Let X be a continuous random variable that is normally distributed with mean, µu = 15 and standard deviation, o = 2.8, find P( 12.2 < x < 18.36) Enter your answer accurate to 4 decimal places.

Q: Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance.…

A: GivenX has a continuos uniform distribution over the interval (-1,1)The corresponding density…

Q: A random sample of 10 houses was taken from the population of 120. The average population per house…

A: Given: sample size n =10 houses population size = N =120. mu = 10 sigma = 4  sample mean = x bar

Q: Variable Label N Xx y X Mean Std Dev Minimum Maximum 'speed' 19 39.7368421 15.7650884 15.0000000…

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Q: The life of an electronic device is known to have the exponential distribution with parameter…

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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: A simple random sample of 100 postal employees is used to test if the average time postal employees…

A: Given,            Mean X =7            Standard deviation S=2            Sample size n=100…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105μ=105…

A: Solution: It is given that adults have IQ scores that are normally distributed with a mean of 105…

Q: Assume that x has a normal distribution with mean =4 and standard deviation q=2. Find (3<x<6)

A: Given   x has a normal distribution  mean μ=4  standard deviation σ=2 Find p(3&lt;x&lt;6)=?

Q: (a) What is the probability that, on a single test, x is less than 3500? (Round your answer to four…

A: According to our guidelines, we can answer only three sub-parts. So, please repost the rest parts.

Q: Calculate the coefficient of variation of a distribution with n-10, Σχ*h= 110 and Σ2.-2 35. Answers:…

A: The formula for coefficient of variation is given by: CV=σμ×100 Here μ=∑x·f=110 and ∑x2·f=1235 and…

Q: Find E(X^2) when random variable X has normal distribution with mean(µ) = 7 and standard deviation

A: Given information: mean(µ) = 7 and standard deviation(σ) = 4. That is, μ=EX=7σ=4⇒σ2=42=16

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. Assume that…

A: Given Information: IQ scores are normally distributed with a mean of 100 and a standard deviation of…

Q: Find the mgf of the random variable Y = e¬^X when X ~ Exp(X). What is the name of the distribution…

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Q: Let X follow normal distribution with mean 50 and standard deviation 4. Let Y follow uniform…

A: Let's see first theoretically, X~N(50,4)Y~N(20,35) Then the value of…

Q: A population of score has μ = 90. In this population, a score of X = 100 correponds to z = 5. what…

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Q: Y, = XB + ɛ, Show that the model variance in model Yi unbiased estimator of

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Q: Assume that ex has a normal distribution with a specify mean and standard deviation mean =18…

A: Obtain the standard z-score for the random variable X equals 30. The standard z-score for the…

Q: the distribution of certain test scores  is a nonstandard normal distribution with a mean of 80 and…

A: Given:Population mean (μ) = 80Population standard deviation (σ) = 3

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100…

A: The probability that a randomly selected adult has in IQ between 84 and 116 is obtained below:Let X…

Q: A normal distribution has mean u = 56 and standard deviation o = 20. Find and interpret the z-score…

A: Given : Let X follows normal distribution with Mean (μ) = 56Standard deviation (σ) = 20i.e X~N(μ =…

Q: The concentration by volume  of methane is at a point on center line of jet of natural gas mixing…

A: It is given that concentration by volume  of methane is at a point on center line of jet of natural…

Q: The average time taken to run 10km, X, follows a normal distribution with μμ = 60 minutes and σσ =…

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Q: X is the number of red marbles that Suzan has in her hand after she selects 5 marbles from a bag…

A: The objective of this question is to calculate the expected value, variance, and standard deviation…

Q: normal distribution has a mean of u = 50 and 0 = 12 if one score is randomly selected for…

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Q: Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8.…

A: The formula of z score when the data is normally distributed is given by                 Where, x =…

Q: A population of scores has Mean = 73 and SD = 8. If the distribution is standardized to create a new…

A: Solution-: For original: μ=73, σ=8 For new:  μ=100, σ=20 what are the new values for X = 65 from the…

Q: reshmen at Crescent High School took an algebra t buted normally with a mean of 75 and a standard

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Q: Total cholesterol levels for middle aged men (aged 55 64) follow approximately a normal distribution…

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Q: a) Find an estimator 6MLE of 0 using the method of maximum likelihood estimation, and show that this…

A: Given: Mean = θVariance = θ2 θ&gt;0

Q: A random variable that is normally distributed where mean = 60, standard deviation = 2 and x=55.…

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