The number of cookies sold at a bakery each day follows a Poisson distribution with a mean of 7.2. (a) What is the probability that the bakery sells fewer than five cookies in a day? (b) What is the probability that the bakery sells exactly twelve cookies over two days? (c) What is the variance of the number of cookies sold in a seven-day week?

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A: Solution: Let X be the tyre lifespan for economic sedan car. From the given information, X follows…

Q: It has been observed that the number of traffic accidents on Long Island Expressway requiring…

A: pmf of poisson distribution is = f ( k ) = e^-k  k^x / x!where       k  = parameter of the…

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Given that on average you receive 2.6 pieces of junk mail a day.  And the number of pieces of junk…

Q: The commuting time for a student to travel from home to GHS is normally distributed with a mean of…

A:

Q: In a study, it was found that female consumers went shopping 6 times a month on average. For the…

A:

Q: The amounts of electricity bills for all households in a city have a skewed probability distribution…

A:

Q: A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10…

A: Given μ=10σ=3

Q: A species of extra-terrestrial has a mean height of 23 cm and a standard deviation of 3.6 cm. What…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The number of traffic accidents per week in a small city has a Poisson distribution with mean equal…

A:

Q: The number of utility bills delivered correctly per batch by the postman is modeled by a Binomial…

A: HERE AS PER GUIDELINES I AHVE CALCULATED FIRST MAIN QUESTION  A. The number of utility bills…

Q: The number of daily visitors to an ice cream parlor is Poisson with a mean of 25. Using normal…

A: Normal Approximation to Poisson : If X ∼Poisson (λ)  ⇒  X ≈N ( μ=λ, σ=√λ), for λ>20, and the…

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A: Given: Mean μ=30,000 S.D σ=4500 n =100 Probability that mean lifespan of the tyres for these 100…

Q: The number of traffic accidents per week in a small city has a Poisson distribution with mean equal…

A:

Q: One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a…

A: The probability mass function of Poisson distribution is given as follows: (a) The required…

Q: The number of cars arriving at a toll booth in five-minute intervals is Poisson distributed with a…

A: It is given that the number of cars arriving at a toll booth in five-minute intervals is Poisson…

Q: The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a…

A: Given,sample size (n)=50mean(μ)=$1000standard deviation(σ)=$350

Q: A study found that consumers in the 18-24 age group go shopping 6.9 times a month on average. For…

A: Here, X is number of times consumers of age group 18-24 go for shopping. We are given average number…

Q: The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive…

A: A poisson distribution is used to estimate the probability of number of event that can occur in an…

Q: Flaws occur in the interior of plastic used for automobiles according to a Poisson distribution with…

A: Given,   Let X follows Poisson distribution with parameter λ=0.05   Poisson distribution:

Q: The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of…

A: (a) Obtain the probability that no Lexus is sold on a particular day. The probability that no Lexus…

Q: If the random variable X follows a Poisson distribution with parameter 7, what is the probability…

A: given ,  X follows poission distribution (λ=7)

Q: In a certain geographical region, the annual rainfall is normally distributed with a mean of 102.2…

A:

Q: Occasionally, AT cargo company loses parcels. AT has found that it can curb the number of parcels…

A: Express the Poisson distribution formula. P(X=x)=e-λλxx! Given that, the mean of the Poisson…

Q: In a study of the effectiveness of an insecticide against a certain insect, a large area of land was…

A: Given data ,λ=0.5

Q: The number of MATH310 failures of LIU students in a given section approximately follows a Poisson…

A: Answer is 0.9933.

Q: The number of alpha particles per square centimeter emitted by a radioactive substance is Poisson…

A:

Q: An insurance risk manager has observed that the most common insurance product purchased by business…

A: Given Information:  Mean value = 32.2 m Standard deviation = 0.3 m

Q: It is known that in a bank, the average time required to process the customers’ transaction is 15…

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Q: The number of MATH310 failures of LIU students in a given section approximately follows a Poisson…

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A:

Q: Suppose that the number of customers who enter a supermarket each hour is normally distributed with…

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Q: Suppose that the body lengths of adult male crested porcupines in a certain region in the U.S. are…

A: The random variable X is defined as the body lengths of adult male crested porcupines in a certain…

Q: The time for a student to commute from home to a university campus is Normally distributed with a…

A: It is given that the mean is 25 minutes and the standard deviation is 10 minutes.

Q: catchIng Sick leave time used by employees of a firm in the course of 1 month has approximately a…

A: The course of 1 month sick leave time is used by employees in a particular firm is follows a normal…

Q: On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to…

A:

Q: The number of typing errors made by a typist has Poisson distribution with an average of three…

A: According to the provided information, If more than 4 errors appear on a given page, the typist must…

Q: How do you know if a certain distribution falls under Poisson?

A:

Q: In a human genome there are 6.4X109 basepairs and the mutation rate per generation per basepair is…

A: The expected number of new mutations in a new generation is approximately between 100 and 200. There…

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Expected no. of junk mails per day = 2.6 Expected no. of junk mails in 10 days = 2.6*10 = 26 = λ

Q: If the annual proportions of new restaurants that fail in a given city may be looked upon as a…

A: Given X~Beta (α,β) and its prob density is given by f(x)=Γ(α+β)Γ(α)Γ(β)xα-1(1-x)β-1  for 0<x<1…

Q: On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to…

A: It is given that 21 trucks will pass in 24 hours. Thus, in one-hour period average number of trucks…

Q: The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed…

A:

Q: In building materials laboratory, it has been observed that a failure proportion of concrete cubes…

A: The question is about prob. dist. Given : Failure prop. of concrete cubes ( p ) = 0.03 Total no. of…

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

A:

Q: It is assumed that the requests coming to a server with an average of 36 requests per minute are…

A: wr have to find probability by normal approximation of poisson distribution.

Q: In analyzing a patient admissions at a hospital, it is found that 31,469 patients were admitted in a…

A: Determine the standard deviation for the values of x. The standard deviation for the values of x is…

Q: A manufacturing process produces on the average 1.2 defects per 100 units of output and the number…

A: Given A manufacturing process produces on the average 1.2 defects per 100 units. The number of…

Q: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson…

A: Solution

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.

Q: Suppose that during lean hours in a call center, the number of calls received during any specified…

A:

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.