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## Related Statistics Q&A

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Q: If X∼U(7,20) follows a uniform distribution, what is the mean of X?

A: The mean of X is obtained below: From the given information, X∼U(7,20) follows a uniform…

Q: 2. Suppose X has the normal distribution with parameters u and o2, fin the E(e2X).

A: x follow s normal distribution with mean x and variance sigma sqaure. By using moment generating…

Q: (47) Let X b(8, -) find E(5+6x) and distribution function.

A: Click to see the answer

Q: Suppose an unbiased estimator a of a parameter e possesses a mound shaped distribution with E( ) =…

A: Click to see the answer

Q: If np>5 and nq>5, estimate P(fewer than 8) with n = 14 and p = 0.6 by using the normal…

A: From the given information, Sample size (n) = 14 p=0.6 It has been given that, np < 5 or nq <5…

Q: (22) Let X = b(6, find E(5+6x) and distribution function.

A: Click to see the answer

Q: 0, If X has a normal distribution with mean u=18 and o = 3 find a) P(16 sXS 20)

A: Click to see the answer

Q: If ‘λ’ is the mean of Poisson Distribution, the P(0) is given by ___________ a) e − λ b) e λ c) e d)…

A: Solution: Let X be the Poisson random variable. From the given information, X follows Poisson…

Q: 2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between…

A: Click to see the answer

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Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

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Q: n recent years, a number of companies have been formed that offer competition to AT&T in…

A: Z_test: If the sample size is more than 30 and (population standard deviation) is given then that is…

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Q: Suppose a sample of size n is drawn from a population where the population standard deviation is…

A: Given ,The population standard deviation is known

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Q: Determine whether the following is a valid distribution function: (1- e-x/2 . x 2 0 F (X) =

A: Click to see the answer

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Q: What are the circumstances that motivated W.S Gosset to formulate t-distribution?

A: t-distribution : t=x-usn~tn-1 t-distribution is used when sample size is small and parent…

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Q: 1.3 The monthly salaries of the employees at Lyman Limited follow a normal distribution with an…

A: Assume, X be the random variable representing the monthly salaries of the employees. It is mentioned…

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Q: (13) Let X b(6,) find E(5+6x) and distribution function.

A: Given, X~Binomial6,23

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Q: (13) Let X b(6,) find E(5+6x) and distribution function.

A: (13) The random variable X follows binomial distribution with sample size 6, and probability of…

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Q: The value of the distribution function at x=3.9 is

A: The distrubution function is defined as F(x) = P(X≤x) = ∫-∞xfxdx

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Q: The distribution of the weights of a sample of 1,400 cargo containers is symmetric and bell-shaped.…

A: Click to see the answer

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Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P (X ≤ 70) based on the…

A: Given: h=80 X~P (h=80) The formula for poisson distribution is as follows: P (X=k)=e-hhkk! Now, P…

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Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability P(X< 70) based on the…

A: Here when we use normal approximation we add 0.5 as continuity correction factor in X

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Q: Consider a Uniform distribution defined as 2 < x < 8, fx(x) = }6 .03B е. w. Find E (-).

A: Given,

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Q: A distribution is given as X ~ Exp(0.75). What is m?

A: Exponential distribution: A continuous r.v. X taking non-negative values is said to follow an…

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Q: Which of the following is NOT true of the t-distribution?

A: Here use characteristics o) It is actually a t distribution is family of distributionsf t…

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Q: Given that it is normally distributed with a standard deviation of 8.025 cm. The engineer rejected…

A: we have to find mean value for given data...

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Q: Under which circumstance will the distribution of sample means be (approximately) normal? A. It…

A: This is based on Central limit theorem.

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Q: A manufacturer makes thousands of ballpoint pens per day, and estimates that 3% are defective and…

A: We have to test the normality condition for proportion.

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Q: Let X b(6,) find E(5+6x) and distribution function.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Let X b(6, find E(5+6x) and distribution function.

A: Solution: 13. From the given information, X follows binomial distribution with parameters n=6 and…

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Q: Determine whether the following is a valid distribution function F(X) = 1- e/2 for x>0

A: Click to see the answer

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Q: This question exercises the use of the t and 2 distribution tables. Suppose that T has a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

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Q: Let X b(16, find E(4-3x) and distribution function.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Suppose x has a distribution (not nessarily normal) with mean 50 and standard deviation 8. According…

A: Solution: 1. From the given information, X has mean µ=50 and a standard deviation σ=8.

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Q: 2. Suppose the random variable x follows a normal distribution of the form: where a is the last…

A: Derivative of function gives the value of rate by which the function value is changing. Similarly,…

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Q: Suppose x has a uniform distribution with…

A: Given Information: A random variable X has a Uniform distribution. a=100 and b=200 (a) To find μ and…

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Q: Prove that the mean and variance of a uniform distribution are respectively given by E(X) = (a +…

A: Uniform Distribution: Probability density function of uniform distribution is as follows:

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Q: Prove that the mean and variance of a uniform distribution are respectively given by E(X) = (a +…

A: Click to see the answer

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Q: Find the mean deviation about the A.M. of each of the following distributions : 2,4,6,8,10,12,14,16

A: Mean of the given data=Sum of all termsTotal Number of terms x=2+4+6+8+10+12+14+168=728=9

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Q: Suppose X follows an exponential distribution. It is known that P(X > 4) = e−2.5. What is the…

A: Exponential distribution: A continuous random variable X is said to follow exponential distribution…

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Q: For which of the following conditions is it not appropriate to assume that the sampling distribution…

A: For which of the given conditions is it not appropriate to assume that the sampling distribution of…

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Q: Calculate the value of M.D. about the median of each of the following distributions :

A: Arrange the data in ascending order as follows: 12,30,48,62,75,94,98,112 The median of the data…

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Q: The monthly salaries of the employees at Lyman Limited follow a normal distribution with an average…

A: Given that ; Mean= 14000 Sigma = 500 Z score = ( x - mean) / sigma

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Q: A normal distribution has a mean of m = 24 with s = 3. What is the minimum score needed to be in the…

A: Let "X" be the minimum score. Since the total area under the normal curve is 1. therefore, the…

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Q: 3. Suppose that X has a Poisson distribution with h= 80. Find the probability PCX< 70) based on the…

A: Here use normal approximation with continuity correction factor

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Q: A normal distribution has a mean of u = 100 with o = 20. If one score is randomly selected from this…

A: Given information: A normal distribution is considered having: Population mean, μ=100 Population…

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Q: There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20…

A: According to Central Limit Theorem as we look through a very big data the mean of the data will get…

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Q: For a population with a mean of u = 40 and a stån- dard deviation of o = 8, find the z-score…

A: It is given that the mean is 40 and the standard deviation is 8.

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Q: Let X denote the mean of a random sample of size 25 from the distribution whose pdf is f(x) = x²…

A: We have given that the X-bar denote the mean of a random sample of size 25 from the distribution…

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Q: Let X be the mean of a random sample of size 50 drawn from a population with mean 114 and standard…

A: Click to see the answer

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Q: Q3 find mean and variance of the distribution that has the following distribution function F(x) = 0…

A: For the distribution function given in the question, the probability density function is calculated…