Given a normal distribution with µ = 50 and o = 5, if you select a sample of n = 100, what is the probability that X is a. less than 47? b. between 47 and 49.5? c. above 51.1?

Q: For a normal population with ? = 70 and ? = 12, find the following. (a) What is the probability of…

A: It is given that the mean is 70 and the standard deviation is 12.

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: Find the following probability for the standard normal distribution. (Round to the hundredths) P(Z…

A: The objective is to find the given probability for the standard normal distribution,

Q: Given a standard normal distribution, if P (-0.93 <Z< k) =0.7235. then value of k is.

A: Given that Z follows N(0,1) and P(-0.93 &lt; Z &lt; k) = 0.7235. We will use standard normal table…

Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday moming is shown below.…

A: We have given that x P(x) 0 0.15 1 0.20 2 0.30 3 0.10 4 0.20 5 0.05

Q: Find the following probability by using the Standard Normal distribution table: 1) P(0.85 <Z s 2.23)

A: Note: Please repost 4th question as i can answer only 3 subparts as per my policy 1)

Q: 6. Consider a normal distribution whereu = 80 and o 8 and answer the following: %3D a. If x 72, what…

A:

Q: Read the z statistic from the normal distribution table and choose the correct answer. For a…

A: From the provided information, Level of significance (α) = 0.0048 The test is lower tail.

Q: Given SAT scores from a normal distribution, with u = 550, and o = 95, random sample of n = 20; Wha…

A:

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, There is…

A: Given data: Mean = 103 Standard deviation  = 15 Sample size = 9

Q: Given the following probability distribution:      X      P(X)      10    0.3      20    0.1…

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

Q: If random samples, cach with n- 25 scores, are selected from a normal population with u - 50 and o-…

A:

Q: Find  the following probability for a normal distribution Include the 0 before the decimal point…

A: Obtain the probability of z less than 2.14. The probability of z less than 2.14 is obtained below:

Q: Given a normal distribution with μ=50 and σ=4​, and given you select a sample of n=100​, What is…

A:

Q: 13. A normal distribution has a mean of µ = 30 and a standard deviation of o = 12. For each of the…

A: From the given information, we have mean of μ= 30  and standard deviation of σ= 12

Q: Read the z statistic from the normal distribution table and choose the correct answer. For a…

A: Given that,Two-tailed testα = 0.0818

Q: Find the following probability for the standard normal distribution. P(-0.5 < Z < 0.5) 0.68 O 0.95…

A: Given  P(-0.5 ≤ z ≤ 0.5) Use the following probability for the standard normal distribution table…

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 distribution with μ=101 and σ=25​, and given you select a sample of n=25​, What is…

A:

Q: Given a normal distribution with µ = 50 and o = 5, if you select a sample of n = 100, what is the…

A:

Q: 5. Given a normal distribution with u = 50 and o = 10, find the probability that X assumes a value…

A:

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.

Q: Given a normal distribution with μ=50 and σ=5​, and given you select a sample of n=100​, There is a…

A:

Q: In a normal distribution with a u = 50 and o = 10, which of the following scores would have the…

A: The mean is 50 and the standard deviation is 10.

Q: For a standard normal distribution, what is the probability that z is less than -2.777 O A. 0.9972…

A: From the provided information, The distribution is standard normal and the z value is less than…

Q: Given a standardized normal distribution​ (with a mean of 0 and a standard deviation of​ 1),…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Suppose the random variable ? is best described by a normal distribution with ?=25 and ?=6.5. Find…

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Q: here is a 61​% chance that x̄ is above what​ value?

A: Let , X→N(μ=101 , σ=25) , n=25 By using central limit theorem , The sampling distribution of the…

Q: It is known that the distrubution is a standard normal distribution. If Z is a random variable and…

A: We have P(Z&gt;c)=0.22⇒1-P(Z≤c)=0.22⇒P(Z≤c)=0.78⇒c=Φ-1(0.78)=0.7722 Then,…

Q: Given a normal distribution with u = 50 and o= 4 what is the probability that 5% of the value are…

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Q: Given a normal distribution with μ=50 and σ=4​, and given you select a sample of n=100​,   There…

A:

Q: Given a normal distribution with µ= 100 ando = 10, if you select a sample of n = 25, what is the…

A: Given a normal distribution with μ=100 and σ=10. X~N(μ=100, σ2=102)n=25

Q: Given a normal distribution with Z-N(4,1) a. Find P (Z>4.52)? b. Find P (Z<3.48)? c. Find…

A: a. Consider that the mean and standard deviation of a random variable Z are µ and σ, respectively.…

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

A: Let X be a continuous random variable follows standard normal​ distribution with a mean of 0 and a…

Q: Given a normal distribution with µ = 50 and o = 10, find the probability that X assumes a value…

A: Solution :  Given that , μ=50σ=10 To find        P(45&lt;X&lt;62)

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, What is…

A: Given that μ = 103 σ = 15 we need to calculate the P ( X &lt; 92 )

Q: Given a normal distribution with u = 100 and o = 10, what is the probability that a. X> 75? b. X…

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

Q: Find the following probability for the standard normal distribution. P(Z ≥ 0) O 0.5 0.68 O 0.025

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Q: What is the probability that an observation taken from a standard normal population will have Z…

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Q: Find the following probability for the standard normal distribution. (Round to the hundredths) P(Z…

A: We have to find given probability.

Q: Given SAT scores from a normal distribution, with u = 550, and o = 95, random sample of n=100; What…

A: We have given that Mean=μ=550, Standard deviation=σ=95 , n=100

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

A:

Q: Given a normal distribution with (Greek mu)=50 and (Greek sigma)=5, if you select a sample of n=100,…

A:

Q: For a t-distribution with 13 degrees of freedom, what is the probability that a t-score will be…

A: Given that: t-Distribution with t= 1.771 and degree of freedom(df)= 13 Now will use standard…

Q: Given a normal distribution with μ=103 and σ=15​, and given you select a sample of n=9​, What is…

A: GivenMean(μ)=103standard deviation(σ)=15sample size(n)=9

Q: Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n=16​, What is the…

A: Solution: From the given information, X follows normal distribution with mean µ=100 and a standard…

Q: Given a normal distribution with μ=45 and σ=5​,     What is the probability that X>37​?…

A:

Q: Given a normal distribution with u = 100 and o = 10, what is the probability that a. X > 75? b. X…

A: As per our guidelines we are suppose  to answer three sub parts. Given,mean(μ)=100standard deviation…

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: If X does not have a normal distribution, which of the following is true about the shape…

A: This is based on central limit theorem.

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.