Exercise 5 (-) Suppose that the random variable X has a negative binomial distribution with a p = 0.4 and r = 5. Calculate the following: a. Find P(X = 9) b. Evaluate the mean, the variance and standard deviation

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A: It is an important part of statistics. It is widely used.

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Q: Consider a binomial random variable X with n = 5 and p = 0. 40, where X represents the number of…

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Q: EXERCISE Show that for a random sample from a normal population, the sample variance S² is a…

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Q: assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per…

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A: Given data,Mean μ=188.1sd    σ=0.8If n=5P(187.3 cm < M < 188.9 cm) = ?

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Q: Let X be a binomial random variable that is binomially distributed with a mean of 9 and a variance…

A: binomially distributed with a mean of 9 and a variance of 6. Find q =?

Q: (a) A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation…

A: Given : μ=1986 σ=94

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A: The expected value of random variable X that is denoted by mu is called ?

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Q: Obtain the standard deviation of the random variable.

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Q: 20 Compute the mean and the standard deviation of a random variable that follows the binomial…

A: It is given that sample size n =10 and the probability of success (p) is 0.21.

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: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

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Q: Compute the mean and variance of a random variable whose distribution is uniform on the interval [a,…

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Q: 3. Derive the variance of the F distribution.

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Q: Use the result of Exercise 45 to show that, if n independent random variables Xi have normal…

A: The mean is calculated as follows:

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A: Here, n=46 and p=0.89.

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Q: Random samples of a Gaussian distribution will fall within two standard deviations of the mean with…

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Q: : The number of failures of a testing instrument from contamination particles on the product is a…

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Q: 1. Compute the mean and the standard deviation of a random variable that follows the binomial…

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Q: Find the characteristic function of a random variable having the binomial distribution with…

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Q: Calculate the expected value, the variance, and standard deviation where X is the number of tails…

A: X=the number of tails n=sample size=3p=probability of success=12=0.5So, X follows a binomial…

Q: 2. For a normal random variable with mean 6.50 and standard deviation 40, find the probability that…

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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: For a normally distributed random variable the standard deviation is 3.7 what is the mean if 10% of…

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Q: Consider a normally distributed random variable X with a mean of 85 and standard deviation of 10.…

A: first question is incomplete please re-submit the question with complete information.

Q: Let X distributed as a Normal random variable with a mean of 15 and a standard deviation of  3. A)…

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Q: Exercise 6.1 The sick-leave time of employees in a firm in a month is normally with a mean of 100…

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Q: For a normal random variable with mean 19,500 and standard deviation 400, find a point of the…

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Q: 2. During my office hours (from 12pm to 6pm), an average of about 1 student per hour comes in for…

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Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

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Q: According to an​ almanac, 6060​% of adult smokers started smoking before turning 18 years old. ​(a)…

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