Math

ProbabilityQ&A LibraryThe country withe the greatest population density is Monaco, where approximately 32,500 people live in an area of 1.95 square kilometers. What is the population density Monaco in people per square kilometer? Compare this density to that of the US, Which is approximately 31 people per sqare kilometer?Start your trial now! First week only $4.99!*arrow_forward*

Question

The country withe the greatest population density is Monaco, where approximately 32,500 people live in an area of 1.95 square kilometers. What is the population density Monaco in people per square kilometer? Compare this density to that of the US, Which is approximately 31 people per sqare kilometer?

Tagged in

Math

Probability

Find answers to questions asked by students like you.

Q: P(56<X<68) assume that the random variable X is normally distributed with mean is 50 and stand...

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the ...

Q: Let Xi be IID random variables which have the same law as X. Let L(t) = E(e^tX.) Suppose that this i...

A: Moment generating function (MGF):The moment generating function (MGF) of a random variable X, denote...

Q: Recall that we say that a random variable X is in the vector space L^2 if it has finite second momen...

A: Properties of a norm:In order to prove that ||X||2 = √E(X2) is a norm, it must satisfy 3 conditions:...

Q: Team sales personnel think that merchandise sales at their upcoming sporting event could be related ...

A: We can use the excel data analysis tool to find the answer to the given question. The steps are as f...

Q: Need help on this concept

A: Hello. The information about the nine sheets of paper is missing in the question and hence we are no...

Q: Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in c...

A: According to the question, the inclusions follow Poisson distribution which is given by:

Q: What is the probability of a z-score greater than -0.02? refer to the table attached

A: The normal distribution:A continuous random variable X is said to follow normal distribution with me...

Q: The table shows the distribution, by age and gender, of 30.1 million people who live alone in a ce...

A: Conditional probability of two events:The conditional probability is the probability of one event gi...

Q: A fair, six sided die is rolled once. Find the probabilities requested below: (Note: the prime numbe...

A: Given, a fair die rolled once,So, the total case will be 6.Formula used shown below:

Q: Four balls are numbered 1 through 4 and placed in a box. Two balls are selected without replacement....

A: We have four balls are numbered 1 through 4 and placed in a box.Now, we are going to select 2 balls ...

Q: Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Ac ∩ B.a) {4, ...

A: Given information:The given events are as follows:A = { 4, 6 }, B = { 6, 11, 23 }, D = { 35 } and th...

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is fo...

A: Standard deviation:The standard deviation indicates by how much each observation differs from a cent...

Q: c) If n is divisible by 6, then n is divisible by 3. If n is divisible by 3, then the sum of the dig...

A: From the given above information and also from the result, we can observe in the following way:

Q: 1.4.12 Let Q(x) be the statement “x+ 1 > 2x.” if the domain consists of all integers, what are th...

A: Given statement Q(x) "x+1 > 2x"Domain consists of all integers.∃xQ(x) means there exists a value...

Q: A computer system uses passwords that contain exactly 4 characters, and each character is 1 of the 2...

A: Let event A represents the password that consists of only letters.The password consists of 4 charact...

Q: In testing a new drug, researchers found that 3% of all patients using it will have a mild side effe...

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

Q: The lifetime mileage of a car can be modeled as a Weibull variable with parameter λ = 1 per 150000 m...

A: It is given that the lifetime mileage of a car can be modelled as a Weibull variable with parameter ...

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.922 , what is ...

A: The sum of probabilities of different cases of a scenario is always 1.Here after taking the vaccine,...

Q: A company is selecting 6 people to be on a committee. There are 32 employees eligible to be on the c...

A: We have given,

Q: Determine whether the following problem involves a permutation or combination. (It is not necessary...

A: We have given,Number of people needed to test = 37Total number of people volunteered for this test =...

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: Computing the probability that a component lasts more than 1,156 hours before failure:Define the ran...

Q: In a study of environmental lead exposure and IQ, the data was collected from 148 children in Boston...

A: Denote X as the IQ scores. It is given that X is normally distributed, with mean μ = 115.9 and stand...

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stocha...

A: Given that X(n, p) is a binomial random variable with parameters n and p.We will prove the given sta...

Q: . Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with...

A: For bayes' theorem, its always better to draw probabilities in tree diagram to visually analyse them...

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may var...

A: In this question, we need to find the sample size for the proportion of females when no preliminary ...

Q: A density curve consists of the line segment connecting the points (0,1) and (0.5,1) and the segment...

A: Hello there!There are more than 3 subparts mentioned in the question. I can answer only 3 subparts i...

Q: the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simpl...

A: Given two normal six sided dice are rolledtotal number of possibilities when two dice are rolled = 6...

Q: How many different five-letter passwords can be formed from the letters A, B, C, D, E, F, G and H i...

A: Permutation rule:From a group of n items, k items can be arranged in ordered ways in,

Q: In 2015, there were approximately 3998000 million births in the US. Find the birth rate in units of ...

A: Given information:Number of births=3,998,000 and population size=321,000,000=321,000 thousandNow, fi...

Q: Give an example of a data set whose mean is greater than its median.

A: Let a data set is 25, 8, 9, 4 and 52.Mean:

Q: When two dice are tossed, find the odds in favor of getting a sum of 7.

A: Odds in favor:Odds in favor of a particular event are the ratio of number of favorable outcomes of t...

Q: About 30% of all recorded tsunamis have been nine meters or higher.† You are writing a report about ...

A: Note: In this question there are 5 parts and we are authorized to answer up to 3 subparts only, So w...

Q: Find the z value such that 92% of the standard normal curve lies between −z and z. (Round your answe...

A: Given the area between -Z and Z is 92%.The area under standard normal curve is 1. So the area betwee...

Q: A company is in the business of finding addresses of long-lost friends. The company claims to have a...

A: The distribution:The company claims to have 80% success rate. There are names of six friends for who...

Q: 2.1 Sales personnel want to further develop the model to include other variables. Merchandise Sa...

A: Introduction to linear regression analysis:Regression analysis is a collection of statistical proced...

Q: x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal...

A: According to the given question, x be a random variable representing dividend yield of bank stocks. ...

Q: How to Solve Truth Table ?

A: Logical operation:A logical operation is a special symbol or word that links two or more phrases of ...

Q: we are going over the guess and check method. and im having trouble setting up this problem."Rachel ...

A: Racheal is paid 15$ per hour for caretaker job.Racheal is paid 8$ per hour for dog walker job.Let us...

Q: Probability is the same as a) Proportion b) Unlikely c) Variance

A: Probability:The probability of an event is the chance of occurrence of that event. The probability o...

Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...

A: Explanation:Assume that there is a trial that can lead to 2 possible outcomes: one termed the “succe...

Q: If a manufacturer is trying to put together a sample collection of her safetyproduct and order is no...

A: Find the number of ways in which 15 items can be placed in packages containing 5 items without givin...

Q: Given the following sampling distribution:X -18 -11 -4 4 19P(X) 7⁄100 1⁄50 9⁄100 1⁄20 ___(i) Find P(...

A: In this question we have given some probabilities at some values of x and by using that information...

Q: A patient with a high-deductible consumer-driven health plan has met half of the $1,000 annual deduc...

A: The out-of-network physician’s bill is $4,500.Bill substract the deductible still owed that is 4,500...

Q: Let a and b be two integers. Prove that if a+b is even then a-b is even.

A: Given that a and b are any two integers. We are trying to prove "if a+b is even then a-b is even."

Q: Let X and Y be two random variables with joint probability mass function: p(x,y) = 1/48 xy(1+y) ??? ...

A: The provided joint probability mass function is:

Q: The letters A,H,I,M,O,T,U,V,W,X and Y are all mirror images of themselfs. A string made of these le...

A: Given information:The letters A,H,I,M,O,T,U,V,W,X and Y are all mirror images of themselfs. A strin...

Q: Three students from a 14 student class will be selected to attend a meeting . 5 of the students are ...

A: Let us say, the probability that not all three of the students chosen to attend the meeting are fem...

Q: Color blindness is a gender linked inherited condition that is much more common among men than women...

A: Given that 50% of population is male and 50% of population is female5% of all men are colour blind a...

Q: The probability that a person in the United States has Type B+ blood is 8%. Four unrelated people in...

A: Solution: We are given that the probability that a person in the United States has Type B+ blood = 0...

Q: Is the following argument valid or invalid? If it’s valid, rewrite the same argument symbolically(p,...

A: Define the arguments:p: You are Patrick Star.q: This is your ID.r: This ID was in this wallet.s: Thi...