The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12. What is the probability of observing exactly 12 accidents during the coming year? What is the probability of observing no more than 12 accidents during the coming year? What is the probability of observing at least 15 accidents during the coming year?

Q: ow a Poisson distribution, with a n of 2.5 work-related injuries a h. What is the probability that…

A: Given:λ = mean=2.5x = Number of injuries occur. For the first case, there is not injury means x=0.…

Q: Suppose that electrical components have lifetimes that are independent and come from a normal…

A: Given : Suppose that electrical components have lifetimes that are independent and come from a…

Q: what is the probability of observing exactly three accidents on this stretch of road during a month…

A: Given problem is Poisson distribution Let X: Accidents on stretch  road  Mean=m=7.4

Q: The number of traffic accidents on a busy toll bridge in a month is modelled by Poisson Distribution…

A: When the probability of success of an event is very small, we use poison distribution. If 'X' is a…

Q: ppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: given data  λ = 6 births per week cx = no. of births in a week P(x=X) =e-λ(λ)xx!

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: According to the Department of Education, college students spend an average of 270 minutes per day…

A: The probability that students spent less than 230 minutes on their phone that day is obtained below:…

Q: Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia,…

A: Given: X~N(μ,σ)μ=88σ=6.4

Q: A coin is tossed 5 times. What is the probability that a) at most 2 heads will occur? (b) At least 2…

A: Given 3 problems related to binomial distribution.  We have to find the indicated probability in…

Q: he birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A: Given Data: Let X represent the birth rate per hour   λ=1.2 X~ Poi (1.2)

Q: Consider a Poisson distribution with a mean of 3 occurrences per time period. Find the probability…

A: Given : Consider a Poisson distribution with a mean of 3 occurrences per time period i.e λ = 3

Q: Delivery times for shipments from a central warehouse are exponentially distributed with a mean of…

A: Given:Note that sample mean  follows a Normal distribution with

Q: For the last 10 years, a certain school in Visayas has a passing rate of 63.25% for the bar exam. If…

A:

Q: Suppose the salaries of a company that pays to its employees are normally distributed with an…

A:

Q: In 2019, NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours of 3pm and…

A: Given Information:  NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours…

Q: Suppose you are an environmental researcher for an organization. As part of your research, you…

A: Givensample size(n)=43Mean(μ)=381standard deviation(σ)=31

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: 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: Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: From the provided information, The number of births at a local hospital follows a Poisson…

Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…

A:

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

A: Given,The average no.of accidents in a month is 8.4so the average no.of accidents will occur in two…

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

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

Q: A company produces light bulbs whose life follows a normal distribution, with mean (1355) hours and…

A:

Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

A: The Poisson distribution is given by, px; λ=e-λλxx! Here, x is the number of crashes of a mainframe…

Q: Data from the Central Hudson Laboratory determined that the mean number of insect fragments in…

A: Given Information: In a 27-gram bar the mean number of insect fragments would then be 1.73. Assume…

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: Suppose times for the 100m sprint for the average person are unimodal and symmetric with mean 14…

A: Consider X be a random variable which follows normal distribution indicates average time in seconds.…

Q: According to a report each malaysian student uses an average of 125kg of paper in a year. suppose…

A: Given,mean(μ)=125standard deviation(σ)=78

Q: A bank received on average 8 bad cheques per day. What is the probability that the bank will receive…

A:

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

A:

Q: Suppose the heights of 18 year old men are approximately normally diatributed, with mean 67 inches…

A: Mean = 67 Standard deviation = 5

Q: A bank received on average 7 bad cheques per day. What is the probability that the bank will receive…

A: Solution: From the given data, Average rate of bad cheques (λ) = 7 per day Using Poisson…

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.