Question: 4. Consider the following two-class classification problem with a single feature X. The class conditional pdfs for the two classes c1 and c2 are

4. Consider the following two-class classification problem with a single feature X. The class conditional pdfs for the two classes c1 and c2 are N(4,4) and N(7,9) respectively. Assume the prior probability of the classes are 2/3 and 1/3 respectively. a. Find P(X= 5), i.e., the total probability of X = 5? b. Find the decision boundary point for MAP and ML classifiers. C. How would you classify the data with X = 5.5 using MAP rule?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Find PX 5 ie the total probability of X 5 To find PX 5 you can use the law of total probability PX ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Examine whether the Random Walk models hold for the stock market returns index rt, using the following information: Corr (rt, rs) =0.8, Corr (rt, rs)=0.7, Corr (rt, rs) =-0.6, var(rt)=1, T=500. Using...

You are a candidate for this role, make a cover letter. You have a year of all the necessary experience and a passion for customer service and social media. What you'll be doing Weekly Schedule:...

You have learned a great deal about the Internet Protocol (IP). IP is a set of rules for how data is sent across networks and arrive at the intended destination. An IP address is a numeric identifier...

How many Americans are members of labor unions?

38 For an exam given to a class, the students' scores ranged from 35 to 98, with a incan of 74. Which of the following is the most realistic value for the standard deviation? 1.12. 60, -10" Why"

=+a consulting firm that seemed to go very well. Theres a chance that they will want you to stay for a few days at the end of the semester for a round of interviews at their offices, which will mean...

1. The culture of giving and receiving payments is ingrained in China. On the other hand accepting and paying bribes is a violation of Rio Tintos code of conduct. When does a payment stop being a...

Convert the following ER Diagrams into the related logical schemas 1. ER Diagram: 2. ER Diagram: Logical Schema: 3. ER Diagr: Logical Schema

Payback Period NHD Ltd.'s retail division is considering opening new retail stores in two major northeastern cities. The retail manager has submitted a plan on how to open these stores. The division...

CP7-1 (Algo) Analyzing the Effects of Four Alternative Inventory Costing Methods [LO 7-3] Scrappers Supplies tracks the number of units purchased and sold throughout each accounting period but...

Harold's Haberdashery sells custom-made suits. Each suit is made after the customer has placed the order and has been measuredDuring the first quarter, Harold's estimates it will produce 352 suitsIt...

Walter Utilities is a dividend-paying company and is expected to pay an annual dividend of $0.45 at the end of the year. Its dividend is expected to grow at a constant rate of 9.00% per year. If...

Which of the following statements about quantitative easing (QE) and open-market purchases is true? Multiple Choice QE is similar to open-market purchases in that both are aimed at reducing...

The articles of Valley Farms Inc. inadvertently indicated that its agent for service of process was Samantha Roberts rather than Samantha Robertson. Luisa owes the corporation $30,000 and is...

1) Have you ever applied the doctrine of mean in your moral evaluation? Share the moment in your life when you applied this moral principle but if you disagree with the notion of this principle,...

IRP, PPP, and Speculating in Currency Derivatives. The U.S. three-month interest rate (unannualized) is 2%. The Canadian three-month interest rate (unannualized) is 3%. Assume interest rate parity...

9.Consider the reaction 3NO2(g)+H2O=2HNO3(aq)+NO(g) where Delta H=-137 kJ.How many kilojoules are released when 92.3g of NO2 reacts?

Suppose that X1, . . . , X10 form a random sample from a normal distribution for which both the mean and the variance are unknown. Construct a statistic that does not depend on any unknown parameters...

Consider again the conditions of Exercise 7, and let = 30 + c11, where c1 is a constant. Determine an unbiased estimator For what value of c1 will the M.S.E. of be smallest?

Suppose that the p.d.f. of a random variable X is as follows: a. Find the value of t such that Pr(X t) = 1/4. b. Find the value of t such that Pr(X t) = 1/2. r for 0x4. 0 otherwise.

A student runs an experiment to study the effect of three different mufflers on gas mileage. He devises a system so that his Jeep Wagoner uses gasoline from a one-liter container. He tests each...

We also have data on the protein content of the cereals in Exercise 19 by their shelf number. Here are the box plot and ANOVA table: a) What are the null and alternative hypotheses? b) What does the...

Fertilizers A biology student is studying the effect of 10 different fertilizers on the growth of mung bean sprouts. She sprouts 12 beans in each of 10 different petri dishes, and adds the same...