1.) A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean μ = 298 ml and standard deviation σ = 3 ml. (a) What is the probability that an individual bottle contains less than 295 ml? Please draw a picture to illustrate the probability

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A: 1 year = 12 months Given: μ = 484 years = 48 months σ = 1010 (a) The corresponding z-value…

Q: he reading speed of second grade students in a large city is approximately​ normal, with a mean of…

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Q: 1.The average length of adult rabbit is 30 cm with the standard deviation of 4 cm. If their length…

A: Given : Let X : Length of adult rabbit is normally distributed with Mean (μ) = 30  (in cm) Standard…

Q: A patient visits her doctor with concerns about her blood pressure. If the systolic blood pressure…

A: Let y be a random variable responding a single measurement on blood pressure of a patient.

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: From the given information,   Mean  = 35 Standard deviation = 7.5   The objective is to find the…

Q: The average expenses of the Dela Cruz Family is ₱12,600 every half of a month with a standard…

A: Given data,μ=12600σ=1570P(X<11000)=?

Q: 14. The golf scores for a school team were normally distributed with a mean of 68 and a standard…

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Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

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Q: The mean monthly maximum temperatures for January in Melbourne can be modelled by a Normal…

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Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

Q: uppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean…

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Q: suppose that vehicle speeds at an interstate location have a normal distrubution with the mean equal…

A: Solution-: Given: μ=112km/h,σ=12.9km/h We want to find, (a) The z score for a speed of 103 km/h ?…

Q: a. How many standard deviations away from the mean is a beetle with mandible length of .44 mm? b.…

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Q: An experiment needs a 1.41cm thick aluminum cylinder. Suppose that the thickness of a cylinder has a…

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Q: 1. Suppose family incomes in a town are normally distributed with a mean of P25000 and a standard…

A: Probability: A probability allows us to find the chance of an event's occurring in an experiment.…

Q: 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that…

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

Q: Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States…

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Q: 1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with…

A: NOTE- AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY      Here Given For  Civil…

Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…

A: Since you have posted multiple question, we only provide answers of first three subparts . Please…

Q: 3. The average cholesterol content of a certain canned goods is 215 milligrams, and the standard…

A: Given that  X~N(μ= 215 , σ= 15 ) μ= 215 , σ= 15 , n= 25

Q: The mean monthly maximum temperatures for January in Canberra can be modelled by a Normal…

A: We have to find given probability..

Q: height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a…

A: Here is given that mean is 71 inches and standard deviation is 4 inches. 6 ft is equal to 72 inches.

Q: b. The average commute to work is 25 minutes. If we assume that commuting times are normally…

A: We have to find given probability..

Q: 3. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

A: Given mean μ = 215standard deviation σ = 15we need to calculate two parts of probability

Q: 2. The line width for semiconductor manufacturing is assumed to be normally distributed with a mean…

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Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…

A: It is given that the gas mileage for a hybrid car is normally distributed mean 56 and standard…

Q: Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States.…

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Q: Given the amount of annual snowfall in Big Bear City is normally distributed with μ=62 inches, and a…

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Q: 1.) The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs…

A: 1) Given that the mean is $55 and the standard deviation is $8. The costs are normally distributed.…

Q: Suppose that family incomes ina town are normally distributed with a mean of $1,200 and a standard…

A: Mean = 1200 Standard deviation = 600

Q: 1. The scores on a national achievement exam are normally distributed with a mean of 500 and a…

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Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

A: The Z-score of a random variable X is defined as follows: Z=(X–µ)/σ Here, µ and σ are the mean and…

Q: What is the probability that the workers received a salary higher than or equal to ₱575 per day?

A: According to the study, the mean salary of the workers in Metro Manila is ₱550 per day with a…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

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Q: Assuming that student incomes from employment in industry during the day are normally distributed…

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Q: The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63…

A: Note: Please repost remaining subparts as i can answer only 3 subparts as per my policy Given data,…

Q: Statisticians determined that the mortgages of homeowners in a city is normally distributed with a…

A: Given distribution is normally distributed. Mean=250000 Standard deviation=50000 X~N(μ=250000,…

Q: Suppose the current measurements made on a conductor wire track follow a normal distribution with…

A: Given, Suppose the current measurements made on a conductor wire track follow a normal distribution…

Q: 6. Suppose that the average outstanding credit card balance for young professionals is 11,200 with a…

A: Given : The average outstanding credit card balance i.e. μ=11200 Standard deviation i.e. σ=2600…

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

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Q: ppose the average age of family members is 34 with a standard deviation of 4. If 100 members of the…

A: Given, μ=34σ=4 n=100

Q: Suppose the heights of 18 year old men are approximately normally distributed, with mean 71 inches…

A: The normal distribution is the most useful theoretical distribution for continuous variables. For…

Q: A patient visits her doctor with concerns about her blood pressure. If the systolic blood pressure…

A: Solution : Given that,   mean =  = 140 standard deviation =  = 20 Using standard normal table , P(Z…

Q: 1. The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500…

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Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

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Q: Suppose that IQ scores of Grade 11 students of Abuyog Academy is normally distributed with a mean of…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.