If x is normal with mean and variance, find

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 profit for a production process is equal to $2,000 minus two times the number of units produced.…

A: Consider X is the number of units produced Here, Y = 2000-2X It is known that E(X) = 500, Var (X) =…

Q: If the coefficient of variation of the data = 40 % , the variance = 100 , then the mean of these…

A: We have given that,  Variance (s^2) = 100 Standard deviation (s) = sqrt(variance)…

Q: The sum of the squared deviation scores is SS = 20 for a population of N = 5 scores. What is the…

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Q: The first three moments of a distribution about the value 2 are 1, 16 and-40 show that the mean is…

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Q: Run an appropriate test to compare variance between x1 and x2. What is the name of the test you…

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Q: find 1.mean 2.standerd deviation

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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: Find the mean and variance of S2(attached)

A: Expectation of S2:The expectation of S2 is obtained as follows:

Q: Why roles are reserved for the variance and particularly for its square root, the standard…

A: Variance and standard deviation: Variance measures absolute variability in a data set, calculated…

Q: Distinguish briefly the Parameters and statistics

A: A parameters is a values that describes some aspect of a population . A parameters may be very…

Q: Let the variance of Y is 4x^2. What is the standard deviation of Y?

A: Given that: The variance of Y is 4x2.

Q: If X ~B(190,0.34), find mean and variance of x. (Rounded in 3dp.)

A: X ~B(190,0.34) Given a Binomial Distribution X ~B(n,p) Here, n = 190 , p = 0.34

Q: The mean of a data set is 12.5 cm, and the variance is 4.0 cm. What is the z-score of 9.5?

A: Mean = 12.5 Variance = 4.0  Raw score = 9.5

Q: Suppose P(X E {1,2,3})=1 and E(X) =2.5. What is the smallest and largest possible values for the…

A: P(x=i) =pi where i = 1,2,3 Since P(X belongs to {1,2,3}),  p1+p2+p3 = 1…

Q: isn't it should use the normal table to find z value?

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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 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 population has a mean of μ = 50, a variance of σ2 = 9, and a standard deviation of σ = 3.  The…

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Q: If I have the variance of 36 and the standard deviation of 6, how do I calculate the range?

A: From the provided information, Variance (σ2) = 36 Standard deviation (σ) = 6

Q: Roll a pair of die 36 times, and draw a bar graph of all the outcomes. Using the data, find the…

A: In question,  Given that a pair of dice is rolled 36 times. Then we'll find mean Variance and…

Q: THE VALUE OF THE VARIANCE IS ALWAYS NOT POSITIVE. TRUE ERROR

A: The variance is square of standard deviation

Q: 0, Find the mean and variance of X.

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Q: The variance is sometimes a negative number.

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Q: Variance, and he data. e?

A: Given : The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a…

Q: Let's use the data from the previous question. Make sure to document, the mean, Variance and SD.

A: Solution-: We find mean, variance and standard deviation of given score of students.

Q: The average number of newspapers for sale in an airport newsstand is 12, and the variance is 25. The…

A: We have given that  Average and variance for newspapers.  Average = 12 Variance = 25 Standard…

Q: (1) The mean and variance of y, are, respectively,

A: by bartleby policy i can give only one question at time. so ,sorry for 2nd question

Q: A population has a mean of μ = 100, a variance of σ2 = 9, and a standard deviation of σ = 3.  The…

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Q: Find the mean and standard deviation of the waiting time for counter A and B.

A: The values for counter A are- 18, 21, 22, 23, 23, 24, 24, 25, 25, 25, 26, 30, 32, 34, 50 The values…

Q: Find the variance

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

Q: Suppose for 40 observations the variance is 50. If all the observations are increased by 20, the…

A: given If the values of all 40 observations are increased by 20 the mean increases by 20 as well,the…

Q: What is the Fratio for these data?

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Q: Find variance of Y1

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Q: Explain what would happen to the F ratio of this analysis of variance if 2 points were added to each…

A: We need to explain what would happen to the F ratio of this analysis of variance if 2 points were…

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: Find the variance of x or the number of cups of coffee.

A: Given Information:

Q: The value of the variance is always not positive. true Error

A: True  Followings are the Explanation of the Question  1) Variance is the Squared deviation from the…

Q: If the variance of a national accounting examination is 900, how large a sample is needed to…

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Q: Which of the following phrases correctly defines population variance? square of the average…

A: Here, denote xi as ith observation of the given variable.

Q: If -7 is added to every observation in a set of data, what will happen to the variance? A. It will…

A: Variance is a statistical measure which tells the variability in that data. The variance has the…

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: to obtain 3 Heads and 7 Tails. Calculate MEAN and VARIANCE.

A: Here given that coin Is tossed 10 times And head and tail are outcomes of coin tossing

Q: If the mean of grades in statistics = 65 and the variance : 400 , then the Z score of grade 50 =

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Q: and if the scores A set of 10 scores has SS= 90. If the scores are a sample, the sample variance is…

A: Population variance ,σ2, tells us how data points in a specific population are spread out. It is the…

Q: find the average profit per automobile and the variance

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Q: Find the variance of the given table in the attached photo

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Q: o the population variance

A: Generally, we obtain the variance based on the sample data but if in the problem there is mention…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!