Suppose a population has a mean of 870 and a variance of 1,600. If a random sample is size 64 is drawn from the population, the probability that the sample mean is between 860 and 875 is 0.8785 0.9544 0.8185 0.6826 0.5899

Q: The random variable X, representing the number of errors per 100 lines of software code, has the…

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Q: Suppose that for a given computer salesperson, the table below gave the probability distribution of…

A: For ease of calculations, we construct the following table:   X P(X) X. P(X) (x-X_bar)…

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

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

Q: Given a normally distributed population with population mean 1000 and population standard deviation…

A: Given: μ=1000σ=120n=225 The P(1010≤M≤014) is calculated as below:…

Q: Suppose a husband Steve and a wife Maggie both face the following individual loss distribution:…

A: Given:

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A:

Q: Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 5.…

A: Given Data Population Mean,μ = 12 Population Standard Deviation,σ = 5

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

A:

Q: Assume that a random variable is normally distributed with a mean of 1500 and a variance of 324.…

A: We have given that a random variable is normally distributed with a mean of 1500 and a variance of…

Q: Let X be a random variable with a mean equal to 100 and a standard deviation equal to 15. Let…

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Q: If a soft drink machine is operating correctly, the amount of drink dispensed is a random variable…

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Q: Assume two populations, one of size 15 and variance 12 and the other one of size 10 and variance…

A: Given, n1=15, n2=10, σ12=12, σ22=7.6 The combined standard deviation is given by,…

Q: Suppose X is a normal random variable with mean=5 and variance=0.5. a) If sample size = 50. P(35) =…

A: (a) The value of P3<x¯<5 is 0.5, which is obtained below:…

Q: Since x is a Poisson-distributed random variable with a mean of 1.8, what is its standard deviation?…

A: For a Poisson-distributed random variable X, the mean of X is equal to the variance of X.

Q: Given a normal random variable X with mean 15 and variance 16, suppose you take a random sample of…

A: Given a normal random variable X with mean μ=15 and variance σ2=16 with unknown sample size n. And…

Q: If a sample size is equal to the population variance, then the standard error is equal to  σM = 1.…

A: The sample size is equal to population variance.

Q: Find the mean and the standard deviation of the normallydistributed random variable X if…

A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

Q: If the maximum error with 0.99 probability is 0.25 and a sample size 400, then the standard…

A: It is given that  Maximum error, E = 0.25 Sample size = 400

Q: Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2,…

A: According to the given information, we have Mean = 50 and Standard deviation = 2

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: The probability distribution of a discrete random variable x is shown in the following table: x 1 2…

A: E(X)=∑Xi P(X)E(X)=1×0.22+2×0.22+3×0.37+4×0.05+5×0.14E(X)=0.22+0.44+1.11+0.2+0.7E(X)=2.67

Q: Let X be a binomial random variable with a mean of 0.5 and a variance of 0.45. Find P(x=4).

A: Solution

Q: Suppose the random variable X follows a normal distribution with mean 8 and variance 25. Thus the…

A: Given, Mean μ = 8Variance σ2 = 25Standard deviation σ = Variance = 25 = 5

Q: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

A:

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: Suppose that we collect a random sample from a normal distribution with mean u and obtain the…

A: Given data, 4.1,3.2,3.9,3.8,4.5

Q: For a simple random sample, is: A. Standardized to have mean 0 and variance 1 always B. Normally…

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Q: For a sample of n=36 that has a variance of 1296, what is the estimated standard error for the…

A: Given: Sample size (n)= 36 Variance = 1296

Q: If 5 is mean of a poisson distribution, then the variance is

A: If 5 is mean of a poisson distribution, then the variance is

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

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Q: For a given random variable X, the relationship between the variance and the moments is given by Ox…

A: The mean is the measure of central tendency for continouus data the average is denoted as expected…

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A: Find the mean of the random variable k using the given probability distribution.Discrete random…

Q: For a sample of size 5, if x -x=-5, x, -X =9, x, -X =-7, and x, -x -2, then the sample standard…

A: Given: data n =5 to find : sample standard deviation     value (xi -x)2 x1- x -5 -52 = 25 x2…

Q: the standard Z value of a 16-unit sample taken randomly from a normal distribution populason with an…

A:

Q: Suppose that for a given computer salesperson, the table below gave the probability distribution of…

A: Given, The probability distribution is, X 1 2 3 4 5 6 7 8 Total p(X) 0.01 0.12 0.10 0.3 0.3…

Q: Find the variance and standard deviation of X

A: The variance can be calculated as V(X) = E(X2) - [E(X)]2

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

A: Normal Distribution :  A normal distribution is the proper term for a probability bell curve. In a…

Q: 3. For a normal population with a mean of 20 and a variance IU, None of the other 0.25 0.50 0.35

A: Answer: 3- Given a normal population with mean μ  = 20  and variance σ2  = 10                   Find…

Q: A study wants to investigate whether the population variance is greater than 8. If a random sample…

A: Given : n = 40 s2 = 10 Hypothesis : H0 : σ2 ≤ 8 H1 : σ2 > 8

Q: Suppose that we have a normal population with mean 7 and standard deviation 4. What is the…

A: Solution: From the given information, the population is normal with mean µ=7 and a standard…

Q: Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is…

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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: Consider an infinite population with a mean of 160 and a standard deviation of 25. A random sample…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: If X is a normal random variable with a mean of 5000 and a variance of 100, then the standard random…

A: Given data: X follows normal distribution   Mean=5000 Variance=100   X~ Normal (5000, 100)

Q: Suppose that for a given computer salesperson, the probability distribution of x the number of…

A: Given data:

Q: A simple random sample of size n is drawn from a population that is known to be normally…

A: We have given that  Sample variance, s2 = 12.8 Sample size, n = 40 90% confidence interval for n =…

Q: If ‘m’ is the mean of a Poisson Distribution, then variance is given by _________

A: Given  that  Mean = m X~poisson (m)

Q: One sample has a sample size of n = 8 and SS = 168. A second sample has a sample size of n = 6 and…

A: given: The pooled variance for these two samples is given by

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…