Suppose we are counting successes in a Poisson process where we expect 15 successes per hour. What is the variance in the number of successes during a 28 minute period?

Q: Suppose the number of admissions to the emergency room at a small hospital follows a Poisson…

A: The mean of admission in the week is 2 patient per day. The mean of admission in the weekend…

Q: Let the mean success rate of a Poisson process be 8 successes per hour.  Find the probability of 18…

A: The probability of 18 successes in a given two hours 18 minutes period = 0.09319

Q: Suppose we are counting successes in a Poisson process where we expect 1/4 of a success per minute.…

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Q: For a Bernoulli process with success rate .4, what is the variance in the number of trials we need…

A: Given: P= 0.40 The variance can be calculated as: Variance = p(1-p) = 0.40*(1-0.40) = 0.4*0.6 = 0.24…

Q: A statistics professor receives an average of five e-mail messages per day from students. Assume the…

A: Consider,X be a random variable that represent the number of messages that a professor receives. It…

Q: What is the probability of the 7th car exiting within 20 seconds?

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Q: Suppose that the number of telephone calls coming into a switchboard follows a Poisson process with…

A: Given: Mean number of calls per minute λ=10     Let X ~ Poi(10 ) P(X=x) =λx×e- λx!P(X=4)…

Q: ONLY PART E! Assume that the probability of there being a significant accident in a nuclear power…

A: Given that -   Assume that the probability of there being a significant accident in a nuclear power…

Q: What is the variance in the number of successes during a 36 minute period?

A: Let X denote the number of successes during a 36 minute period. Given that  Expected success per…

Q: A new battery supposedly with a charge of 1.60 volts actually has a voltage with a uniform…

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Q: Suppose we are counting successes in a Poisson process where we expect 15 successes per hour.  What…

A: Given that the mean value for Poisson process is λ=15 per hour. That is, λ=15 per 60 minutes.…

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

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Q: probability of the 7th car exiting within 20 seconds?

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

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Q: Selene’s immediate superior notices that she tends to commit an average of 15 errors for every 50…

A: A random variable X is called to follow the Poisson distribution if its takes only non-negative…

Q: Suppose we are counting successes in a Poisson process where we expect 1/5 of a  success per minute.…

A: Let X denote the number of successes s.t. X~ P(λ)  where λ = 1/5 is the rate of success per minute.…

Q: If a real estate office sells 1.6 houses on a typical weekday and sales of houses on weekdays are…

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Q: If the percentage of healthy units in the production of a type of traffic signal lamp is 80% and the…

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Q: If a researcher describes a factorial design as a 2 x 2 ANOVA, what does this mean?

A: Given information: A factorial design is given.

Q: What is the probability that the mean of a sample with 40 elements randomly selected from a normally…

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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: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

A: If one were to see that r/N (of the hypergeometric Distribution) is similar to p, The expected…

Q: a person threw 10 dice 500 times and obtained 2560 times 4,5or 6.can this be attributed to…

A: For 10 dice 500 times roll we have total 500*10=5000 dices drawn, out of which 4,5, and 6 have 50…

Q: Occasionally an airline will lose a baq. Suppose a small airline has found it can reasonably model…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose we are counting successes in a Poisson process where we expect 12 successes per hour. What…

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Q: The manager of a fast-food store realizes that her staffing problems are a result of the variation…

A: Poisson distribution : A Poisson distribution may be a chance distribution employed in statistics to…

Q: Suppose a traffic camera on a given intersection is found to issue tickets to drivers following a…

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Q: Suppose we have a random sample of size 36 from a Poisson distribution with mean 20. Find the…

A: From the given information, Consider, X is the random variable that follows Poisson distribution…

Q: In a poisson distributed character, the mean number of events is 6. Find the variance.

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Q: In the 19th century, cavalries were still an important part of the European military complex. While…

A: Given: The mean is calculated as, mean=∑i=1nfi xi∑i=1nfimean=122200mean=0.61 Hence, the mean number…

Q: According to the Philippine Institute of Volcanology and Seismology (PhiVolcs), an average of 5…

A:

Q: The number of students arriving at a College Dean’s office for academic consultation during…

A: Given: λ=5 The probability that 2 or less students will arrive in the next 30 minutes is obtained as…

Q: A database server is designed to handle a maximum of 100 transactions per second.  If transactions…

A:

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

A: h

Q: Suppose we are counting successes in a Poisson process where we expect 12 successes per hour.  What…

A: The formula of variance is,

Q: Suppose we are counting successes in a Poisson process where we expect 6 successes per hour. How…

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Q: What is the Discrete Variance when sample size is 82 with a probability of 0.82?

A: Formula for variance : Variance = np(1-p)

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

A: Given Data: Let X represent the random variable   X~ Poisson(2.6)

Q: An industrial designer wants to determine the average amount of time an adult spends building an…

A: Given information: Confidence level = 95% Significance level α=0.05 The given data is as follows:…

Q: Suppose people immigrate into a territory at a Poisson rate of 2 per day. Assume that 40% of…

A: Given: X ~ Poisson(2*40%)  => X ~ Poisson(0.8)

Q: Suppose that public opinion in a large city is 72 percent in favor of allowing a large recycling…

A: Let, A: public opinion in favor of allowing B: public opinion against So, P(A): 0.72 and P(B): p =…

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

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Q: The number of errors in any page of a 10-page report is Poisson distributed with mean 5. Suppose…

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Q: Assume that the number of births in a local hospital follows a Poisson distribution and averages 4.2…

A: Given: Mean (λ) = 4.2 Consider, X be a random variable that represents the number of birth in a…

Q: Assume that arrivals of cars at a gas station can be modeled by a Poisson process with rate 2 cars…

A: Given values, λ=2t=3x=3

Q: Suppose we are counting successes in a Poisson process where we expect 15 successes per hour.  What…

A: We are counting successes in a Poisson process where we expect 15 successes per hour. therefore, the…

Q: Suppose we are counting successes in a Poisson process where we expect 12 successes per hour.  How…

A: Xt is a Poisson process counting the successes. Given that Xt follows a Poisson distribution with…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A: Introduction: If X ~ Poisson (λ), where λ is the rate of occurrence of the event of interest in 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.