 OP(VIS) = 0.166 OP(SIV)≈ 0.142

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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