The standard deviation of a random variable X with a Normal distribution is 1.75. The probability that X is between ux and 11 is 0.2157. According to this, How Much Is ux?

Q: If a normal distribution has a mean of 28.0 and a standard deviation of 2.5, what is the value of…

A: Given information Mean µ = 28 Standard deviation σ = 2.5 Using standard normal table,

Q: Let, X has a normal distribution with a mean of 40 and a standard deviation of 8. The z value for x…

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Q: A random variable X is normally distributed with a mean of 175 and a standard deviation of 25. Given…

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Q: A given distribution has a population mean, μ, of 109 and a population standard deviation, σ, of 5.…

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Q: Given a normal distribution with mean of 67 and standard deviation of 5, the probability that X…

A: We have given that,  X be the random variable from normal distribution ,  Then, We have to check…

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 12.…

A: It is given that the mean is 137 and standard deviation is 12. The z-score is 0.90.

Q: Let X follow a normal distribution with mean 5.3 and unknown standard deviation. If P(X < 11.6) =…

A: From the given information, let X follows a normal distribution with mean of 5.3 and standard…

Q: A given distribution has a population mean, μ, of 112 and a population standard deviation, σ, of 13.…

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Q: The value of the standard deviation o of a normal distribution is always O a. Equal to zero b.…

A: Basics: We know that , standard normal distribution  with mean of 0 and standard deviation of 1. i.e…

Q: Given a standard normal distribution (with a mean of 0 and a standard deviation of 1) what is the…

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Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

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Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A: I am sorry, I can not provide a solution on paper. We are strictly instructed to provide a typed…

Q: A given distribution has a population mean, μ, of 122 and a population standard deviation, σ, of 7.…

A: From the provided information, Mean (µ) =122 Standard deviation (σ) = 7 X ~N (122, 7)

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 11.…

A: Given information Mean (µ) = 137 Standard Deviation(σ) = 11 z-score = 0.46

Q: In a normal distribution whose mean=2 and standard deviation 3, (a) find the value of the variate…

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Q: The length of time it takes to find a parking space at 8am follows a normal distribution with a mean…

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Q: Let X has a normal distribution with a mean of 120 and a standard deviation of 20. The z value…

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Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

A: According to the provided information, we haveMean = 1000Standard deviation = 100

Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…

A: We want to find probability of temperature reaches more than 40° c

Q: A given distribution has a population mean, μ, of 105 and a population standard deviation, σ, of 6.…

A: given, z = -1.84 m = 105 standard deviation = 6

Q: A normal distribution has a mean of u = 70 with o =3. What is the probability of sampling an…

A: We have find givan normal distribution...

Q: The sampling distribution of x in this case is approximately Normal with mean and standard deviation…

A: Normal/Gaussian probability distribution is a continuous probability distribution that ranges from…

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

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Q: A normal distribution has a mean of u = 80 with o = 20. What score separates the highest 40% of the…

A: It is known that the mean μ=80 and the standard deviation σ=20.

Q: Assume that X is a random variable with a normal distribution. if the mean is 17 with a standard…

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Q: A given distribution has a population mean, μ, of 121 and a population standard deviation, σ, of 7.…

A: Mean = 121 Standard deviation = 7 Z score = 1.32

Q: A given distribution has a population mean of 149 and a standard deviation of 12. Compute the raw,…

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Q: A sample of n = 5 scores has Σ X = 20 and Σ X2 = 180. For this sample, what is the value of the…

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Q: A normal distribution has a mean of u standard deviation of o = 12. For each of the follow- ing…

A: Given info: Here, mean, µ = 30 and σ = 12

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

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Q: The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard…

A: Z= x¯-μσn~N(0,1) n  = 36 , x¯ = 98.6 , μ = 98.6 , σ = 0.6

Q: A given distribution has a population mean, μ, of 102 and a population standard deviation, σ, of 14.…

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: Let X be the random variable of the normal distribution with mean (u) and standard .deviation (o) If…

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Q: A given distribution has a population mean, μ, of 103 and a population standard deviation, σ, of 6.…

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Q: A given distribution has a population mean, μ, of 150 and a population standard deviation, σ, of 8.…

A: we have given that  mu=150 ,sigma =8 and  Z-score=-0.72 X~N(mu=150 , sigma^=64)

Q: In a normal distribution for any normal random variable X, the probability that X is more than three…

A: GIven: x~Normal distribution(μ,σ)

Q: For the standard normal distribution, the mean is: O 1 and the standard deviation is zero O 0.5 and…

A: Solution: A continuous random variable X is said to have normal distribution if it's pdf is given by…

Q: For random samples of size n = 16 selected from a normal distribution with a mean of µ = 75 and a…

A: sample size: n = 16mean: µ = 75 standard deviation: σ = 20   To find c such that, P( x¯ &lt;c )…

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A: Given: μ=15500 and σ=1500 Also, it is given that-PX&gt;x=PZ&gt;z=0.01…

Q: Let, X has a normal distribution with a mean of 60 and a standard deviation of 4. The z-value for x…

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Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If…

A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.

Q: The weight of students studying at a national university follows a normal distribution with a mean…

A: Given,margin  of error (E)=0.03standard deviation (σ)=0.24α=1-0.99=0.01α2=0.005Z0.005=2.58

Q: Assume that X has a normal distribution, and find the indicated probability. The mean is µ = 60.0…

A: Givenmean(μ)=60.0standard deviation(σ)=4.0

Q: A given distribution has a population mean, μ, of 148 and a population standard deviation, σ, of 6.…

A: From the provided information, Mean (µ) = 148 Standard deviation (σ) = 6 X ~N (148, 6)

Q: The average weight of insects for a laboratory experiment is 13.2 g with a standard deviation of 0.8…

A: It is given that μ=13.2 and σ=0.8 The insect weighs at most 14 gram is given by:…

Q: Assume that X has a normal distribution. The mean is μ=15.2 and the standard deviation is σ=0.9.…

A: Given Information: Assume that X has normal distribution.

Q: A normal distribution has a mean of u = 45 with o =5. What is the probability of sampling an…

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Q: A given distribution has a population mean, μ, of 150 and a population standard deviation, σ, of 12.…

A: Given : population Mean, u = 150 population standard deviation, σ = 12  Z score , z = -0.58

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 7.…

A: Formula for Z-score : z =x-μσ

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.