Data from 14 cities were combined for a​ 20-year period, and the total 280 ​city-years included a total of 107 homicides. After finding the mean number of homicides per​ city-year, find the probability that a randomly selected​ city-year has the following numbers of​ homicides, then compare the actual results to those expected by using the Poisson​ probabilities:

Q: In a recent year​ (365 days), there were 634 murders in a city. Find the mean number of murders…

A: Given data,No of days in a year is n=365No of murders in a city is x=634Let x be number of murders…

Q: The average time it takes a music producer to complete a recording of a pop song is 53.5 minutes.…

A:

Q: Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a…

A:

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: The mean height of women in a country (ages 20 - 29) is 64.1 inches. A random sample of 55 women in…

A:

Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If 12% of the…

A:

Q: Based on a smartphone​ survey, assume that 48​% of adults with smartphones use them in theaters. In…

A:

Q: The time between arrivals of vehicles at particular intersection follows an exponential probability…

A:

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

A:

Q: The time between aircraft landing at a local airport has an exponential distribution with a mean of…

A: Let X=The time between aircraft landing at a local airport Given that X follows an exponential…

Q: Given that the mean weight of schoolchildren's book bags is 17.5 pounds, with a standard variation…

A: We have given that Population mean = 17.5 Standard deviation = 2.2 Sample size n =30

Q: The number of packages a business receives in a week is a random variable with a mean and variance…

A: Considering the variable "no. of received packages in a week" only assumes a distinct non-negative…

Q: Among 110 Grade 9 students at a public high school, only 25 are athletes. if 10 of the students are…

A: The sample of the number of students is n=10. The probability of 25 students are athlete,…

Q: The number of packages a business receives in a week is a random variable with a mean and variance…

A: Step 1: Suppose x is the random variable that defines the number of packages a business receives in…

Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If12% of the…

A:

Q: If the mean time is between unscheduled maintained of lcd displays in a hospital scan facility is…

A: We have given that λ = 1/4000 Let X is a random variable shows the time ofunscheduled maintenance.…

Q: 58% of all violent felons in the prison system are repeat offenders. If 43 violent felons are…

A: Here Normal approximation to binomial dist. is applicable  as np and nq are greater than 10

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

A:

Q: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

Q: the duration of a professor's class has a uniform distribution between 50.0 minutes and 52.0…

A: It is given that the duration of the professor’s class follows U(50,52).

Q: Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find…

A: Here given that 20% of fruit flies possess the gene. In a sample of 20 we need to find the…

Q: In a large population, 59%6 are infected with a certain disease. If you take a random sample of 30,…

A: Given,n=30p=0.59Let x=no.of people infected with certain disease.x~Binomial(n=30 , p=0.59)P(X=x)=Cx…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: A popular art museum in Izmir can accept 1,200 visitors a day. If this amount of traffic is…

A: We have given that  We want to use exponential distribution.  Mean = β Where  λ  = 1/β

Q: It is known that the prevalence of Tuberculosis in a community is 9% what would be the probability…

A: given data P(tuberculosis) = p = 0.09sample size (n) = 10x = no. of individual with tuberculosisP(x=…

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

Q: Scoring a hole-in-one is the greatest shot a golfer can make. Once 55 professional golfers each made…

A: Given, Probability of success=p=1/2856 n=55

Q: A certain type of rocket has 5 ignitors which act independently of the others. Each ignitor has a 5%…

A: Let X denotes the number of ignitor fails which follows binomial distribution with sample size 5 and…

Q: The lifetime (years) of a television power adapter can be considered to follow a Weibull…

A: We have given that parameter for weibull distribution a = 15.0 and  b = 1.59

Q: The lifetime of an electronic device is modeled as an exponential random variable. If 16% of the…

A:

Q: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

A: Given data,Sample size n=5Percentage of production of defective blocks is p=0.6Let X be event that…

Q: The Association reports that among individuals in the 48 to 55 age, 45% drink coffee. If 200 people…

A: let X: number of coffee drinkers…

Q: The length of a fully grown plant is normally distributed and has a mean of 35cm. It is found that…

A: Solution: Let X be the length of a fully grown plant. From the given information, X follows normal…

Q: When making random guesses on an 8 question quiz the probability of guessing correctly on any one…

A:

Q: university study involves a simple random sample of 26 students taken from a population of​ 12,550.…

A: Given that Simple random sample size (n) = 26 Population size  = 12,550 Undergraduate students make…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.