1. Express the Binomial distribution as an exponential family distribution. Also express the Beta distribution is an exponential family distribution. Show that the product of the Beta and the Binomial distribution is also a member of the exponential family. [14

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A:

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A: Introduction: It is given that customers arrive at the rate of 0.49 customers per hour.

Q: (c) When is this distribution used in the real world?

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A: A random variable X~Exponential(λ)f(x)=λe-λx      ;     x>0and Mean=6.97

Q: Find the value of P(X=1),for a binomial distribution where mean is equal to 3 having 6 trails.

A:

Q: I don't understand this.

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: distributed with μ = 200.75 and σ = 30.25. [a] Find the probability that an elephant’s birth weight…

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Q: T2 #9 Apr 5 Travelers buy their airline ticket X days before the day of the flight, and X has…

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Q: The percent of persons (ages five and older) in each state who speak a language at home other than…

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Q: Suppose we are waiting at the bus stop and a bus arrives every 30 minutes, on average. Let X…

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Q: (a) We wish to test the null hypothesis that the Las Vegas predictions are unbiased. This will…

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Q: Q3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability…

A: Given : X~Exponential(λ) The pdf of X is  f(x)=λ×e-λ×x  ; x>00              ; otherwise The cdf…

Q: i. Show that f(x, a, ß) is a distribution ii. Find E(X)

A:

Q: The time a postal clerk spends with his or her customer has an exponential distribution with a mean…

A: In question, We have given that amount of time is following exponential distribution with mean 4…

Q: A random variable X can be modeled by the Exponential distribution, where 3 = 0 = 4, λ = 1. (a)…

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Q: The cost of all maintenance for a car during its first year is approximately exponentially…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Q3. Exponential Distribution has a memoryless property. Intuitively, it means that the probability…

A: Solution :-