Suppose X is the number of text messages received in a day by a certain individual. On average they receive 8 texts per day and X follows a Poisson distribution. save the R script file Answer the following in the space provided. (a) How likely is it that the individual will get exactly 12 texts in a day. (b) How likely is it they will get 5 or fewer texts in a day. (c) How likely is it that they will get more than 2 texts in a day.

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A: Givenμ=λ=0.3x~Poisson(λ=0.3)P(X=x)=e-λ*λxx! ; x≥0

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A: P(x:μ)=e-λλxx!   P(X>k)<0.01P(X≤k)<0.09

Q: A taxi service receives an average of 8.8 calls a day from customers who need a ride to the airport.…

A: Solution:                                    Date:16-2-2022 As per bartleby policy i answered only…

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A:

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Q: Suppose that the number of cars crossing a bridge per day follows a Poisson distribution with an…

A:

Q: Suppose X is the number of text messages received in a day by a certain individual. On average they…

A: Here, λ = 8.

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A: Let X denotes the number of meteors found by a radar follows Poisson distribution with rate λ=1.81…

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A: Given, lamda=6 P(X=5)=?

Q: A corporation has 250 personal computers. The probability that any 1 of them will require repair in…

A: Given,n=250p=0.01mean=λ=npλ=250×0.01=2.5A random variable X~Poisson(λ=2.5)P(X=x)=e-2.5 2.5xx!  ; x≥0

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A: Given, average demand on a factory store for a certain electric motor is 8 per week. x =8

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A: Let 'X' be the no.of babies will be born during  a particular 1 hour period   given,…

Q: Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean…

A: Given,X~poisson (λ)where λ = 2 per hourusing poisson distributionP(X=x) = e-λλxx!

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A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

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A:

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A: X~ Poisson(λ=12)

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Q: 2 phone calls

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Q: Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean…

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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…

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Q: Suppose that the number of emergency patients in a given day at a certain hospital is a Poisson…

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Q: Suppose that a manufactured product has 2 defects per unit of product inspected. Using Poisson…

A: We have given that  Poisson probability distribution  P(X=x)= e-λ ×λx/x! Where λ= 2  Average = λ=2

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Q: On average, Nancy has noticed that 27 trucks pass by her apartment daily (24 hours). In order to…

A: It is an important part of statistics. It is widely used.

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A:

Q: Be a cafeteria with only one attendant. The rate of customer arrivals follows a Poisson process with…

A: Given: λ=10 and 1μ=4 Then,μ=14 per minute=604 per hour=15 per hour

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.