A normal distribution has a mean of u = 50 with o = 6. If one score is randomly selected from this distribution, which is the probability that the score will be greater than X = 46? p= 0.7486 Op= 0.2514 Op= 0.2486 Op= 0.7641

Q: A normal distribution has a mean u = 54 and a standard deviation of sigma = 6. a) what is the…

A: a) The probability of randomly selecting a score less than x = 51 is, Thus, the probability of…

Q: For a normal distribution with a mean of 2 and a standard deviation of 0.5, what is p(1.7 < X <…

A: From the provided information, Mean (µ) = 2 Standard deviation (σ) = 0.5 X ~N (2, 0.5)

Q: For a Normal Distribution with mu equal to five and sigma equal to two, where does approximately…

A: Normal distribution is given.μ=5σ=2

Q: If the Z-score is 1.96, and X has a normal distribution with mean 60 and standard deviation 6, what…

A: Given that, Mean = 60 Standard deviation = 6 Z score = 1.96

Q: Below is a graph of a normal distribution with mean u -1 and standard deviation o=2. The shaded…

A: Shade the corresponding region under the standard normal curve given

Q: A study indicates that the weights of adults are normally distributed with mean of 72 kg and a…

A: Given data,μ=72σ=8P(65&lt;X&lt;77)=?

Q: A random sample of size 23 is selected from Normal distribution with mean 16 and unknown variance.…

A:

Q: Below is a graph of a normal distribution with mean u = -1 and standard deviation o = 2. The shaded…

A:

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

A:

Q: A normal distribution has a mean of mu =54 and a standard deviation of sigma=6.  A) What is the…

A:

Q: Select the most appropriate graph. If X is a normal random variable with a mean of 20 and standard…

A: Mean=20 Standard deviation=2

Q: Below is a graph of a normal distribution with mean u=-4 and standard deviation o= 2. The shaded…

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

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

A: Given : A normal dist. with Mean (μ) = 30 Standard deviation (σ) = 10 Let X be a normal variable…

Q: A normal distribution has μ = 80 and σ = 10.  What is the probability of randomly selecting a score…

A:

Q: A random sample of size 23 is selected from Normal distribution with mean 16 and unknown variance.…

A: A percentile is a comparison score between a specified score and the scores of the remaining of data…

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

A: Given: A random variable X Mean equal to 1000 and Standard equal to 100

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: Suppose a random variable x is best described by a normal distribution with = 60 and o=4. Find the…

A: The mean is 60 and the standard deviation is 4.

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A: Mean = 60 Standard deviation = 8

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

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A: From z tables, we get the p value

Q: Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: According to the given information, we have Mean = 30 Variance = 81

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: A normal distribution has a mean of m = 24 with s = 3. What is the minimum score needed to be in the…

A: Let "X" be the minimum score. Since the total area under the normal curve is 1. therefore, the…

Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

Q: normal distribution has a mean of u = 58 and a standard deviation of o = 12.

A: Given that  Normal distribution with Mean (μ) = 58 standard deviation (σ) = 12 We know that…

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Q: A normal distribution has a mean of u = 24 with o - 3. What is the minimum score needed to be in the…

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Q: normal distribution has a mean of µ = 90 with σ = 8. If one score is randomly selected from this…

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Q: In a certain normal distribution, find the standard deviation o when u = 50 and 10.56% of the area…

A:

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 a normal distribution with mean u =60 and standard deviation sigma = 10 find the proportion of…

A: The provided information are:

Q: The mean of a certain normal distribution is equal to the standard deviation of the sample mean of a…

A: Given: Let μ be population mean σ be the population standard deviation Given: Mean = standard…

Q: Let X be a random variable of a normal distribution with mean 38 and standard deviation S. if x =15,…

A: Given data,Mean μ=38sd σ=5If X=15Z=?

Q: Below is a graph of a normal distribution with mean u = -2 and standard deviation o = 3. The shaded…

A:

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

A: Given: Mean=13.2g Standard Deviation=0.8g

Q: The time to complete a task is a random variable X that follows a normal distribution with mean u…

A:

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

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Q: In a certain normal distribution, the mean is 50. If an observation of 30 is randomly selected, the…

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Q: For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is…

A: Either use Z - table or Excel function =NORMSDIST(Z)

Q: If we know that a normal distribution has a mean of u- 100 with 20, and if one score is 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: Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at…

A:

Q: The random variables X is the best described by a normal distribution with = 30 and a = 6. Find the…

A: Given : X~N(μ=30,σ2=(6)2) We Want to find Z-score corresponds to, 1. X = 21  2. X = 26.5

Q: A normal distribution has a mean of u 100 with a= 20. If one score I5 randomly selected from this…

A: Given that, Mean = 100 Standard deviation = 20

Q: A normal distribution has a mean of μ = 36 with σ = 4. What is the probability of randomly getting a…

A: Given information- Population mean µ = 36 Standard deviation σ = 4 We have to find the probability…

Q: For a Normal Distribution with mu equal to two and sigma equal to one, where does approximately 68%…

A: Given that, Normal distribution is given.

Q: For a normal distribution with μ = 30 and σ = 5, find the z-score corresponding to x = 42

A: According to the provided information, μ = 30 and σ = 5 x=42