The breaking distances from a speed of 60 mph to a complete stop on dry pavement are normally distributed for cars, with a mean of 136 feet and a standard deviation of 4 . 66 feet. a. Find the probability that a randomly selected car w ill have a breaking distance of less than 130 feet. b. Find the probability that a randomly selected car will have a breaking distance of over 145 feet. c. Find the probability that a randomly selected car will have a breaking distance between 132 feet and 139 feet.

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: Given that.   X~N( μ , ?^2 )   μ=3.2     , ?=0.3   Z-score =( x - μ )/?

Q: 1. The heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm with a…

A: Solution

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A:

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Q: The average number of acres burned by forest and range fires in large New Mexico county is 4,300…

A: GivenMean(μ)=4300standard deviation(σ)=750

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A:

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: A random sample of 45 home theater systems has a mean price of $139.00. Assume the population…

A: Given that  Random sample size (n) =45 Mean price (x¯)= $139 Population standard deviation…

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: Obtain the Z-score for the random variable X equals 150 The Z-score for the random variable X equals…

Q: r at a local zoo is 15.8lbs, with a standard deviation  of 2.4lbs. A researcher records the weight…

A: The table that shows the necessary calculation is shown below:   XX X^2X2 1 14.5 210.25 2…

Q: According to a government study, among adults in the 25- to 34-year age group, the mean amount spent…

A: Given : The mean amount spent per year on reading and entertainment is $1,994. Assume that the…

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A:

Q: Rochester, New York averages μ = 21.9 inches of snow for the month of December. The distribution of…

A: Consider X be a random variable which, follows normal distribution, indicates the pay off by the…

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

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A:

Q: In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard…

A: Given,sample size(n)=250mean(μ)=96.5standard deviation(σ)=8.4

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.6 inches,…

A: Given : Let X be a r.v X : Length of items (in inches)  Mean (μ) = 9.6 S.D (σ) = 1.8

Q: The mean height of Grade III pupils is 138 cm with a standard deviation of 8 cm. If a sample of 30…

A:

Q: In a certain province, the set of recorded midday temperature readings for the month of April is…

A: Given that 10.03% of recorded temperature readings were under 32.32 °C, and that 33% were above…

Q: The heights of women have a symmetric distribution with a mean of 63 inches and a standard deviation…

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A:

Q: The mean length of a human pregnancy is 267 days, with a standard deviation of 12 days. Use the…

A: Given data,Mean μ=267sd σ=12P(243<X<291)=?

Q: Find the standard deviation for the grouped data.

A: Solution; Interval Frequency (f) midpoint(x) fx (x-x)2 f*(x-x)2 50-59 7 54.5 381.5 351.5625…

Q: In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6,…

A:

Q: The weights, in pounds, of a group of dogs are:          18, 31, 22, 46, 55, 28.    Calculate the…

A: Given Data The weight of a group of dogs are: 18,31,22,46,55,28   The size of group is N=6   The…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

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

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: Runzheimer International publishes data on overseas business travel costs. It reports that the…

A: The standard deviation will be obtained as given below:

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45…

A: According to the given information, we have Mean = 45 Standard deviation = 15 Sample size, n = 36

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: From the given information, x¯=9.6σ=1.8n=36

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A: We know that If X follows normal distribution with mean μ and standard deviation σ, then  Z=X-μσ…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 92inches and a standard…

A: Given data: The given mean is xm=92 inches. The given standard deviation is σ=0.6. (a) The given…

Q: The final score for a mathematics exam is normally distributed, with an average score (µ) of 57 and…

A: GivenMean(μ)=57standard deviation(σ)=9.25

Q: On a construction site, the amount of dirt scooped by a forklift machine is normally distributed…

A:

Q: The monthly In distributed, with mean of $100 standard deviation of $13. Find the probability that a…

A:

Q: "The weights of 1,000 children, in average, is 46kg with standard deviation of 11kg. Suppose the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: 12. The heights of male high school students are normally distributed with mean of 64 in and a…

A: From the provided information, Mean (µ) = 64 Standard deviation (σ) = 3.2 X~N (64, 3.2) Here X be a…

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: We want to tell you which one is the correct choice.

Q: The average number of hours worked per week for college students is 27, and the standard deviation…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: When comparing two​ populations, the larger the standard​ deviation, the more dispersion the…

A: Note: Thank you for the question. Since only the statement is given, we have considered it as a true…

Q: The Greenville Power Authority states that the mean monthly energy bill for their customers is $228…

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

Q: A technical assistance service with electronic equipment has that its service time is normally…

A: Given,mean(μ)=80standard deviation(σ)=25

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a…

A: Given μ=2788σ=454n=110

Q: The weights of adult male rhesus monkeys are normally distributed with a mean of 15 pounds and a…

A: Note :-As per our policy, we can answer only three sub-parts, make a new request for other sub-parts…

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A: Let X is the gas mileage for a hybrid car. X~Normalμ=57,σ2=3.52

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.