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

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: when samples drawn from a population, which is positively distributed, with replacement and sample…

A: From the given information, Consider, X be the random variable which is positive distributed.…

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: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: (a) Finding the values of α and β : The random variable X represents the time spent by a randomly…

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Given problem is : In a certain vaccination site, the service time for individuals before they were…

Q: a. Which if these estimators are unbiased for 6? b. Among the unbiased estimators, which has the…

A:

Q: Suppose that Joe is sampling the weight of fish in my pond and he knows that the sample mean for…

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: Suppose the prevalence (p=.32) of type II diabetes follows a binomial distribution in a community.…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

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

A: Given information- Success rate, p = 0.4 We have to find the variance in the number of trials we…

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: An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, what is…

A: Given information- We have to find-

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

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: A survey of 40 international students who are studying a postgraduate degree in Sydney reveals that…

A: Denote p as the population proportion. If x denotes the number of cases favorable to an event in 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: 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: An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since…

A: From the provided information,

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: 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: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since…

A:

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: 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: Suppose the time spent by a randomly selected student who uses a terminal connected to a local…

A: 1) The mean and variance of  gamma distribution is  E(X)=rλ20=rλ       ....(i)V(X)=rλ280=rλ2…

Q: An analysis of variances produces dftotal = 35 and dfwithin = 32. For this analysis, what is…

A: A one-way analysis of variances produces dftotal = 35 and dfwithin= 32. For this analysis, what is…

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 bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?

A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…

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: In an art school, the time it takes for students to paint a dessin painting is normally distributed…

A:

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: 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: The owner of a fast-food restaurant knows that, on average, 2.4 cars (customers) use the…

A:

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: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: Let p be the probability that it rains any day in a month. Given that p = 2/3 Let X represents the…

Q: For a Poisson random variable, what is the relationship between its parameter and its mean?

A:

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: Show that the variance of a weighted sum of uncorrelated random variables equals the weighted sum of…

A:

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: Suppose it is believed that the probability a patient will recover from a disease following…

A: Given that the probability a patient will recover from a disease following medication is 0.8.…

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