1. Let X be a random variable with u = 79 and o = 7. The distribution is normal and the sample size is 10. Find the probability that the score selected randomly is less than 85. a.

Q: 8. Calculate the mean u, second moment, and the variance o? of the random variable X, representing…

A:

Q: 1. Suppose that the amount of a drink in a can is a normal random variable with mean u = 300ml and…

A: We have given that  X~N(mu,sigma^2) mu=300, sigma =8 , sample size n=4 Z-score =(x - mu)/sigma

Q: Suppose X is a random variable with X - N(70,9²) and let H = the mean of X • me = the median of X •…

A:

Q: We would like to determine the sample size necessary to ensure a probability of a type I error of…

A: Given: Type I error (α) = 0.025 Type II error (β) = 0.05 μ0 = 65 Variance(σ2) = 100 Standard…

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

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Q: Consider the following discrete random distribution. x P(x) 0 .15 1 .20 2 .20 3 .25 4 .20 What is…

A:

Q: What is the probability that a randomly selected item will weigh between 6 and 10 kg? A. 0.9104 B.…

A: Answer:-  Here, option C is correct answer.

Q: Given a normal distribution with u=50 and 0= 4 what is the probability that x < 42

A:

Q: 1. Let X denote the mean of a random sample of size 100 from a distribution that is x?(50). Compute…

A: Given, Let X¯  denote the mean of a random sample of size n = 100 from  χ2 (50) That is X ~ χ2 (50)…

Q: Suppose x has a distribution with mean =23 and standard deviation =17.           Part b).   If a…

A: Given : μ = 23 , σ= 17 and n= 68

Q: Assume the population size is 500 unites with mean (Y = 12.5) and variance o = 18.4. The estimated…

A: From the given information, Consider, Population size (N) =500 Y=12.5σ2=18.4Margin…

Q: c. For a sample of n = 36 students, what is the probability that the average age is between 21 and…

A: c) n=36μ=21.5σ=3  We need to find P(21&lt;X&lt;22)…

Q: Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7.…

A: Given that, Mean = 50 Standard deviation = 9

Q: 27. The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen…

A: * SOLUTION :-  (27) The OPTION A (7.64) is correct answer.

Q: 8) Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Given X is normal Distributed with mean µ = 4.0 and standard deviation σ = 2.0 now will using…

Q: Suppose x has a distribution with μ = 15 and σ = 12.   (a) If a random sample of size n = 35 is…

A: The mean of the sampling distribution of the sample mean is given by The standard deviation of the…

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

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Q: If X is a random variable that has a normal distribution with mean u,=10 and variance ơ,=9, Find A…

A:

Q: The probability of an adult in Australia having hazel colored eyes is 20%. If a simple random sample…

A: Solution

Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

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Q: Suppose 10% of the tubes produced by a machine are defective. If a sample of 100 tubes is inspected…

A: (a)   Obtain the expected proportion of defectives in the sample.   The expected proportion of…

Q: For the random variable Z follows a standard distribution, find P(-1.2<Z <2.1)

A: Given data: For the random variable Z follows a standard distribution, To find ; P(-1.2&lt;Z&lt;2.1)

Q: Suppose x has a distribution with μ = 18 and σ = 10. (a) If a random sample of size n = 37 is drawn,…

A: In this question, it has been given that X follows a distribution with mean 18 and standard…

Q: Suppose x has a normal distribution with o = 1. A random sample of size 18 has a sample mean of x =…

A: X normally distributed  standard deviation =1 sample size (n) = 18 Mean (x¯) =50 We know that  For…

Q: Suppose a random variable X is best described by a normal distribution with u=60 and o2=100 Find the…

A: Given data: Suppose = X is best described by a normal distribution μ =60 σ2 =100 Find the z-score…

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

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

A:

Q: Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20. E(t)…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose the random variable X has a population mean of u=20 and a population standard deviation o=9.…

A: Given Data Population Mean,μ = 20 Population Standard Deviation,σ = 9 sample size…

Q: Find E[X], and Var[X], when "X" is a normal random variable with pa- rameter µ and o? respectively.

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: From the set of numbers {1, 2, 5, 6}, a random sample of size 2 will be selected with replacement.…

A: From the provided information, The mean of the data values 1, 2, 5, 6 can be obtained as:

Q: Find the probability that a single randomly selected value is greater than 243.4. P(X > 243.4) = %3D…

A: Let , X→N(μ=242.6 , σ=5.3) , n=10 By using central limit theorem , The sampling distribution of the…

Q: Suppose x has a distribution with μ = 20 and σ = 17. (b) If a random sample of size n = 75 is…

A: The mean of the sampling distribution of the sample mean. The standard deviation of the…

Q: If the sampled population has a mean of A = 04 and a population standard deviation of o =…

A: We have given that,   Population mean (μ) = 64, population standard deviation (σ) = 10 and sample…

Q: Suppose I am using the t-distribution to estimate or test the mean of a sample from a single…

A: Given that They are using t-distribution . Sample size (n) = 25   We know that  Degrees of freedom…

Q: Suppose x has a distribution with μ = 20 and σ = 17.   (a) If a random sample of size n = 32 is…

A: The mean of the sampling distribution of the sample mean: The standard deviation of the…

Q: Assume the random variable x is normally distributed with mean u=86 and standard deviation o =4.…

A: Given:  Random variable x follow normal distribution with mean=86 and standard deviations=4  then to…

Q: Suppose you are testing the hypothesis that p > 0.62. You take a random sample of size n = 55. The…

A: Given: n = 55 H0: p =0.62  H1: p &gt; 0.62

Q: Let , X2, .; Xn be a random Sample from a normal population wita mean land Variance o² fakken Sample…

A:

Q: Consider the following table which provides a probability distribution for the random variable x,…

A: Consider the calculations in the table given below:

Q: 2. Suppose a random variable X has the following distribution: 2 10 f(x) 0.2 0.2 0.5 0.1 a) Compute…

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Q: Suppose X is a random variable distributed with mean u and standard deviation ơ > O. If the random…

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Q: (a) What is the level of significance? State the null and alternate hypotheses. О Но: р %3D 0.24;B…

A:

Q: Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)

A: A uniform distribution is a probability distribution that has constant probability. So, it is also…

Q: Suppose that for a sample size of n = 9, we have 4; = 90 and E4 = 1700. Calculate the sample…

A:

Q: Assume the random variable x is normally distributed with mean u = 88 and standard deviation o = 4.…

A: It is given that  X follows N(mean = 88, SD = 4), then Z = (X - mean)/SD follows N(0,1)

Q: Assume that the random variable D follows the Normal distribution. For the sixth and seventh groups,…

A: Consider, the mean and standard deviation values for the given values: Consider, the expected…

Q: For a normally distributed population with a mean of u = 70 and a standard deviation of o = 10, what…

A: According to the given information, we have Mean = 70 Standard deviation = 10 Sample size, n = 64

Q: b) Suppose that 10% of the values of a normally distributed random variable X are below 50, and 5%…

A: Assume, X be the random variable. It is mentioned that X follows normal distribution with mean μ and…

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.