Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n=16​, What is the probability that X is above 101​?

Q: ven a random variable having the normal distribution, with mean 16 and variance 1.5625, find the…

A: Given:  normal distribution, with mean 16 and variance 1.5625 to find i) the probability that it…

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: need a normal probability graph n=10, p=0.5.

A: Ramdom variable x from binomial distribution with n=10 and probability p=0.5 To draw the graph by…

Q: Suppose the random variable Xfollows a normal distribution with mean 8 and varlance 25. Thus the…

A: The normal distribution is a probability distribution which is symmetric about the mean. It is given…

Q: A population has a mean and standard deviation of 45 and 9, respectively. A random sample of size 81…

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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: You have a normal distribution of test scores with a mean of 100 and an SD of 15. Use the empirical…

A: given data normal distributionμ = 100σ = 15use empirical rule to answer . What range of scores…

Q: Suppose that the efficacy of a certain drug is 0.53. Consider the sampling distribution (sample size…

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Q: A pair of dice are rolled. Let X be a random variable that denotes the sum of the number of dots…

A: Here Given  Pair of dice are rolled  So Total Possible number of Outcome=6×6=36

Q: f z

A: As,  z is a standard number variable, so Mean (μ) = 0 Standard Deviation (σ) = 1 So, Z = z-01~N(0,1)

Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: Consider the continuous normal random variable, X = {a typical customer’s  expenditure at Baby-Toy…

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Q: B. Answer the following: Solve for the mean and variance of random variable. Let X be a random…

A: Given, X P(X=x) 0 1/4 1 2/5 2 1/8 3 9/40

Q: A normal distribution has a mean of 54, and a sttandard deviation of 6. What is the probability of…

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Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

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Q: If z is a standard normal variable, find the probability that z is between -2.07 and 3.28

A: Z is between -2.07 and 3.28

Q: a population proportion of 0.61. Suppose a random sample of 662 items is sampled randomly from this…

A: As per above information they solve first three subparts , so I will solve remaining parts d and e.…

Q: Given a normal distribution with µ = 50 and σ = 4, if you select a sample of n = 100, there is a 45%…

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

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Q: Suppose you have the population 50 and 80 and that their corresponding z-scores are -1 and -2,…

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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.