1,....An lid distributed random variables, and their joint distribution is given as a product of their rginal distributions f(x₁) = [II_₁9x₂ > Im elsewhere 0 ere X iid distributed random variables. Find the maximum likelihood estimator.

Q: A population of values has a normal distribution with μ=116.7�=116.7 and σ=83.8�=83.8. You intend to…

A: From the provided information, Mean (µ) = 116.7 Standard deviation (σ) = 83.8 X~N (116.7, 83.8)…

Q: Please give details on steps used every step of the way. Three servers (A, B, C) are busy when a job…

A: i. To determine the expected time until the job is assigned, we need to calculate the expected…

Q: A bicycle factory runs two assembly lines, A and B. 96% of line A's products pass inspection and 88%…

A: Solution-: Given: Factory bike come off assembly line B=40%=0.40           Factory bike come off…

Q: If n=200 and X=70, construct a 99% confidence interval estimate for the population proportion. SIS…

A:

Q: A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a red…

A: The events are given by D: card is red. F: card is 4 card.

Q: A die is rolled 6 times. Find the probability of rolling no more than 2 fives. The probability of…

A: The no.of times die is rolled is, n=6 Here, each number of die is having same probability. That is,…

Q: sunny The percent of fat calories that a person in America consumes each day is normally distributed…

A: X~N( μ , ?)   μ=36 , ?=11   Z-score =( x - μ )/?

Q: help with question b)

A: Using Bayes' formula, we have: P(Y=0|X=25) = f(25|0)P(0)/f(25) where f(25) is the marginal density…

Q: The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The…

A: Answer  Given  X      Y        X*Y       X^2          Y^2  5      9         45        25…

Q: 62% of all students at a college still need to take another math class. If 4 students are randomly…

A: given data, here p= p(student need to take another math class)p=0.62q=1-p=1-0.62=0.38x=no. of…

Q: would you need to increase the sample size to decrease the width of the interval to half its…

A: Level of confidence and standard deviations are constant. length of CI (new)=1/2 orginal CI

Q: 49% of all violent felons in the prison system are repeat offenders. If 48 violent felons are…

A: given data, p(reapeat offenders)=0.49p=0.49q=1-p=1-0.49=0.51x= no. of reapeat offendersn=48

Q: (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 22.7 and 38.6. (e)…

A: We have given that  μ=28, σ=5.3

Q: It is thought that the front cover and the nature of the first question on mail surveys influence…

A: For plain cover: X1=103 Sample size=(n1)=312 For skydiver cover: X2=107 Sample size=(n2)=319

Q: 3. Suppose that X is uniformly chosen from {1,2,3} and (Y | X = k) ~ Binomial(2, 4). We have a…

A: X follows uniform distribution from 1,2,3 and Y | X=k~Binomial2,k4

Q: what is the probability that an image identified as containing the object by the model actually…

A: As per GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING.  Here given,…

Q: There are 12 black socks, 15 dark brown socks, and 20 dark blue socks in a drawer. It is dark and…

A: In a drawer, The number of Black Socks = 12 The number of Dark Brown Socks = 15 The number of Dark…

Q: My daughter likes to play Candyland. This is a game with colored spaces on a board. There are 66…

A: Given data:

Q: Classify each scenario as a cross-sectional study or a longitudinal study. Make sure your answers…

A: (a). This is a longitudinal study because the group of kidney transplant recipients is followed over…

Q: The time to complete an exam is approximately Normal with a mean of 53 minutes and a standard…

A: We have given that, Mean (μ) = 53 and standard deviation (σ) = 4

Q: (10 points) In a study to estimate the proportion of residents in a city that support the…

A: Given: P^=X+9002900

Q: Let N be the number of insurance claims per year, and N is following a Poisson distribution, with a…

A: The equation to calculate the probability P(N > 10200) can be written as: P(N > 10200) = 1 -…

Q: In a growing industry, the mean number of hours of productivity lost by employees per week due to…

A: Given :  Population data is normally distributed :  Mean = 8 hours Standard deviation = 2…

Q: Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 72 C:= C == 2 ( x ₁ = ") ² ~ x²(x). i=1 ), denote the a-quantile of x2 (n) by qn (a). Using this…

A: *Answer:

Q: A factory tests a random sample of 17 transistors for defects. The probability that a particular…

A: probability thst transistor will be defective =0.06 n=17p(defective)=0.06p(no…

Q: a checkout counter at a supermarket completes the process according to an exponential distribution…

A: (a)   Obtain the probability that customer leaves the checkout counter more than 8 minutes after…

Q: Data are distributed according to a probability density function f(x) = 1.52 (15) with domain of z…

A: The probability density function is given by f(x)=11.5(2π)e-12x(-0.95)21.5

Q: The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The…

A: Answer  Given  X    5     6    7      6      6     8      7     5 Y   9     10   10   11   12     13…

Q: The level of nitrogen oxides (NOX) i exhaust of a particular car model varies with m grams per mile…

A: Population mean=0.8 Population standard deviation =0.17

Q: A study completed in 2018 found that approximately 1 out of every 20 people have walked out of a…

A: given data P(walk out restaurant without paying) = 120∴ p = 0.05sample size (n) = 150

Q: A student is taking the online homework which allows at most 10 attempts and keeps attempting until…

A: A student is taking the online homework which allows at most 10 attempts and keeps attempting until…

Q: When flipped, a coin has a probability of 0.3 of landing “heads”. The coin is flipped 12 times. Each…

A: The random variable X is the number of heads The probability of getting a head is 0.3 The coin is…

Q: f(x) =  1 4e−x/4     for x ≥ 0 (a) Write the formula for  P(x ≤ x0).       (b) Find  P(x ≤ 3).…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Let X N, 02). The pdf of X is given by f(x) = √2π0² (a) In class I showed that E[X] = . Show that…

A: Given that X~Nμ,σ2. The pdf of X is f(x)=12πσ2e-x-μ22σ2, where -∞<x<∞. The expected value of X…

Q: The length of human pregnancies is approximately normal with mean μ = 266 days and standard…

A: (d) We are given that the length of human pregnancies is approximately normally distributed with a…

Q: Let E be the event where the sum of two rolled dice is greater than 99. List the outcomes in Ec.

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

Q: One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10…

A: 1) Given : John counted 135 dogs.  Here 47 are leash playing From the leash playing 10 are…

Q: Two students read a news report about catfish hunting pigeons next to rivers. The report stated that…

A: There are two students read a news report about catfish hunting pigeons next to rivers. Student A…

Q: In its 2016 Auto Reliability Survey, Consumer Reports asked subscribers to report their maintenance…

A: a. Suppose the population variance of annual repair cost for the 4 years old automobiles is σ12 and…

Q: Measurements of scientific systems are always subject to variation, some more than others. There are…

A: f(x)=k(2-x2); -1≤x≤1

Q: factory worker will quit with probability 1⁄2 during her first month, with probability 1⁄4 during…

A: To model this situation as a Markov chain, we need to define the state space, transition…

Q: Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling…

A: Here we have given Average time = 3.0 We have given that distribution is exponential  Mean = 1/λ =…

Q: The number of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Normal distribution is known as symmetrical distribution,  Symmetrical means ( no skewness )  It…

Q: A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green…

A: 8 black ribbons12 green ribbons__________________20 total ribbons

Q: Remember, the expected value of a probability distribution is a statistical measure of the average…

A: Given:-               The expected value of a probability distribution is a statistical measure of…

Q: Please provide details on steps used to solve the problem below. A maintenance unit receives…

A: This question involves the analysis of request arrivals from three different branches of a company…

Q: racing stripes on their back and some do not. Researchers wanted to sample the population and use a…

A: We have to determine which statement is true for null hypothesis H0.

Q: A machine learning model is designed to predict whether a given email is spam or not. The model has…

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

Q: ibe the sampling distribution of p. Assume the size of the population is 30,000. = 1200, p = 0.524…

A: Given that  Sample size n =1200 , p=0.524