determinr the range and standard deviation of the set of data 4,8,9,11,13,15

Q: (a) Compute E(X). (b) Compute E(Y).

A: Here given joint probability distribution of X and Y.Here for E(X) and E(Y) first calculate f(x) and…

Q: The class includes 15 male and 20 female students. We need to assign 5 students per group for senior…

A: The objective of this question is to find out the number of ways to divide a class of 35 students…

Q: Listed below are the heights (cm) of winning presidential candidates and their main opponents from…

A: PresidentOpponent178180177183188188188173191169175173185177183185188175

Q: 2. Suppose that Y is a binomial random variable based on n trials with success probability p and…

A: a) To show that for , we can use the properties of the binomial distribution.Y is a binomial random…

Q: A company is taking a survey to find out whether people like its product. Its last survey indicated…

A:

Q: A and B play 12 games of chess, of which 6 are won by A, 4 are won by B, and 2 end in draw. They…

A: Given that  won games, won games, and  games ended in a draw, out of  games played.

Q: 8.15. A box contains 5 red and 5 blue marbles. Two marbles are withdrawn ran- domly. If they are the…

A: a) First, let's consider the probabilities of the two possible outcomes:You win $1.10 (positive…

Q: A twig of length 1 is broken into two pieces at random, and one piece is thrown away. The remaining…

A: A twig of length 1 is broken into two pieces at random and one piece is thrown away. The remaining…

Q: Problem 10. A pool of 12 semifinalists for a job consists of 8 men and 4 women. Because all are…

A: 10) Given,Total number of semifinalists = 12. That is, population size,N = 12Number of men, n(M) =…

Q: License plates in a particular state are to consist of 4 digits followed by 2 uppercase letters. a)…

A: a) To calculate the number of different license plates in this state if repetition of letters and…

Q: The following questions are given to a group of subjects. Which of the following do you prefer? A:…

A: There are multiple questions(>1) at the same time. According to the guidelines of Bartleby, we…

Q: Q1 Suppose X; ~ N(µ, o²), i = 1, 2,...,n and Z₂ N(0, 1), i = 1, 2, ..., k, and all random variables…

A: As per the Bartleby guildlines we have to solve first three subparts as specified by student rest…

Q: Two continuous random variables Y₁ and Y₂ has the joint density function y2, if y₁>0, y2 > 0, y₁ +…

A:

Q: 12. The number of new individuals in a population of animals is sometimes approximated by…

A: The survivor functions are given by:where,  and  are real numbers with .

Q: Calculate P(FIE), if P(EF) = 0.76 P(E) = 0.98 P(F) = 0.27 Round your answer to five decimals.…

A: Given that,P(E|F) = 0.76P(E) = 0.98P(F) = 0.27

Q: Problem 2. Fifteen new employees, two of whom are married to each other, are to be assigned fifteen…

A: The provided information is as follows:The total number of new employees is 15, two of whom are…

Q: 3. Use indicator random variables to compute the expected value of the sum of n dice.

A: Given the experiment of tossing n dice.

Q: pose that Y has an exponential distribution with mean Beta. Show that 2Y/Beta has a chi square…

A: It is given that Y has an exponential distribution with mean Beta, i.e. Y∼Exp(1/β) since for…

Q: 3. Define the random variable R where R = X₁ + X₂ +L + Xy where the random variables X, are iid each…

A: The random variable R is defined as  where the random variables are iid each being Cauchy(3, 2) and…

Q: Four independent flips of a fair coin are made. Let X denote the number of heads obtained. Compute…

A: Four independent coins are flipped together.It is given that X denotes the number of heads obtained…

Q: A survey group divides Anthem into 400 regions. They will randomly select 25 regions to survey about…

A: The survey group has a list of random numbers:106401689839235656622982123895926855176278094

Q: Fill in the blank with an appropriate word, phrase, or symbol(s). A subcollection of the outcomes of…

A: Question is ,A sub collection of the outcomes of an experiment is called a(n) ____________.

Q: A spinner with 10 equally sized slices has 4 yellow slices, 3 red slices, and 3 blue slices. Ashley…

A: A spinner has 10 equally divided slicesNumber of red slices=3Number of yellow slices=4Number of blue…

Q: If 10% of the population has a certain characteristic, what is the probability that in a random…

A: n = 10, p = 10% = 0.10, q = 1 - p = 1 - 0.10 = 0.90X ~ Bino(n = 10, p = 0.10)Let X be the number of…

Q: A fair six-sided die is rolled independently 900 times. Find the lower bound for the probability of…

A: A fair six-sided die is rolled independently 900 times. Find the lower bound for the probability of…

Q: Suppose that A and B are independent events such that P (A) = 0.10 and P(B) = 0.50. Find P(An B) and…

A: P(A)=0.1P(B)=0.5events A and B are independent

Q: A bag contains 24 marbles, of which 6 are blue and 8 are green. One marble is drawn from the bag.…

A:

Q: A new county hospital is attempting to determine whether it needs to add a particular specialist to…

A: 16) Given,Five percent of the general hospital population in the county contracts the illness the…

Q: 8.18. Let X be a binomial random variable with parameters n and p, which means that its mass…

A: Let X~B(n,p)The probability mass function of XP(X=x)=nCxpx(1-p)n-x x=0,1,2,....n Formula…

Q: Patricia bought 16 plants to arrange along the border of her garden. How many distinct arrangements…

A:

Q: Q/ 100 lamp a two factories manufacture electric bulba 7% of the bulbs from factory (A) and 10% from…

A: The factory (B) produce three times as many bulbs as factory (A) each weak.

Q: (a) The probability that the defective tire is made by M₁. (b) The probability that the defective…

A: A warehouse has tires from two manufacturers, M₁ and M2. The ware- house has made the following…

Q: (i) Four independent flips of a fair coin are made. Let X denote the number of heads obtained. Plot…

A: "As per the Bartleby guidelines, we are entitled to solve only one question at a time.As you have…

Q: Out of all ELT's, 80% are AMC, 15% are BC, and 5% are CC. AMC has a 4% defective rate, BC has a 6%…

A: Given,Out of all ELT's 80% are AMC, 15% are BC and 5% are CC.Let's consider AMC as A , BC as B and…

Q: 2. Consider the following R code. Some of the output is missing. For (a)-(d), (i) describe what the…

A: R-code:>x<-rnbinom(1000,2,0.2)(a) > sqrt(var(x))(b) > mean(x<=2)(c) >…

Q: Consider the following data: 5 6 7 P(X x) 0.2 0.2 0.1 1000 X Step 1 of 5: Find the expected value…

A: From the provided information,The probability distribution is as follow:x56789P(X=x)0.20.20.10.30.2

Q: A normal population has a mean of 61 and a standard deviation of 22. You select a random sample of…

A:

Q: Proportion of the Vegetable Production of vegetables in the North Al Batinah farms, from the whole…

A: It appears that you're dealing with a binomial distribution since you are considering a proportion…

Q: you run a small airline that operates ten 30 seat airplane flights per dat. for each flight, you can…

A:

Q: Manufacturer A B C D 25 23 25 26 23 21 25 27 21 23 25 26 23 24 21 24 To test whether the mean time…

A: Machine (A) : { 25,23,21,23 } Machine (B) : { 23,21,23,24 } Machine (C) : { 25,25,25,21 } Machine…

Q: Two continuous random variables Y₁ and Y₂ has the joint density function ( 2142, if y₁ > 0, y2 > 0,…

A:

Q: A beam may have an internal crack in it. You are entrusted with the decision of whether to spend…

A: The given information is as followsThe cost of repair is The damage if the beam is fails is

Q: An electrical firm manufactures light bulbs that have a length life with normal distribution, and a…

A: From the provided information,Confidence level = 99%

Q: About 1 in 1,100 people have IQs over 150. If a subject receives a score of greater than some…

A: About 1 in 1100 people have IQs over 150. The probability of individual with IQs less than 150…

Q: have a total of two bikes that i keep at school or at home. I always bike to and from school unless…

A: I have a total of two bikes that I keep at school or at home. I always bike to and from school…

Q: Problem 1. Teams A and B play a series of games until one team wins four games. We assume that the…

A: Given,Two teams A and B will play series of  games until one team wins 4 games.The probability that…

Q: 4) Two random variables X and Y are distributed according to fx,y(x, y) = {K(x+y), 0≤x,y≤1 otherwise…

A: Given, continuous  probability  density function.Concept:We know that total ofallthe probability…

Q: The table shows the numbers (in thousands) of officers and enlisted persons on active duty in a…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: During the past year in the maternity ward of a hospital in a large city, 1092 males were born and…

A: It is given that No. of males born = 1092No. of female born = 1389Total babies born = 2481

Q: The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year…

A: Answer Given,The population mean = 2337The population standard deviation = 572.7