The number of MATH310 failures of LIU students in a given section approximately follows a Poisson distribution with mean 5. Then the probability that 50 students fail the course in 10 sections is equal to:

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Solution: Let X be the number of accidents will occur on this stretch of road during a month. From…

Q: On the average, a grocer sells three of a certain article per week. Howmany of these should he have…

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

Q: The number of accidents on a US -131 highway average 4.4 per year. Assuming that the number of…

A:

Q: The number of different mathematics courses at community colleges has a Poisson Distribution with a…

A: Probability that there will be exactly 24 courses at a college:The given information is that the…

Q: If 5% students appearing in an examination fail, using Poisson distribution, find the probability…

A:

Q: The mean number of cars confiscated by a wrecker is five per day.  Using the Poisson distribution,…

A: Given dataλ=5

Q: The number of people that buy packages of Hostess Ding-Dongs at Walmart in one hour is Poisson…

A: Given: X~P(λ)λ=5

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: X= no. Of project taking place in city Mean = 3 poisson distributaion

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

A: Given: λ = 5        {For one section} Formula Used: Poisson distribution:  A random variable said to…

Q: A certain kind of sheet metal has, on average, 3 defects per 20 square feet. Assuming a Poisson…

A:

Q: The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per…

A: Given,A random variable x~Poisson(λ=4)P(X=x)=e-44xx!; x≥0

Q: (a) On average, a clinic receives eight patients in 20 minutes. Assume that the number of patients…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    A) here for poisson process…

Q: The number of cars appearing in a car park follows a Poisson distribution with a mean of 10 cars per…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…

A: Givenλ=7 customers will arrive per hour

Q: Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha…

A: The probability exactly four particles will be counted in the next 2 minutes by defining X to be the…

Q: Suppose the number of customers that enter a bank follows a Poisson distribution with an average of…

A: We want to find the probability that there are only 2 customers who visited the bank from 8:00AM to…

Q: The number X of people entering the intensive care unit (ICU) in a particular Hospital on any one…

A: Number of people entering on any one day = 3, then Number of people entering on any two days = 2 × 3…

Q: The number of complaints that a dry-cleaning estab-lishment receives per day is a random variable…

A: Solution: Let X be the number of complaints that a dry-cleaning establishment receives per day. From…

Q: The number of cracks in a section of interstate highway that are significant enough to require…

A:

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: Given : mean = λ = 7 Poisson distribution  = e-λ λxx!

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: A certain kind of sheet metal has, on average, 6 defects per 11 square feet. Assuming a Poisson…

A:

Q: The number of calls to a 24-hour service “hotline" follows a Poisson distribution with a mean of 2.5…

A: Given information: The number of calls to a 24-hour service "hotline" follows a Poisson distribution…

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 work-related injuries per month in a manufacturing plant is known to follow a Poisson…

A: Let ‘x’ be the number of work –related injuries per month in a manufacturing plant X ~ poisson…

Q: In a recent​ year, a hospital had 4392 births. Find the mean number of births per​ day, then use…

A:

Q: 2 phone calls

A: In a Poisson distribution, the probability that X represents the number of successes of a random…

Q: The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean…

A: Solution To calculate the required probability we will use ppois(x,u) and dpois(x,u ) function and u…

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: We use Poisson distribution if the probability of success of an event is very small. If X is a…

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Given data Mean = 7 Poisson distribution  P(x=3) = ?

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: h

Q: The number of earthquakes in a certain region of California during a 6 month period has a Poisson…

A:

Q: The number of meteors found by a radar system in any 30-second interval under specified conditions…

A: The number of meteors found in any 30-second interval = 1.81 30 seconds =  0.5 minutes So, the…

Q: A bakery makes gourmet cookies. For a batch of 4800 oatmeal and raisin cookies, how many raisins…

A: Let r denotes the no. of raisins used in the batter of cookies. X denotes the no of raisins in a…

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

A:

Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

A:

Q: On average, a J&T delivery rider can deliver 10 packages to their respective owners in one hour.…

A:

Q: A construction company builds on average 5 villas per month (30 days). Assuming Poisson's…

A:

Q: Suppose that the number of calls coming per minute into an airline reservation center follows a…

A: The random variable X denotes the count of number of calls received per minute. The probability that…

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

A:

Q: he number of computer shutdowns during any month has a Poisson distribution, averaging 0.25…

A: Given : The no. of computer shutdowns during any month has a Poisson dist. , averaging0.25 shutdowns…

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 houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per…

A: Given Mean= 2 / week For 4 weeks

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

A:

Q: In a factory, billions nails are produced each week. The quality control group found that about…

A: Assume X to be the random variable representing the number of defectives in a box of 2000 nails. We…

Q: The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per…

A: X has poission distribution. X~Poission(λ) λ=4 per minute X has p.d.f. is   P(X=x)=e-λλxx!;…

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Poisson distribution  the probability mass function   f(x) = e-λλxx!  , x=0,1,2,... given λ=7.6…

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

A: Given : Number of failures of LIU Students in a section approximately follows Poisson distribution…

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

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

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.