Suppose we are counting successes in a Poisson process where we expect 12 successes per hour.  What is the variance in the number of successes during a 25 minute period?

Q: A corporation desires to estimate the total number of man-hours lost, for a given month, because of…

A: Note: HI there! Thank you for posting the question. As there are several independent question, we…

Q: Give two ways to compute the variance of a continuous random variable.

A: 1.Using expectation formula i.e.      here E(X) of a continuous variable X  can be calculated as…

Q: A farmer has a small apple tree whicn produ follows a Poisson distribution with a mean and variance…

A: Given, The distribution is poisson. Mean = Variance  = 8   Assume that, we conduct a poisson…

Q: 3. Suppose we are concerned about the variability of the amount of beer in our beer bottles. random…

A: Using chi square value from table of chi.

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…

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: What is the maximum error one can expect to make with probability 0.95 when using the mean of a…

A:

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: If 40% of items from a production unit contains no flaws, 30% contains 3 flaws, 20% contain 5 flaws…

A: Let X denote the number of flaws. So, the given information is tabulated as- Number of flaws, X…

Q: describe the characteristics of a Bernoulli process and how is it associated with with the binomial…

A: In general, the Bernoulli distribution is the distribution that represents the success and failure…

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

A:

Q: Suppose that we are counting successes in a Bernoulli process with success rate .3. In 200…

A: Suppose that we are counting successes in a Bernoulli process with success rate is 0.3. Number of…

Q: If Random Variable H is getting a head in tossing 4 coins, what is the mean and the variance?

A:

Q: 2. A biased die is thrown fifteen times and the number of threes seen is four. If the die is thrown…

A: The biased die is thrown 15 times and the number of threes seen is 4. Therefore the mean is np=4…

Q: 1. A sociologist wants to study about the average time children play outdoors nowadays. Tentatively,…

A: Given : mean = 2.5 sample size = 16 Population standard deviation = σ = var…

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

A:

Q: What value is the probability that the mean of nine randomly selected individuals from a normally…

A: Sampling distribution of the sample mean x¯ ~ N(μx¯ , σx¯)

Q: Suppose that the number of customer that enter a bank in an hour is a Poisson random variable, and…

A: Let X be poison random variable P(X=0)=0.05 variance of X=?

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: Occasionally, AT cargo company loses parcels. AT has found that it can curb the number of parcels…

A: Express the Poisson distribution formula. P(X=x)=e-λλxx! Given that, the mean of the Poisson…

Q: The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with…

A: (1) Obtain the probability of zero customers per minute. The probability of zero customers per…

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

A:

Q: A couple wishes to have children until they have exactly two female children in their _family.…

A: Negative Binomial distribution :  The negative Binomial distribution addressed the number trials…

Q: In a California community college, 60% of students will transfer to a college in the CSU system. The…

A: From the provided information, 60% of students will transfer to a college in the CSU system that is…

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

A: Poisson distribution

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

A: Let X denote the number of successes then   X~P(λ)  where λ is the average number of success per…

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

A:

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: What is the largest possible variance a Bernoulli(p) random variable can have? (i.e., over all…

A: Bernoulli distribution variance is pq ( p = success probability and q = failure probability which is…

Q: n a normally distributed population with a mean of 50 and a variance of 64, luck samples of n = 9…

A: It is an important part of statistics. It is widely used.

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls per…

A: Using Poisson Distribution

Q: he number of times a customer uses an atm has an unknown distribution with mean = 7 and variance =…

A: The probability of observing a sample mean between 6.4 and 6.8 = 0.2184

Q: Suppose that we are counting successes in a Bernoulli process with success rate .8.  In 100…

A: Given that, we are counting successes in a Bernoulli process with success rate .8 Probability, p…

Q: Suppose that we are counting successes in a Bernoulli process with success rate .4.  In 200…

A: Given: Sample size (n) = 200 Probability of success (p) = 0.4 Formula:

Q: The number of typing errors made by a typist has Poisson distribution with an average of three…

A: According to the provided information, If more than 4 errors appear on a given page, the typist must…

Q: How do you know if a certain distribution falls under Poisson?

A:

Q: Derive the mean and the variance of Poisson Distribution

A: The p.m.f. of Poisson distribution is given by P(X=x)=e-m  mxx!        ; x=0,1,2,....…

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean…

A: The standard normal variate is calculated using the sample mean, population mean, population…

Q: The number of views of a page on a Web site follows a Poisson distribution with a mean of 2.8 per…

A: Obtain the probability of no views in a minute. The probability of no views in a minute is obtained…

Q: Suppose that the time in minutes it takes a student to complete an assignment is normally…

A:

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: Suppose that the fraction of defective modems shipped by a data-communications vendor has an…

A: Given, a=5 b=21 a) The mean and variance of the fraction of defective modems per shipment are…

Q: If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores…

A: Given: X~Nμ,σμ=40σ=80n=16x¯=36

Q: The number of arrivals per hour at an automated teller machine is poisson distribututed with a mean…

A: Given Information Number of arrivals per hour at an automated teller machine is Poisson distributed…

Q: horses in a large stable have a mean weight of 1354 lbs, and a variance of 9604. What is the…

A: Suppose the horses in large stable have a mean weight of 1354lbs and variance of 9604. X~N (µ=1354,…

Q: The following table shows the results of an analysis of variance comparing three treatment…

A: From the provided information, The total treatment (k) = 3 The degree of freedom (Between) = k – 1 =…

Q: a population has a variance of 6.4, what is the variance of the sampling distribution of the means…

A: variance  = 6.4 standard deviation = 6.4                                 =2.5298

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.