The Poisson distribution is a continuous distribution.

Q: Which type of distribution can the Poisson model be used to approximate? When would you do this?

A: We need to use the concept of approximations

Q: Derive the mean and variance of discrete uniform distribution. Show your complete solutions.

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Q: Sketch a graph of a distribution that is positively skewed and state a real life example of when a…

A: Here we have sketch the graph of a distribution that is positively skewed  and have to state real…

Q: Derive an interative  formula for the probability function of poisson distribution.

A: The binomial distribution works when we have a fixed number of events n, each with a constant…

Q: What is the difference between discrete and continuous probability distributions?

A: From the question, We'll distinguish between discrete and continuous distribution.

Q: If Y Poisson(2) and Z Poisson(3) are independent, what is distribution of W = Y + Z?

A: Solution: Given  Y~Poisson(2)    and  Z~Poisson(3)   Y and Z are independent random variable

Q: what is a gaussian distribution?

A: Gaussian distribution (also known as normal distribution) is a bell-shaped curve, and it is assumed…

Q: Derive that mean and variance of the poisson distribution using exponential families.

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Q: The t-distribution is a probability distribution that is used to estimate population parameters when…

A: If we have to estimate the population parameters and the sample size is greater than 30 , we use…

Q: When the degrees of freedom is large, the t distribution becomes?

A: The shape of t distribution depends on degrees of freedom.

Q: Define a continuous random variable.

A: Continuous random variable is given.

Q: What is the distribution of x=21

A: We know that , A discrete distribution is a statistical distribution that shows the probabilities of…

Q: follows the Poisson that number, pattern such If a random P(X = 1) = P (X = 2), find (a) the Mean of…

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Q: Assume that the weight loss for the first month of a diet program varies between 4 pounds and 15…

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Q: What is the number called that determines each unique T distribution?

A: Properties of t-distribution: The t­-distribution curve changes with the change of degrees of…

Q: The number of emergency admissions to a hospital each day has a Poisson distribution with mean 2.…

A: Given : X = The number of emergency admissions to a hospital each day.  X ~ Poisson (mean=2) We have…

Q: results in a unimodal distribution it is called

A: Natural: The things which are coming from nature directly. Unimodal: The Statistical Distribution…

Q: The number of knots in a particular type of wood has a Poisson distribution with an average of 1.8…

A: Given,A random variable X~Poisson(λ=1.8)P(X=x)=e-1.81.8xx!  ;   x≥0

Q: Derive the mean and variance of Bernoulli distribution. Show your complete solutions.

A: Bernoulli distribution is a type of discrete distribution. Based on the bernoulli distribution,…

Q: Define random variables for discrete and continuous variable?

A: A random variable is a variable with an undefined value, or a function that assigns values to each…

Q: Show that normal distribution is a limiting form of Poisson distribution.

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Q: When can we say that populations are normally distributed?

A: Introduction: Several tests of normality exist, using which you can verify whether a particular data…

Q: Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of…

A: Solution: Given data: 30 30 42 35 22 33 31 29 19 23

Q: Determine K and the distribution function.

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Q: Show that Poisson distribution is a limiting form of negative binomial distribution.

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Q: Provide an example of a distribution set that you would expect to generate results that are Skewed…

A: The skewed right distribution is one of the tails is on the right side of the graph. The peak lies…

Q: Determine whether the distribution is a discrete probability distribution. x P(x) 0  0.21 1  0.28 2…

A: Discrete probability distribution :  The probability distribution of a discrete random variable X is…

Q: Identify two uses of Poisson distributions.

A: Poisson Distribution is used for independent events which occur at a constant rate within a given…

Q: Josie and Callie are collecting signatures for a petition. The number of signatures that Josie…

A: Given: The number of signatures that Josie collects follow a Poisson distribution with rate 10…

Q: A grocery store normally sells 6 jars of caviar per week. Use the Poisson Distribution to find the…

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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: In a communication system there is one error every 10 seconds, in average. If the nurmber of errors…

A: Obtain the probability that in 30 seconds there is at least one error. The probability that in 30…

Q: I. Mean of the distribution II. P(5)

A: Given: R.V. has Poisson distribution P(1)=P(2)

Q: The Poisson distribution is a continuous distribution which is very useful in solving waiting time…

A: False The Poisson distribution is the discrete distribution which very useful in solving the waiting…

Q: The number of cars arriving at a gas station can be modelled by Poisson distribution with the…

A: Let X be a random variable represents the number of cars arriving at a gas station and X follows the…

Q: Poisson distribution is applied for ___________

A: Here use basic of poission distribution

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: To find the value of P(4) we will use the fact that sum of probabilities of possible outcome is…

Q: The duration of a professors class has a continuous uniform distribution between 50.0 minutes and…

A: From the provided information, Let X be a random variable which represents the duration of a…

Q: Define Distributions of Linear Combinations?

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Q: (a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2…

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Q: A researcher decides to take a random sample of the population and determine the ALT levels of the…

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Q: Consider a Poisson distribution with a mean of two occurrences per time period.a. write the…

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Q: The Poisson distribution gives the probability for the number of occurrences for a "rare" event. -…

A: (a) The probability that the waiting time to the next reported fatal airline accident is less than…

Q: True or False: The number of customers arriving at a department store in a five-minute period has a…

A: When the average time between events is known and the arrival of event is independent before coming…

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 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,…