A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger variance?
Q: what is the binominal probability distribution
A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…
Q: Find the variance and standard deviation of the probability distribution of random variable X if :…
A: Variance=EX2-E2(X)=12110+22110+32110+42110+52110+62110+72110+82110+92110+102110-1110+2110+3110+4110+…
Q: Which of the following could not be probability distribution?
A: A valid probability distribution must have all the probabilities lie within 0 and 1 also sum of…
Q: what is a gaussian distribution?
A: Gaussian distribution (also known as normal distribution) is a bell-shaped curve, and it is assumed…
Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: a. median…
A: We know that if λ is the average number of successes occurring in a given time interval or region…
Q: The mean value of the Poisson probability distribution is numerically equal to its standard…
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Q: In a bell curve distribution, the median is less than the mean and is located to the left of the…
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Q: Calculate the mean (mu) and variance (sigma squared) of the probability distribution
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Q: Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2,…
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Q: Although studies continue to show smoking leads to significant health problems, 20% of adults in a…
A: From the provided information, 20% of adults in a country smoke. Sample size (n) = 150 adults…
Q: What is the Advantage and Disadvantage of Using the Binomial Probability Distribution
A: A binomial probability distribution is used when the number of trials are few and the probability of…
Q: Create a graph for this probability distribution
A: Solution : Given that Number of cars (x) 0 1 2 3 4 5 6 7 8 P(x) 0.07 0.15 0.27 0.21 0.08 0.12…
Q: assume that the distribution is normally distributed. What is the probability the part is properly…
A: here given mean = 3 standard deviation = 0.08 Y = diameter of Pipe here use standard normal…
Q: Give 1 real life situation where the concept of random variables is applicable and construct its…
A: A random variable is a variable whose values depend on outcomes of a random experiment. It is…
Q: If the outcomes of a discrete random variable follow a Poisson distribution, then their: O A. median…
A: Correct answer is (C) mean equals the variance
Q: In what cases would you use the binomial distribution? Give two examples of what would be considered…
A: Given that We have to find the case when we use binomial distribution and it's example
Q: what is the difference between a Binomial probability distribution and the Poisson probability…
A: The binomial distribution is measure the number of certain random events within a certain frame is…
Q: Should the one-tailed or the two-tailed probability be used to assess performance of the students?
A: The tail of the test depends on the alternative hypothesis of the test. The possible alternative…
Q: It is known that for a laboratory computing system the number of system failures during a month has…
A: It is known that for a laboratory computing system the number of system failures during a month has…
Q: What properties need to be satisfied in order for a table/function to be considered a valid…
A: Probability distribution arise when we need to quantify uncertainty associated with several events…
Q: A die is tossed twice. Getting a number greater than 4' is considered a success. Find the mean and…
A: Given that A dice tossed twice n=2 Sample space=S={1,2,3,4,5,6} Required outcomes=(5,6) p=2/6=1/3…
Q: For a Poisson random variable the mean and the standard deviation are the same. Select one: O True O…
A: If a random variable X~Poisson(λ) than f(x)=eλ λxx!; x≥0
Q: Which is the expectation for a binomial distribution?
A: Given,A random variable X~Binomial(n,p)P(X=x)=Cxn pxqn-x ; x=0,1,2,....nand p+q=1
Q: Create the probability distribution for the random variable G that refers to the number of gadgets…
A: The number of values corresponding to a class or observation is defined as the frequency of that…
Q: Determine the mean, variance, and the pgf of the zero-truncated Pois: distribution.
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Q: Distinguish between the Binomial and Poisson probability distributions.
A: Answer:- Binomial distribution describes the distribution of binary data from a finite sample. Thus…
Q: What are the two requirements for a discrete probability distribution?
A: Discrete random variable: A random variable which takes countable finite values.Discrete probability…
Q: Why is it that the normal distribution is the most useful probability distribution?
A: Solution-: We want to get the reason why is it that the normal distribution is the most useful…
Q: When three coins are tossed once, the probability distribution for the random variable X…
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Q: 16. In a Poisson Distribution, the mean and variance are equal. a) True b) False
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Q: Suppose we are interested in the mean burning rate of a solid propellant, a random variable that can…
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Q: The mean value of the Gaussian probability distribution is numerically equal to its variance. True…
A: The Gaussian probability distribution has two parameters mean and variance.
Q: The Poisson and Gaussian probability distributions of a random variable x assume a similar shape as…
A: The Poisson and Gaussian probability distributions of a random variable x assume a similar shape as…
Q: Derive the mean and the variance of Poisson Distribution
A: The p.m.f. of Poisson distribution is given by P(X=x)=e-m mxx! ; x=0,1,2,....…
Q: What is the difference between a Binomial distribution and a Poisson distribution?
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Q: Is the following a valid probability distribution?"
A: The conditions of the probability distribution are: The sum of probability distribution should be…
Q: If the mean of the following probability distribution is 3.44, what is the variance?
A: Given : Mean = E(X) = 3.44
Q: Calculate the mean for the discrete probability distribution
A: The mean or expected value for discrete probability distribution is μ = ∑x.P(x)
Q: What is the missing probability? What is the median of this distribution?
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Q: Fit a binomial distribution for which the Mean is 6, and the Variance is 4.
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Q: What is required for a probability distribution to be considered binomial?
A: To consider a probability distribution as binomial, if it has a fixed number of indipendent trials…
Q: What is the capital letter gamma denoting a gamma function? What does it do in a continuous…
A: Gamma (uppercase Γ, lowercase γ) is the third letter of the Greek alphabet. In the Greek numerals…
Q: The central limit theorem states that the distribution of the mean of independent, identically…
A: Given that, random variable is independent and identically distributed.
Q: the probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are…
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Q: A random sample statistic will have a probability distribution that is its sampling distribution…
A: A sample statistic is a measure that describes the sample.
Q: The Poisson probability distribution can be used to analyze how frequently an outcome occurs during…
A: The discrete probability distribution of the number of events occurring in a given time period,…
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