Suppose that x has a normal distribution with mean ? = 50 and standard deviation ? = 5. Find P(x > 60).

Q: Suppose that a distribution of 400 items has mean 130 and standard deviation 5. Find the​ z-score of…

A: Given that.   X~N( μ , ?)   μ=130     , ?=5  , x=143   Z-score =( x - μ )/?

Q: P(75<x<105) mean is 80 and standard deviation is 94

A: Mean = 80 Standard deviation = 94

Q: Suppose x has a distribution with mean =30 and standard deviation 28    P(30<x<32)=

A: Given,  mean μ=30 standard deviation, σ = 28 X ~ N(μ, σ)

Q: For the standard normal curve, what percentage of data is located between ¥-2 0 and ¥+20?

A: Note: Thank you for the question. Since notations are not clear to us, we have considered it as μ-2σ…

Q: Find the X value corresponding to z = +0.75 for a distribution with population mean of 90 and…

A: Solution: From given information, µ=90, σ=12 and z=0.75.

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

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Q: A normal distribution has a mean of u = 100 with 0 = 20. If one score is randomly selected from this…

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Q: Demand in each period is normally distributed with a mean of 100 and astandard deviation of 50. What…

A: Given: Mean (E[X]) = 100 Standard deviation (Sd [X])= 50

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

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Q: Suppose a player's true batting average is Normal, with mu = .281, and standard deviation, sigma =…

A: Let , random variable X be the player's true batting average. The random variable X is Normally…

Q: ez-score for x = 61 is . So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X

A: It is given thatMean, μ = 56Standard deviation, σ = 20Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: A normal distribution has a mean of 40 with a standard deviation of eight if one scores randomly…

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: If a distribution of values is known to be normal, what proportion of the cases will be found: Less…

A: From the provided information, The distribution is normal that is mean will be 0 and standard…

Q: A normal distribution has a mean of 130 and a standard deviation of 4. Fing the z-score for a data…

A: The mean is 130 and the standard deviation is 4.

Q: These curves represent normal distributions with different means and standard deviations. What do…

A: On the basis of the above Normal Curves given :

Q: A normal distribution has mean μ = 60 and standard deviation σ = 20. Find and interpret the z-score…

A: Step 1: State the given data: raw score, x = 75population mean, µ = 60population standard deviation,…

Q: Suppose driving speed (X) on CA 60 measured by the police follows a Normal distribution with mean 65…

A: The objective of the question is to find the probability that the driving speed (X) is greater than…

Q: A population of scores forms a normal distribution with a mean of 180 and a standard deviation of…

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Q: In a distribution with a mean of 20 and a standard deviation of 4, what raw score number (X) would

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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: X is normally distributed with mean 4 and standard deviation 1. Y is independent and normally…

A: Given, X is normally distributed with μ1=4σ1=1 y is normally distributed with μ2=3σ2=3

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: The variable xx denotes the time taken in seconds for a computer link to be made between the…

A: It is given that the mean is 15 and the standard deviation is 3.

Q: What is the z-score of x = 9, if it is 0.133 standard deviations to the left of the mean?

A: Given X=9,

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: Suppose that x is normally distributed with a mean of 20 and a standard deviation of 15. What is P(x…

A: given data, normal distribution, μ=20σ=15p(X≥55.40)=?

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

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Q: Find the probability that a normal variable takes on values more than 1/6 standard deviations away…

A: The objective of this question is to find the probability that a normal variable takes on values…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

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

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: For a normally distributed random varible y, mean is 25 and standard deviation is 9. Find the z…

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Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

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: A population of scores forms a normal distribution with a mean of ?= 80 and a standard deviation of…

A: A population of scores forms a normal distribution with a mean of ?= 80 and a standard deviation of…

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: A distribution is given as X~U (2,10). What is the 75th percentile? What is the 40th percentile?…

A: It is given that the X follows Uniform distribution with a as 2 and b as 10. X ~ U (2, 10).

Q: The scores on a distribution have a normal distribution with mean 65. Suppose the third quartile…

A: It is given that the mean and third quartile of the normal distribution is 65 and 75 repectively.…

Q: If X is a normally distributed random variable with a mean of 235 Find the standard deviation given…

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Q: Suppose X is a non-standard normal variable, with a mean of 139, and std deviation of 15 (i.e.…

A: The mean and the standard deviations are 139 and 15, respectively.