If p= 1.2% and n = 500, is the Poisson distribution a reasonable approximation of the binomial distribution? O yes no What is the mean of this binomial distribution (and the mean of the Poisson distribution used to approximate it)? What is the actual standard deviation of this binomial distribution? What is the standard deviation of the (approximate) Poisson distribution? Are these values in reasonable agreement? O yes no

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A: Mean() = 800Variance () = 1600Standard deviation() = = 40X~N(

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A: f(x,y)=λμe−(λx+μy) ; x,y≥0

Q: A casino game consists of selecting two balls, without replacement, from an urn containing 7 balls…

A:

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Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

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A: From the provided information,…

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A: A random variable X has cumulative distribution function is,

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A: We have given thatn = 914x = 556confidence level (c) = 0.95

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A:

Q: Given the probability density function: f(x): = Calculate: 0.08x 0.16 for 2 ≤ x ≤7 elsewhere 0 a)…

A: f(x)=0.08x-0.16 ; 2≤x≤7

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A: Note:- "Since you have posted a question with multiple subparts we will provide solutions only to…

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A:

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A: She has seen a bag containing three red marbles, two green ones, four white ones, and three purple…

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A: X be a normal random variable with mean 85 and a variance of 25

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A: a) If the student answers the 25 questions completely randomly, they can expect to get approximately…

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A:

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A: To determine her heart rate, Charlotte divides up her day into three parts: morning, afternoon, and…

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A: It is given that X denotes the weight of the male and Y denotes the weight of the female.X and Y…

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A: The indicated probability using the standard normal distribution..P(z > 0.04)

Q: Question 4 Let X be a normal random variable with mean μ = 3 and standard deviation σ = 2. Compute…

A: Mean(μ) = 3standard deviation(σ) = 2

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A: We are asked to match the properties to the respective probability distributions.Properties:1. There…

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A: According to the Bartleby guidelines experts solve only one question and rest can be reposted.

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A: μ=3.28,σ=0.18

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A:

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A: From the provided information,Last year at a certain high school, 11 students sought the nomination…

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A: The population mean is 54 and the population standard deviation is 8.

Q: If P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.6, what is P(An B)?

A: P(A)=0.5P(B)=0.7P(AB)=0.6

Q: While making up your schedule for the spring semester, you find that you must take one course from…

A: Since you have posted a question with multiple subparts, we will provide solution to the first three…

Q: In a 1-pound bag of skittles the possible colors were red, green, yellow, orange, and purple. The…

A: We have to check the given table is Probability distribution table or not.

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A: Sample size(n)=16proportion of people who had coronary bypass surgery in 2008 were over the age of…

Q: 4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have…

A: Due 1 : 6 faces(standard die){ 1,2,3,4,5,6 } Die 2 : 3 faces ( one spot ) 3 faces ( six spots )

Q: If 90% of the parts produced by a certain machine do not are not defective and which are chosen at…

A: Probability of the parts produced by a certain machine are not defective(p)=0.90sample size(n)=25Let…

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A: X~U(-2,2)

Q: Ages of Homes Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses” list with the…

A: WhitingMean age = 62.1 yearsStandard deviation = 5.4 yearsn1 = 20FranklinMean age = 55.6…

Q: A total of 10 toys are sequentially and randomly chosen, without replacement from a toy box…

A: No.of red toys=4No.of blue toys=6Total no.of toys=10

Q: Find the indicated probability.   If​ P(A or ​B)=0.6​, ​P(A)=0.2​, and​ P(A and ​B)=0.15​, find​…

A: P(A or B) = 0.6, P(A) = 0.2, P(A and B) = 0.15

Q: Consider the unit cirlce in the plane; that is, the set of all points within a distance of 1 of the…

A: To find the probability density function (pdf) for the distance B=X2+Y2 from the origin to a point…

Q: Suppose that a random variable X has the following probability density function. SC(36-x²) 0≤ x ≤ 6…

A: From the provided information,

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Q: f(x) = {o otherwise (a) Find the value of c which makes this a valid probability density function.…

A: According to the Bartleby guidelines experts solve only one question and maximum three subparts of…

Q: what is the probability of disaster in august if the results of july was correct ?

A: Given the transition probability matrix of the Markov chain as

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A: Mean=16, standard deviations=0.6

Q: (a) Suppose two captains flip frisbees. Assume the probability that a frisbee lands convex side up…

A: (a)Suppose two captains flip frisbees. Assume the probability that a frisbee lands convex side up is…

Q: Suppose there are 10 candies in a jar, and you want to randomly pick a candy without looking. Each…

A: Given:There are 10 candies in a jar.Each time you pick a candy without looking, there's a 1/10…