The first three moments of a distribution about the value 2 are 1, 16 and-40 show that the mean is 3, variance is 15 and m, = -86.

Q: The average thickness of books on a library shelf is 8.3 centimeters. The standered deviation is .6…

A: The mean is 8.3 centimeters and standard deviation is 0.6 centimeters. The books are undersized…

Q: From past results, a professor knows that the test scores are normally distribution with a mean 78…

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Q: z-score that has 73.6​% of the​ distribution's area to its right.

A: To find the z value, use the standard normal table to find the z-score which cuts off an area of…

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A: It is given that the mean and standard deviation are 4.4 and 8.24.

Q: The times that NSU students spend studying per week have a distribution that is skewed to the right…

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Q: If x is a normally distributed variable with µ = 100 and σ = 5, find the lower and upper x values…

A: Let X is normally distributed with mean µ and standard deviation σ.  Let α be a significance level…

Q: A normal distribution has a mean of µ = 40 with σ = 10.   What proportion of the scores in this…

A: Obtain the standard z-score for the random variable equals 45 The standard z-score for the random…

Q: first four moments of distribution about the value 5 of the 10 and 15. Describe the nature of…

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Q: if Y=3X+7 , find the standard deviation of Y.

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Q: Suppose it is believed that the probability a patient will recover from a disease following…

A: Here we need to find the mean and variance of the given binomial distribution.

Q: Assume the mean height of soldiers to be 68.22 inches with a variance of 0.8 inches. How many…

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Q: Suppose that 35% of all adults in a population would say "good" and 65% would say "bad" if they were…

A: Given Data: p=0.35 n=1000

Q: A normal distribution has a mean of μ = 70 and a standard deviation of  = 8. For the score, X = 72,…

A: Let X be the score. It is given, X follows normal distribution with mean µ=70 and a standard…

Q: The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is IS…

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Q: The mean of Binomial distribution is 3 and variance is-. Find P(1 s x < 6)

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Q: Use the z table to find the value k so that 40% of the scores are greater than k.

A: Normal distribution is widely used in statistics . It is very useful in modern times .

Q: Find the prob that the device does not faul before 17.6 days The gamma distribution with shape…

A: From the given information, the gamma distribution with shape parameter 5 and mean 11 of the time…

Q: the average length of a hospital stay for all diagnoses is 4.8 days. If we assume that the length of…

A: The number of days for 10% of hospital stays are longer is,

Q: The first four moments of a distribution about the arbitrary point 4 are 1, 4, 10 and 45…

A: From the given information, The first four moments of a distribution about the arbitrary point 4 are…

Q: The number of people getting sick from imported meat products in a certain city in one month was…

A: Given: μ=190σ=22 The number of sick persons below 20% is obtained as below:…

Q: The first three moments of a distribution about the value 2 of a variable are 1,16 and-40. Show that…

A: INTRODUCTION:  MOMENTS :  the moments are used for the following purposes 1.  calculate the central…

Q: The standard error of the mean is essentially the standard deviation but used when you are comparing…

A: Here use basic of standard error

Q: The scores in a high school are normally distributed with a variance of 225. Suppose that 27.43% of…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: A normal distribution has a mean of 100 and a standard deviation of 2. If 69,146% of the data are…

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Q: The first three moments of a distribution about the value 2 of.the variable are 1, 16 and – 40. Show…

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Q: Claire earned a score of 96 on Exam A that had a mean of 100 and a standard deviation of 10. She is…

A: Here Claire scores 96 for exam A. We need to find the mark equivalent to exam A for exam B. Given…

Q: In a Statistics examination, the average score was 80 and the variance was 9. Students with scores…

A: Given: Let X denote the scores in Statistics exam. The average scores scored by students are μ=80.…

Q: Show that the sum of the deviations of values from their mean is Zero: 1.3, 7.0, 3.6, 4.1, 5.0

A: Instruction : "Answer the only Question V: in image" Given : Data :  1 3 7 0 3 6 4…

Q: As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are…

A: Given information- Population mean, µ = 60 minutes Population standard deviation, σ = 7 minutes Let,…

Q: normally distributed

A: Let X be the random variable representing the weight of students. Given that X is normally…

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 20.…

A: Given information Mean µ = 190 Standard deviation σ = 20

Q: Layla earned a score of 140 on Exam A that had a mean of 200 and a standard deviation of 50. She is…

A: Given :  Score on exam A = X = 140  mean of X =  200  standard deviation of X =  50. Score on exam B…

Q: The distribution of z-scores corresponding with a population of scores always has a variance of…

A: To Find: The distribution of z-scores corresponding with a population of scores always has a…

Q: The proportion of a in the tail of a gold distribution can be never be more than .50 true or false

A: We have to find given statement is true or false

Q: Table below indicates the average number of injuries per thousand workers hours in a sample of 50…

A: Given information: The data represents the values of number of firms for the ranges of average…

Q: The mean of 200 items is 48 and their Standard Deviation is 3. Find : The sum of all the items, (ii)…

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Q: The heart rate of humans are normally distributed with a mean of 90.3 bpm and std. dev. of 7.3 bpm.…

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Q: Find the variance

A: Given : X~N(0, 7)

Q: If no data values are given but the mean and standard deviation is given how do I find the variance…

A: The formula for the variance and standard deviations are,

Q: The mean weight of 200 students is 50 kg and SD is 4 kg. If weight is normally distributed then find…

A: Solution: Let X be the weight of a student. From the given information, X follows normal…

Q: The mean of Binomial distribution is 3 and variance is. Find P(1 < x < 6)

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Q: is 32, the estimate of the variance of the model errors is

A: Given: multiple regression model with no of regressors k=3 and sample size n=20  also error sum of…

Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…

A: GivenMean(μ)=8.0 kilogramsVariance(σ2)=0.64 kilogramsstandard deviation(σ)=0.64=0.8 kilograms

Q: The time (in minutes) it takes Greg to complete a homework problem is uniformly distributed…

A: X=Time it takes to complete a homework problem X~Ua,bwhere, a=15 and b=28hence, X~U15,28

Q: The data in a data set are normally distributed with a mean of 150 and a standard deviation of 30.…

A: In this problem, we are going to using The empirical rule(68-95-99.7 Rule)

Q: Derive the mean and variance of normal distribution. Show your complete solutions.

A: Solution:- Mean of normal distribution The Gaussian pdf is defined as fX(x)=1σ2πexp-(x-μ)22σ2 where…

Q: • The mean weight of 500 male students in a certain college is 151 lb. and the standard deviation is…

A: