7. Atlantic Hurricanes- Assume the Poisson distribution applies and assume that the mean number of Atlantic hurricanes in the United States is 6.3 per year. Find the indicated probabilities. a) Find the probability that in a year, there will be 5 hurricanes. b) In a 60-year period, how many years are expected to have 5 hurricanes?

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

A: Givenon average of 3 failures for every twenty weeksfor one week =320=0.15λ=0.15 per…

Q: According to recent estimates by the Insurance Corporation of British Columbia (ICBC), 20 percent of…

A: Given: p=0.20 Let  x~B(n,p)

Q: What is the probability that there will be no more than one power surge in 24-hour period? (b). What…

A: Let X denote the number of power surges in an electric grid every 24 hours.  Note : Since you have…

Q: 6. In a certain communications system, there is an average of 1.3 transmission errors per 10…

A: The frequency distribution broadly classified as observed frequency distribution and theoretical…

Q: The # of flaws in copper wire (X), follows a Poisson Distribution with a rate of 1.5 flaws per mm.…

A:

Q: If 2.5% of spare parts delivered to a machine shop were defective, what is the approximate…

A: Given,n=500p=0.025λ=npλ=500×0.025=12.5Let X=no.of defective spare…

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per…

A: Let X denote the  number of content changes to a Web site follows a Poisson distribution with a mean…

Q: (d) The number of errors in a text book follows a Poisson distribution with mean of 0.01 errors per…

A: GivenA random variable x ~ poisson(λ=0.01)P(x=x)=e-λ*λxx! ; x≥0

Q: According to recent estimates by the Insurance Corporation of British Columbia (ICBC), 20 percent…

A: Given: The Insurance Corporation of British Columbia (ICBC) includes the value of 20 percent that…

Q: Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per…

A: Given: Suppose that a mobile telecommunication company’s helpline receives five calls, on average,…

Q: 6. i,How many permutations are required to be sure of predicting the outcome of tossing a six sided…

A: Introduction: Permutation is arrangement of objects in different order. For example, if we want to…

Q: If electricity power failures occur according to a Poisson distribution with an average of 2…

A:

Q: 1. Find the probability distribution for the random samples of committees of size 4 chosen from 8…

A: Probability distribution is the mathematical function that gives the probabilities of occurrence of…

Q: 1. The probabilities that a bakery has a demand for 2, 3, 5, or 7 birthday cakes on any given day…

A: Given:

Q: Suppose that a coin is to be tossed four times, and let X represent the number of tails that occur.…

A: It is given that X represents the number of tails when a coin is tossed four time, then the possible…

Q: In afactory for the production of surveying devices if the percentage of defective devices is 20% of…

A:

Q: The number of bank robberies that occur in a certain busy commercial place is Poisson distributed…

A: Given : Mean = λ = 3.5

Q: 2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean…

A: GivenMean of 2.3 per yearfor 1 month=2.312 λ=2.312 for 1 monthLet "x" be the no. of sightings…

Q: 2. The number of hits to your web site is a Poisson process with a rate of 3 per day. (a) What is…

A: The number of hits to the website is a Poisson process with a rate of 3 per day. Therefore, for four…

Q: 2. The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have type B…

A: Here AS PER NOTE GIVEN I HAVE CALCULATED Q 2 AND 3 Here use basic probability and poission process

Q: 15) Suppose the number of babies born during an eight-hour shift at a hospital's maternity wing…

A: Given: Meanλ = 3 Consider X be the random variable that follows the Poisson distribution.

Q: (a) What is the probability that a randomly selected board cut by the machine has a length greater…

A:

Q: Assume that the number of asbestos particles in a square meter of dust on a surface follows a…

A: We have given that the number of asbestos particles in a square meter of dust on a surface follows a…

Q: Suppose that the following table records the average daily number of traffic accidents reported in…

A: If x follows poisson distribution with parameter λ then its pmf is given by, P(X=x)=e-λ λx…

Q: one nanogram of uranium-238 will have an average 4 radioactive decays per second, and the number of…

A: The Poisson distribution is used to calculate the probability of getting r number of successes over…

Q: 5) From past records, the owner of a fast-food restaurant knows that, on average 2.4 cars use the…

A: We have given that Mean = lambda

Q: In Exercises 9–16, use the Poisson distribution to find the indicated probabilities. Murders In a…

A: From the given information, the murders in a recent year, there were 333 murders in New York CityLet…

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given,The average nunber of bananas per day(λ)=52mean(μ)=λ=52standard deviation(σ)=52

Q: 6. An internal study by the IT department at a company revealed company employees receive an average…

A:

Q: In order to encourage car-pooling doings, a new toll charge is to be introduced on the ERIZ…

A: x                    0          1            2            ≥ 3P(X = x)        0.40       0.35…

Q: The number of content changes to a Web site follows a Poisson distribution with  a mean of 0.25 per…

A: given data, The number of content changes to a Web site follows a Poisson distribution with  a mean…

Q: It is estimated that 55% of the freshmen entering a particular college will graduate from that…

A: Let us assume X=the number of graduates in 4 yearsn=sample size=5p=probability of success= 55%=0.55X…

Q: 3. There are 10 distinct pairs of socks in my drawer, all mixed up. What is the probability that I…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: A tabby cat will disturb its orange-and-white sibling 3.6 times every hour on average. (a) What is…

A: Let X=no.of times a tabby cat will disturb itsorange- and-white siblingX~Poisson(λ=3.5/per…

Q: In a certain population an average of 7.7 new cases of esophageal cancer are diagnosed each week.…

A:

Q: 5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson…

A: Solution: 5. a. Let X be the number of insects caught in a spider’s web in two days. From the given…

Q: a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-year period, how…

A: Here given no of hurricane occurring follow poisson process

Q: The number of visitors to a webserver per minute follows a Poisson distribution. If the average…

A: Given Average number of visitors per minute =8from the poisson distributionP(x=k) =f(x) =e-λλkk !,…

Q: 3. An oil change crew is trying to determine how long the average line for an oil change will be.…

A: Given Arrival rate =20 c/hr

Q: If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x…

A:

Q: 2. If electricity power failures occur according to a Poisson distribution with an average of 5…

A:

Q: 4. Create a probability distribution for distribution of "number of heads" appearing after flipping…

A: We have given that  Total possible number of outcomes = 23 = 8 The sample space, S = {HHH, HHT, HTH,…

Q: Suppose that the following table records the average daily number of traffic accidents reported in…

A: Given information: The data represents the values of observed number of area for the respective…

Q: In a certain population an average of 7.7 new cases of esophageal cancer are diagnosed each week.…

A:

Q: n an office, assume the number of arriving telephone calls has a Poisson distribution with an…

A: λ = 10 ,

Q: 2. Based on data, the number of motor accidents occurring in an expressway is in the form of Poisson…

A: Let X be the number of motor accidents in a week.  X follows poisson distribution with parame

Q: Chu (2003) studied the number of goals scored during the 232 World Cup soccer games played from 1990…

A: (a) The average number of goals scored in a 90-minute soccer game was 2.5. Assuming this average…

Q: Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per…

A: Note: "Since you have posted a question with multiple sub -parts, we will solve first three sub…

Q: 1, Calculate the Poisson Probability and Expected Frequency:

A: Total sample size n = 18+20+15+6 = 59 The expected frequency for k = 1 is  E = 59 × P(X = 1), where…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.