If the random variable X has a Poisson distribution with the parameter ʎ=4, which of the following is the probability of P(X≥4) using the central limit theorem?

Q: According to an article in the August 30, 2002 issue of the Chronicle of Higher Education, 30% of…

A: GivenThe proportion of first year students who are liberals P1=0.30The proportion of first year…

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable…

A: We experience number of situations where chance of occurrence of an event in a short time…

Q: A woman leaves for work between 8 AM and 8:30 AM and takes between 40 and 50 minutes to get there.…

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Q: 20% of the workers in a factory work in plant A and 80% work in plant B.  The number workers…

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Q: During certain time periods at a​ hospital, patients arriving at the emergency room have waiting…

A: In statistics theory, the uniform distribution is the distribution which can be defined as both…

Q: A women leaves for work between 8 AM and 8:30AM and takes between 40 and 50 minutes to get there.…

A: Let the random variable X follows uniform distribution with parameters 0 and 30. Let the random…

Q: If X and Y are independent random variables having the x2 distribution with m and n dom,…

A: From the given information, X and Y are independent variables with χ2 distribution with m and n…

Q: A harried passenger will be several minutes late for a scheduled 10 A.M. flight to NYC.…

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Q: Let Y1, Y2, Y3 be independent binomial random variables with probability of success, p=0.4, and…

A: From the given information, Y1,Y2,Y3 be independent binomial random variables with probability of…

Q: During certain time periods at a​ hospital, patients arriving at the emergency room have waiting…

A: Given Information:The emergency room has waiting times that are uniformly distributed between 0 to…

Q: United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages 12–59…

A: Given Data population proportion,p = 0.179 sample size n = 1000

Q: A certain market has both an express checkout line and a superexpress checkout line. Let X1denote…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Suppose a certain retail store has customers whose ages are normally distributed such that µ=37.5…

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Q: If the conditional distribution of Y, given X with parameter x and if the unconditional distribution…

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Q: t an uncontrolled T- junction, it is seen that on an average, 2 vehicles turn to the right in each…

A: Given: Average number of vehicles in 120 seconds λ=2 Let X be the number of vehicles arriving in 120…

Q: The number of dirt specks on a randomly selected square yard of polyethylene film of a certain type…

A: Given data The number of dirt specks on a randomly selected type has a poision distribution with a…

Q: Suppose that a simple random sample of size n is taken from a finite population in which the…

A: (a)Justification:It constitutes Bernoulli trials, if the sampling is done with replacement. Here,…

Q: What is the minimum value of  k in Chebyshev's theorem for which the probability that a random…

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Q: According to a candy​ company, packages of a certain candy contain ​20% orange candies. Find the…

A: Given p=20%=0.20 n=200

Q: Each of 12 refrigerators has been returned to a distributor because of an audible, high pitched…

A: Note: As per Bartleby’s guideline for more than three subparts of a questions only first three is to…

Q: Suppose A (X ~ PO) is independent of (4) X ~ Po. Prove that the conditional distribution of the…

A: At first   write the distribution of sum of the two independent Poisson variable..........

Q: The probability that a person has a is 2%. Using the Poisson distribution; calculate the probability…

A: Given information: P(Tissue) = 0.02 n = 150 x = 2

Q: Let denote H, - random event that demand for the new product is high, H, - that demand is average,…

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Q: Let X be a Poisson random variable with parameter λ = 5.Compute the probabilities p0, . . . . , p6…

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Q: Suppose that a random system of police patrol is devised so that a patrol officer may visit a given…

A: Let us define the random variable Y as the of number of times petrol officer may visit the beat…

Q: A vegetable basket contains 12 peppers, of which 3 are red,  are green and 5 are yellow. Three…

A: Given No. of red peppers = 3 No. of green peppers = 4 No. of yellow peppers = 5

Q: 5 Estimates for the proportion of people who have COVID-19 in a given community vary over time and…

A: Givenp=0.04n=20Let "x" be the no.of people is infected…

Q: The United States Department of Agriculture (USDA) found that the proportion of young adults ages…

A: Solution : Given that : p = 0.238n = 500mean = np            = 500 × 0.238            = 119sd =…

Q: Verify central limit theorem for the independent random variablesX,, where for each k, P{X =± 1} = .

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Q: Suppose that the random variables X and Y are independent, and that X has the Poisson distribution…

A: From the given information, X and Y are independent. X has Poisson distribution with parameter λ and…

Q: Suppose that X and Y are independent standard normal random variables and let W = XY. 4. (i) What is…

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Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: Given dataP = 17.9% =0.179n = 1000MP = P = 0.179σP = P(1-P)n =0.179(1-0.179)1000 = 0.012

Q: A traffic enforcer counts the nunber of vehicles at a specific locationin the highway. In his…

A: Given420 vehicles arriving in span of 1 hourvehicles arriving in span of seconds  =4203600=0.1167…

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: We have to find probability of proportion is greater than 0.206

Q: Twenty five percent of the tools produced in a certain manufacturing process turn out to be…

A: Given: P( defective) = p =  0.25 n = 10

Q: A space rocket has a device consisting of four units A₁, A₂, A₂, A₁, each of which fails to operate…

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Q: Suppose that, for every family vacation trip by car of more than 2,000 km, an average of 0.50 flat…

A: (a)   Obtain the probability that a family will take a trip of more than 2000 km and have no flat…

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: From the provided information, Sample size (n) = 1000 17.9% of women ages 12-59 test seropositive…

Q: raffic enforcer counts the number of vehicle at a specific location in the highway. In his counting,…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: Let X, X, be two independent random variables with Poisson distribution of parameter X=1/2. Then let…

A: We have given that  X1,X2 be two independent random variables  X~Poisson( λ=1/2) Mean=E(x)= λ=1/2…

Q: A factory received a shipment of 14 flanges, and the vendor who sold the items knows there are 8…

A: Solution: a. From the given information, there are 14 flanges. Out of which there are 8 flanges are…

Q: (a) A stick of length 1 meter is broken into two pieces at a randomly chosen point on the stick.…

A: (a) When we break the stick into two pieces at a point x, we will be left with one piece of length x…

Q: If the joint probability distribution of X and Y isgiven byf(x, y) = 130 (x + y) for x = 0, 1, 2, 3;…

A: Given, the joint probability density function:

Q: Suppose that a simple random sample of size n is taken from a finite population in which the…

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Q: The United States Department of Agriculture (USDA) found that the proportion of young adults ages…

A: Population proportion: P=0.238 Sample size= n= 500 a) To find probability that number of…

Q: Suppose that X is a random variable with distribution function given by 0, x < 0, 告, 0 <x < 1, Fx…

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Q: According to the Central Limit Theorem, the sampling distribution of the mean will be approximately…

A: Only assumptions for central limit theorem are independent samples  from the distribution and with…