Lesson: 7.2 Central Limit Theorem with Mean The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4764 miles, with a variance of 193,600. If he is correct, what is the probability that the mean of a sample of 34 cars would differ from the population mean by less than 149 miles? Round your answer to four decimal places.

Q: You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are…

A: GivenMean(μ)=122standard deviation(σ)=10sample size(n)=16

Q: Two fair dice are thrown. Given that the first shows 3, what is the probability that the

A: Given information: The outcomes for tossing two fair dice, Total outcomes is 36. The outcomes for…

Q: 6. Buses arrive at ten minute intervals starting at noon. A man arrives at the bus stop a random…

A: In question, Given that the random variable X having the distribution function P(X<=x). Then…

Q: A fair coin is tossed repeatedly. Show that, with probability one, a head turns up sooner or later.…

A:

Q: We toss n coins, and each one shows heads with probability p, independently of each of the others.…

A:

Q: The mean number of minutes for app engagement by a tablet user is 8.2 minutes. Suppose the standard…

A: GivenMean(μ)=8.2standard deviation(σ)=0sample size(n)=70

Q: Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of…

A: Given dataSickle cell anemia is an inherited disease in which red blood cells become distorted and…

Q: joint pr muy Tass Tun p(x, y) = Px (x) (a) Draw a 3 x 3 table showing the joint probability mass…

A:

Q: A student researcher wants to determine whether the mean score in Mathematics of the 25 students in…

A:

Q: Giving a test to a group of students, the grades and gender are summarized below A Male Female Total…

A: IF one student  was chosen at random,  we have to find out the probability that the student was male…

Q: b) The life expectancy of the radioactive isotopes is exponentially distributed with a mean 3 years.…

A:

Q: Suppose

A:

Q: Solve the problem that involves computing expected values in a game of chance. A numbers game run by…

A: Option c is correct here. The expected value for the game is of -$12.60

Q: The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation…

A: According to empirical rule 68%,95% and 99.7% data fall within one ,two and three standard…

Q: Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a…

A: GivenA random variable x~Uniform(1.5,4)f(x)=1b-a     ; a<x<bf(x)=14-1.5      ;…

Q: 2. Each person in a group of n people chooses another at random. Find the probability: (a) that…

A:

Q: Twenty-five percent of the academic staff of a large faculty are non-teaching academic staff. A…

A:

Q: The service time for a passport application in a certain government office is modelled as an…

A:

Q: A bag contains 5 red balls and 3 green balls. A ball is drawn and not replaced. A second ball is…

A:

Q: A box contains 17 transistors, 4 of which are defective. If 4 are selected at random, find the…

A: Solution-: Given: A box contains 17 transistors, 4 of which are defective. We select 4 at random,…

Q: Formulate a one (1) real-world problem each in probability that exhibits not mutually exclusive…

A: Mutually exclusive events: Events are said to be mutually exclusive if no two or more of them can…

Q: Exercise 2: Show that .0965 is the joint probability density for two independent random variables X₁…

A: dnorm() is a R function that is used to calculate the probability density of a normally distributed…

Q: Let Xn be a series of independent, variance o². Furthermore, let Mn sample sum. Which of the…

A:

Q: Suppose X is uniformly distributed over [0, 5] and Y is uniformly distributed over [0, 4]. Given…

A: Given that,  X~ U(0,5)  then pdf of X is given by,  f(x)= 1/(5-0)  = 1/5 ; 0<x<5  Y~ U(0,4)…

Q: The number of rainy days per year of a certain city is normally distributed with a mean of 92 days…

A: from given data we have : the number of rainy days per year of a certain city is normally…

Q: In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many…

A: given data, in a lottery daily game ,  a player picks four numbers from 0 to 9 (without…

Q: 77 months. If the claim is true, what is the probability that the mean monitor life would differ…

A: It is given that  Mean, μ = 82 Standard deviation, σ = 77 Sample size, n = 71

Q: What do you think of the following 'proof' by Lewis Carroll that an urn cannot contain two balls of…

A: given that, the urn contains two balls

Q: 3. Let X be a random variable with distribution function P(X ≤x} = 0 x 1 if x ≤ 0, if 0 1. Let F be…

A: Given that  We have to show that Y=F-1(X) is a random variable having distribution function F

Q: I am selling my house, and have decided to accept the first offer exceeding £K. Assuming that offers…

A:

Q: In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors…

A:

Q: 3. Let X be a random variable with distribution function P(X ≤x} = 0 x 1 if x ≤ 0, if 0 1. Let F be…

A:

Q: Given that the variances of random variables X and Y are 484 and 625, respectively. The correlation…

A: Given that  Var(X) = 484 , Var(Y) = 625 Corr(X,Y) = -0.52

Q: Use the spinner shown. It is equally probable that the pointer will land on any one of the six…

A: given data, 2-red 2- yellow 2-green 6- total outcomes

Q: b. Using the values of the mean and standard deviation for persons with tertiary education, obtained…

A: It is given that  For tertiary education, mean = 16.1, variance = 16.9714, and SD = 4.1196

Q: 15) A human gene carries a certain disease from the mother to the child with a probability rate of…

A: as per guideline expert have to answer first question only.  Q-15)  P(infected with disease) = p =…

Q: A bag has 3 red, 2 green, and 4 orange cards. If a card is randomly selected from the  bag, what is…

A: normal distribution,3-red2-green 4-orange9- total cards in beg if a card is selected from beg we…

Q: he odds in favor of Michael Jordan making a free throw were 21:4. Find the probability of Michale…

A:

Q: A coin has been weighted so that landing on "heads" is 4 times greater than landing on "tails".  You…

A: A coin has been weighted so that landing on "heads" is 4 times greater than landing on "tails". i.e.…

Q: Is the probability for my standardized range really the same as for my original distribution? How…

A: introduction the above question is about probability  We have to explain is the probability for…

Q: In the United States the ages 13 to 55+ of smartphone users approximately follow a normal…

A: Solution-: Given: μ=36.9,σ=13.9 We want to find IQR =?

Q: A vendor of electrical equipment received six low voltage transformers from the manufacturer. Three…

A: Method: By using the hypergeometric probability mass distribution

Q: For what values of the parameters are the following functions probability density functions? (a)…

A:

Q: 1. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A:

Q: Let T- Exp(1) for some >0. Show that P{T>t+s T> s} = P{T>t} the conse ance of this equation for the…

A:

Q: ssword with 5 characters is randomly selected from the 26 letters of the alphabet. What is the…

A: given data, 5 characters is randomly selected from the 26 letters of the alphabet.we have to find…

Q: What are the probabilities P1, P2, P3 for the router failing not earlier than tB = 500h for the…

A: Let X be the time until failure is approximately well estimated with an exponential distribution…

Q: The computer center at Rockbottom University has been experiencing computer downtime. Let us assume…

A: Given that, The computer center at Rockbottom University has been experiencing computer downtime.…

Q: Limeon has become the fastest growing energy drink in the U.S. The average retail price is…

A: Given Mean=100 Standard deviation=10

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval…

A: given data,  no. of success=x=97n=285p^=xn=97285=0.3404 CI:=0.99α=1-0.99=0.01