Prove this is a valid probablity distribution. • Find the mean of a random variable which has a geometric distribution with parameter p, and prove the relationship. • Find the variance of a random variable which has a goometric distribution with parameter p, you do not need to prove it.

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Q: Two iid Gaussian random variables X, and X, have mean my and variance . Their sample mean and sample…

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Q: A population is known to have a right-skewed distributions with mean 10, median 6.931, and standard…

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Q: calculated that the taxi drivers spent average 9.25 hours  in a day  assume that the distribution…

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Q: Suppose the random variable x  is drawn from a  population with mean 50 and  standard deviation 3.is…

A: Solution : Given : μ = 50             σ = 3              n = 30

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A: Suppose I have  a below data For random variable X 2,5,8,4 consider k= 2 Average of 2,5,8,4 using…

Q: 1. Define rectangular distribution. Find its mean and variance. nned with CamScanner

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Q: Two six-sided dice are rolled and the random variable x is the sum of the values produced by each…

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Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: The filling machine at a bottling plant is operating correctly when the variance of the fill amount…

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Q: It is known that a certain lacrosse goalie will successfully make a save 85.65% of the time. Suppose…

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Q: According to a study conducted by a statistical organization, the proportion of people who are…

A: p^ = 0.74n = 100

Q: c) Mr Ledwaba from Department of Health assumed that a random variable X is normal with mean 2 and…

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Q: X is a normally distributed random variable with mean −25 and standard deviation 4. Find the…

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Q: A random variable X is best described by a continuous uniform distribution from 25 to 40 inclusive.…

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Q: Suppose XX is a normal random variable. The mean of XX  is considered a constant in the frequentist…

A: We have given that an statement. We need to tell about that it is true or false.

Q: The normal random variable with mean = 0 and standard deviation = 1 is said to have the Z.…

A: The mean is 0 and the standard deviation is 1.

Q: Let X be a normally distributed random variable with mean 410 and stan- dard deviation 2. Find the…

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Q: A farmer uses artificial insemination to impregnate his cows. This method has an 80% success rate. •…

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Q: Let the random variable X fit the binomial distribution with parameters (p,N). Find the variance by…

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Q: Two 6-sided dice are rolled and the two resulting values X and Y are multiplied together to form the…

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Q: Assume this is a simple random sample from a population. Use the Empirical Method to estimate the…

A: The number of persons have some confidence in education institutions is 17867.

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Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

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Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X > 6.4) =…

A: P(X>6.4) = 0.38   Mean = 5     P(5<X<6.4) = ?   when X = 0.5;  Z = 0 (which is the center…

Q: Suppose that the grades of Mathematics and Statistic module is modeled well by a normal probability…

A: Given, X follows normal distribution with mean 114 and standard deviation 19. X~N(μ=114, σ2=192)…

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A: Normal Distribution :  The normal distribution is the most widely known and used of all…

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Q: Suppose that an accounting firm does a study to determine the time needed to complete one person's…

A: Given: n = 100 The sample mean is 22.4 hours. There is a known population standard deviation of 6.4…

Q: Suppose n = 43 and p = 0.14 Can we approximate p by a normal distribution? Why Yes p can be…

A: It is given that n =42 and p =0.14.

Q: Suppose the random variable X has a geometric distribution with p=0.7. Find P(X>1) ?

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Q: According to the Current Results website, the state of California has a mean annual rainfall of 25…

A: California 25 3 30 New york 36 3 45

Q: Suppose an experiment of a dodecagon (12-sided die) is rolled at random. If we let X to be the…

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Q: A fair coin is flipped 80 times and the number of heads that occur is noted. A random variable x is…

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Q: Let x be a random variable that follows normal distribution with mean 5 and variance 16. Find P (2…

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Q: Assume that X is a random number that follows Normal distribution with an average of 5 and variance…

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Q: A random variable has a longnormal distribution with mean 10 and variance 4. Calculate the…

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Q: Suppose that the variable under consideration is normally distributed on each of two populations and…

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

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Q: The random variable X has a binomial distribution with n = 20 and p = 0.01. What is the mean and…

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Q: a) A random variable has a binomial distribution.  Find,  Variance

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Q: 3. Let Y1,.. , Y, be a random sample from a normal distribution with mean 30 and standard deviation…

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Q: A random variable X has a mean of 10 and variance of 9 and is of unknown distribution. Find p (5 < X…

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Q: Last​ year, a person wrote 128 checks. Let the random variable x represent the number of checks he…

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Q: Let X is a random variable with a pdf with mean u and standard deviation o (we do not know the…

A: Given that n is reasonably large.