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1. Let X follow a negative binomial distribution with r = 4 and β= 1.2. What is the probability that X = 8? 2. X follows an extended modi ed negative binomial distribution with r =-0.8 and β = 2, and p0 = 0.4. What is P(X = 7)? 3.Let X follow a compound Poisson-Negative binomial distribution with parameters λ= 3.3, r = 4.8 and β= 2.3. Calculate the conditional probability that X = 7 given that X ≤10. 4. Let X follow a mixed negative binomial distribution with β = 1.5 and r following a gamma distribution with α = 2 and θ= 4. What is the probability that X = 2? 5. An insurance company estimates that the number of claims made by an individual in a year follows a Poisson distribution with parameter , where varies between individuals, following a gamma distribution with α= 3 and β= 0.05.
(a) What is the probability that a randomly chosen individual makes 3 claims in a given year? (b) If an individual has made 3 claims in a given year, what is the proba- bility that that individual makes 3 claims in the next year?
Binge drinking and alcohol-related behaviours amongst Pacific youth: a national survey of secondary school students
Calculate the variance-covariance matrix of the OLS estimator of β1.β2 and β3 and verify that:
State the null hypothesis. Calculate the difference between the proportions or means. Calculate the standard' error of the difference in proportions or means.
1. Provide a recommendation to the president that maximizes profits
According to the most recent davenport student profile
Calculate the slack time for each activity and for each path and looking at only the critical path, find the probability that the store will take more than 23 working days to open.
What are its mean and median and what is the procedure for using mean and median to determine whether the data is skewed, and if so, in what direction?
analyze the processed data in statistical survey. below are the results of the processed data.question 1 yes p 0.1986
How should they use the information from the labs?
A population standard deviation
The student government at a university conducted a study
What is the probability that the average amount dispensed in a random sample of size 10 is at least 204 milliliters - What is the probability that less than four correct answers in quiz 2?
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