Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2, what is the probability that X is between 47 and 547 Select the correct response: 91.04% 58.96% 41.04% 8.96%

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A: Given that, Let X and Y are independent random variables. Let Z=X - 2Y The expected value of Z is,…

Q: For a Normal Random Variable X with a mean of 80 and a Standard Deviation of 7, find P(73<X<94)

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Q: he expected value/mean, the variance, and the standard deviation of the following ete) probability…

A: Let X be the random variable having probability distribution is, X -1 0 2 P(X=x)  0.2 0.2 0.6…

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A: Given that, EcS=2n-1Γn2σΓn-12 Unbiased estimator for σ of the form cS. EcS=σ

Q: Given a mean of 100 and a standard deviation of​ 10, convert the random variables to​ Z-scores, then…

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Q: what is the probability that x<70?

A: Let , X→N(μ=100 , σ=10) Our aim is to find the P(X&lt;70)

Q: Given a normally distributed population with population mean 1000 and population standard deviation…

A: Given: μ=1000σ=120n=225 The P(1010≤M≤014) is calculated as below:…

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A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: Given that x is a normal variable with mean μ = 42 and standard deviation σ = 6.3, find the…

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Q: I. Find the variance and standard deviation of each probability distribution below. 1. 2 3 P(X) 0.1…

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

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A: The average of the sample is defined as the ratio of the sum of the numbers to the total number. By…

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A: According to bartleby policy I have solved first three subparts of this question. I hope it will…

Q: The number of cars sold per day at a local car dealership, along with its corresponding…

A: Given data is X 0 1 2 3 4 P(X) 1/10 2/10 3/10 2/10 2/10

Q: Given that x is a normal variable with mean μ = 110 and standard deviation σ = 13, find the…

A: Mean = 110 Standard deviation = 13

Q: Given a normal distribution with µ = 100 and o = 10 what is the probability that (A) X > 75? Answer:…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Given a normal random variable X with mean 15 and variance 16, suppose you take a random sample of…

A: Given a normal random variable X with mean μ=15 and variance σ2=16 with unknown sample size n. And…

Q: For a normal distribution with a mean of u = 30 and o = 10, what is the probability of selecting an…

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Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given that, The random variable X, representing the number of errors per 100 lines of software code,…

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A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

Q: In a pizza takeout restaurant, the following probability distribution was obtained for the number of…

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Q: Given that x is a normal variable with mean μ = 111 and standard deviation σ = 13, find the…

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Q: Provide an appropriate response. Round to the nearest hundredth. Find the standard deviation for…

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Q: The probability distribution of a discrete random variable x is shown in the following table: x 1 2…

A: E(X)=∑Xi P(X)E(X)=1×0.22+2×0.22+3×0.37+4×0.05+5×0.14E(X)=0.22+0.44+1.11+0.2+0.7E(X)=2.67

Q: If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find…

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

Q: Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.3, find the…

A: It is given that the mean and standard deviation are 43 and 6.3, respectively.

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

A: Given:  X 2 3 4 5 6 FX 0.01 0.25 0.4 0.3 0.04   Formula: Meanμ =∑X PX Variancex=∑i=1nX-μ2…

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A: We have find negative binomial...

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A: Given :

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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A: It is given that the random variable X follows normal distribution with mean µ as 10 and standard…

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A: The probability at different values of x is given in the table of problem. The mean or expected…

Q: For a normal random variable with mean 16.5 and standard deviation 0.8, find a point of the…

A: From the provided information, Mean (µ) = 16.5 Standard deviation (σ) = 0.8 Let X be a random…

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Q: If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then…

A: Given that, Mean = 10 Standard deviation = 4

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Q: For a binomial random variable with a mean of 20 and 100 trials, what is the standard deviation? *…

A: Given : For a Binomial r.v with Mean = 20 No. of trials (n) = 100

Q: If x is a binomial random variable, compute the mean, the standard deviation, and the variance for…

A: From the provided information, a) Sample size (n) = 3 Probability (p) = 0.6

Q: 1. Given that X is a normal random variable with the mean of 15 and standard deviation of 3, compute…

A: We have given that a random variable X that follows normal distribution with mean 15 and standard…

Q: If the weights of 8000 men follows a normal distribution with mean 67 kg. and the standard deviation…

A: As per our guidelines we are suppose to answer first question .

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Q: For a normally distributed variable X with mean 40 and standard deviation 10, what is the…

A: P(X ≥ x ) = P(X &gt;x) + P(X =x)                 = ∫x∞f(x)dx + 0

Q: Based on data from 1996-2006 from the Western Regional Climate Center, the average speed of winds in…

A:

Q: Given that x is a normal variable with mean μ = 109 and standard deviation σ = 13, find the…

A: From the information, mean μ = 109 and standard deviation σ = 13.

Q: Let X be a random variable that follows the normal distribution with mean 32 and variance 6. Answer…

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Q: Find the mean, variance and standard deviation for the probability distribution given below: X…

A: Given X -5 2 12 10 P(X) 0.553 0.136 0.213 0.098

Q: Find the standard deviation of the random variable X with the given probability distribution. * 1 2…

A: For the given data S.D =?

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Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: Solution

Q: Given that x is a normal variable with mean μ = 114 and standard deviation σ = 13, find the…

A: Standard normal distribution: The standard normal distribution is a special case of normal…