29. The randomvariable Xis binomial with parameters n= 5 and p= 0.17, compute its mean and standard deviation

Q: Let x be a binomial random variable with  n = 20 and p = 0.2 Find  p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: A binomial random variable X reveals pµ=100 and o=20. Calculate P{X>101}.

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Q: Suppose a continuous random variable with a uniform distribution over the range (0, 1) is observed…

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Q: 12. Assume the average income of workers in Jordan equal 400 JD, a sample of 500 workers are taken…

A: We have to find out answer of given question....

Q: Show that for a random variable X with mean μ and variance σ^2, the standardized random variable Z…

A: Solution-: We want to show that  for a random variable X with mean and variance , the standardized…

Q: Cor Complete

A: It is given that the random X has a mean of 6.

Q: A random variable Y is binomially distributed with mean 15 and variance 14.7. Determine the values…

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Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

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Q: a ) Calculate the expected value, the variance and the standard deviation of 2X1 - 0.5X2 + X3 .…

A: Normal distribution is also known as the Gaussian distribution . It is a bell-shaped , symmetric…

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&lt;x¯&lt;5 is 0.5, which is obtained below:…

Q: If n independent random variables Xi have normal distributions with the means μi and the standard…

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Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

Q: What are the mean and standard deviation of x_av?

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Q: Suppose that X1,X2,X3 distribution with mean 20, 25, 40 and standard deviations 4, 9, 16…

A: Given; X1~(μ1=20, σ12=42)X2~(μ2=25, σ22=92)X3~(μ3=40,…

Q: If the sick leave time of employees in a firm in a month is normally distributed with a mean of 50…

A: Given, μ = 50σ2 = 100σ = 10The distribution is normal distribution     To find, The standardization…

Q: Assume that the random variable X is normally distributed, with mean μ=80 and σ=8.  Compute…

A: Given that, Mean = 80 Standard deviation = 8

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A: Given: Z = X+Y E[X] = μx = 24 σx = 6 E[Y] = μy = 14 σy = 4 Formula Used: E[X + Y] = E[X] + E[Y] V[X…

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: If second moment of a random variable is equal to 13 and the first moment is equal to 2. Then, the…

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Q: Suppose X is a noram random variable with mean 45 and standard deviation 18 Calculate P( X < 16)

A: answer: From the given data, mean (μ) = 45 Standard deviation(σ) = 18

Q: 1. When approximating the binomial and Poisson distribution with the normal distribution Why do we…

A: Binomial vs Poisson distribution The Poisson distribution provides the count of independent events…

Q: (a) Find the probability that the total loss of ice layer in 2 years will exceed 25 inches. (b) Find…

A: a) To find the probability that the total loss of ice layer in 2 years will 25 inches we need to…

Q: If X~B(6, 0.8); that is, if the random variable X has a binomial distribution with n = 6 and p =…

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Q: A continuous random variable X has normal distribution with mean 29 and standard deviation 10. What…

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Q: Let the random variable X follows binomial distribution with parameters 14 and 5/12.

A: given information: n=14 p=5/12=0.41666 we wants to calculate P( X≥2)  P(X≥2 )=∑i=214nCxi *pxi…

Q: You obtain 26.5% successes in a sample of size n1=324n1=324 from the first population. You obtain…

A: The objective is to compute test statistic and find p value.

Q: 11. Find the joint characteristic function of two random variables having abivariate normal…

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Q: Find the maximum likelihood estimator of 2 (mean) for the Poisson pdf based on a random sample of…

A: The PDF of Poisson Distribution   Want to find MLE for..The likelihood function is given as

Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

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Q: a two sided test of hypothesis assumes that a normally distributed random variable X with mean of…

A: Z = x¯-μσn~N(0,1)

Q: A researcher wanted to test the mean of the binomial distribution as H0 : λ = 2 vs H1 : λ = 1. He…

A: To solve this problem, we need to use the binomial distribution formula and the significance level…

Q: be -2.8. Determine the P-value for the test.

A: Here given, Sample size n = 79 Test statistic = -2.8

Q: Suppose a simple random sample of size n= 38 is obtained from a population withu= 65 and o = 18. a)…

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Q: 3) (4 points) Consider a population with the mean u= 51, 000 and the standard deviation o = 5,000.…

A: The random variable X follows normal distribution. We have to find the probability that the sample…

Q: Suppose a simple random sample of size n = 43 is obtained from a population with μ = 67 and a = 18.…

A: Mean()=67Standard deviation()=18Sample of size(n)=43

Q: If a random variable has a binomial distribution with parameters n = 200 and p = 0.4 use the normal…

A: Given:n = 200p = 0.4The mean and standard deviation of the binomial distribution are as follows:mean…

Q: Find the following probabilities for the standard normal random variable z:   (a) P(-0.87 \leq z…

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Q: If XX represents a random variable coming from a normal distribution with mean 5 and if…

A: given data  normal distribution  μ = 5 P(x&gt;6.7) = 0.28 P(5&lt;x&lt;6.7) = ?

Q: X is Gaussian random variable with mean 50 and standard deviation 5, what is the correct way to…

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Q: A computer of random numbers with a uniform distribution between 0 and 1 manufactures. A standard…

A: The expectation of the random variable X having the uniform distribution is, E(X) =(a+b) /2 =(0+1)/2…

Q: For a Normal random variable X, with E(X)= 3, Var(X) = 4 Must use Standard Normal Distribuiton Table…

A: Probability theory provides a set of powerful tools for analyzing and predicting the behavior of…

Q: Find the mean for the binomial random variable x. Find the standard deviation for the binomial…

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