Assume two classes Green and Red have the same prior probabilities. Using the 0-1 loss, derive the Bayes classifier. Simplify the solution as much as you can.

Q: Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a)…

A: If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h.

Q: In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on…

A: From the given information we havethere are 38 equally spaced slots on the wheel…

Q: A club with 23 members must choose a president, a vice president, a treasurer, and a secretary. How…

A: n=23r=4

Q: Consider the random variable X with PDF f(x) = e−x / (1 + e−x)2 , x ∈ R.

A: From the given information,the random variable X has pdf is,

Q: Q 2.5. Let X and Y be independent Exponential (A) random variables. Let M = min{X, Y} and U = max{X,…

A:

Q: The amount X spent (in $) by customers in the grocery store express lane follows some right-skewed…

A: Mean() = 24Standard deviation() = 15Sample mean() =

Q: Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse…

A: Mean=1050Standard deviation=150

Q: The director of a medical hospital feels that her surgeons perform more operations per year than the…

A: Mean() = 211Sample size (n) = 15Sample mean (x̅) = 212.6Standard deviations (s) = 3.8Significance…

Q: Suppose X ∼ Binom(n, p). Show that E[X] = np.

A: Suppose Its probability mass function is defined as,Where,

Q: When circuit boards used in the manufacture of compact disc players are tested, the long-run…

A: sample size(n)=15p=0.10Let "x" be the number of defective boards in a random…

Q: HL Assists and Total Points A random sample of scoring leaders from the National Hockey League (NHL)…

A: A random sample of scoring leaders from the National Hockey League (NHL)  is given.

Q: Ten fair coins are tossed in the air. What is the probability that only one of the coins will end up…

A: From the provided information,Ten fair coins are tossed in the air.Probability of getting heads (p)…

Q: Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 4xy; 0<x<1, 0<y<1…

A: Let the joint pdf for the continuous random variables X and Y be:f(x,y) = {4 xy; 0&lt;x&lt;1,…

Q: Number of moving violations (X) An individual who has automobile insurance from a certain company is…

A: Number of moving violations(X)P(X)00.210.220.230.240.2Sum1

Q: A gene can be either type A or type B, and it can be either dominant or recessive. If the gene is…

A: Given that Events A: gene of type A B : gene of type B D: gene is dominantR: gene is…

Q: An experiment is performed were in 6-sided die is rolled and then 3-color spinner is spun. The…

A: An experiment is performed were in 6-sided die is rolled and then 3-color spinner is spun. The…

Q: Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number…

A: The regression equation is,Y=-45.7950 + 1.34704 X. r= 0.858. xy573045157262694258194726

Q: Waiting times for customers in an airline reservation system are (in seconds) 953, 955, 948, 951,…

A: Data953955948951957949954950959

Q: A truck driver is waiting to join the traffic on the service road of a highway. The truck driver…

A: The given problem describes the vehicles arriving at the service road as a Poisson process with an…

Q: Given =r0.92, find the coefficients of determination and non-determination and explain the meaning…

A: The correlation coefficient:

Q: Continuous random variables X and Y have joint density 12 (x² + xy), 0 ≤ x ≤ 1, function f(x, y) 0 ≤…

A: Given that the joint density function of X and Y is

Q: In a large population, 66 % of the people have been vaccinated. If 3 people are randomly selected,…

A: It is given that 66% of the people have been vaccinated.

Q: Question 4 An insurance company offers its policyholders a number of different payment options. For…

A: CDF : Cummulative distribution function is defined as follows :CDF of a random variable X is defined…

Q: first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl…

A: n = 5 , p = 0.5Let X be the number of child being a girl.p be the probability of child being a…

Q: According to an article, 49% of adults have experienced a breakup at least once during the last 10…

A: According to the given information,Probability of success, p = 49% = 0.49Sample size, n = 9So,…

Q: Do you know the mutiple choice?

A: a)P(X=5)=0b)P(X=0)=0.696c)P(X≥1)=0.304

Q: A study showed that 24% of all firms in Country A are owned by women. You are phoning local…

A: n = 3, p = 24% = 0.24Let X be the number of all firms in Country A are owned by women.p be the…

Q: 7. Suppose (X(t), t≥ 0) is a continuous-time Markov chain with state space S = {1,2,3,4} and…

A:

Q: 19 people apply for a job as assistant manager of a restaurant. 10 have completed college and the…

A: Given,Total number of people, N = 19Number of people are college graduates k = 10Sample size, n =…

Q: Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number…

A: The standard error of the estimate be a method to measure the accuracy of the predictions of a…

Q: What is the likelihood of selecting a 4-digit number in the win-4 lottery, where one digit appears…

A: The sequence of 4-digit number may be0 three times with one : 0001, 0010, 0100, 1000  = 4Similarly o…

Q: Refer to Exercise 3.122. Assume that arrivals occur according to a Poisson process with an average…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Medical Operations The director of a medical hospital feels that her surgeons perform more…

A: we have given that random sample =n=15

Q: The probability that a car fails its yearly inspection is 0.4. Suppose that any two cars are…

A: Given the probability that a car fails its yearly inspection is 0.4.That is, Probability of success,…

Q: In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper…

A: In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a…

Q: being on time is 0.74. The probability of a repair being satisfactory is 0.41. The probability of a…

A: It is given that P( on time ) = 0.74P( satisfactory ) = 0.41P( on time and satisfactory ) = 0.26

Q: At a music store in New York​ City, 64 people entering the store were selected at random and were…

A: The provided information is as follows:The total number of music stores is .The total number of the…

Q: The board for a modified Snakes and Ladder game is shown The game is played with a tetrahedron…

A:

Q: Can you help me please: Suppose you roll two dice: let A denote the event that the sum of two dice…

A: Roll two dice.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5)…

Q: If there are 23 defective items within a population of 1,000 items, what is the probability of…

A: Solution-:Given: N=1000,M=23, n=50We want to find,

Q: How many times u need to throw a coin to get 2 1's in a row assuming the probablity of throwing 1 is…

A: Probability of throwing 1 is 4/5Probability of throwing 0 is 1/5We must determine the number of…

Q: You toss independently a fair coin and you count the number of tosses until the first tail appears.…

A: A fair coin : P(tail) = 1/2 Fair coin tossed independently until first tail appears , If coin tossed…

Q: Discrete Probability Distributions: 8. Suppose that two 6-sided dice are rolled. Let a random…

A: To solve this problem, we first need to list all the possible outcomes when rolling two 6-sided…

Q: Seed are often treated with fungicides to protect them in poor draining, wet environments. A…

A: Total number of seeds=105=treated seeds5=untreated seeds

Q: 4. Differentiating pooled variance and the estimated standard error of the difference in sample…

A: The objective is to differentiate pooled variance and the estimated standard error of the difference…

Q: Three performers are invited to an audition. Assume all three performers arrive on their own. Here,…

A: Identify the random variable: In this problem, the random variable is X, which represents the number…

Q: The chance that a U.S. police chief believes that the death penalty significantly reduces the number…

A: We have given thatnumber of trials (n) = 25Probability of U.S. chief police believing death penalty…

Q: Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob- abilities p₁,…

A: , , and are independent Bernoulli random variables. ,  and are the probability of success of these…

Q: Consider an auto mechanic evaluating their performance. They decide to use two categories for…

A: A repair job can be either late or on time.A repair job can be either satisfactory or…

Q: Some people are in favor of reducing federal taxes to increase consumer spending and others are…

A: We are asked to find the number of possible outcomes when two people's opinions are recorded on a…