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Claims arrive at random times to an insurance company. The daily amount of claims is normally distributed with mean $1570 and standard deviation $450. Total claims on different days each have this distribution and they are probabilistically independent of one another. Round your probabilities to 3 decimal points.
a) Find the probability that the amount of total claims over a period of 100 days is at least $150,000. (Use the fact that the sum of independent normally distributed random variables is normally distributed, with mean equal to the sum of the individual means and variance equal to the sum of individual variances.)
b) If the company receives premiums totaling $165,000, find the probability that the company will net at least $10,000 for the 100-day period.
Determine the confidence interval for population mean and the Superintendent wants to determine the average amount of hours per week the student population studies at home.
The sample correlation coefficient between x and y is 0.375. It has been found out that the p-value is 0.256 when testing H0: ρ = 0 against the two-sided alternative H1: ρ ≠ 0. To test H0: ρ = 0 against the one-sided alternative H1: ρ > 0 at a sig..
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Given that the student you choose is a senior, find out the probability of selecting a non-senior?
Determine the cost Xs to develop the support system for which the probability of exceeding Xs is equal to 0.01?
Estimate the probability the store will gross over $850 a) At least 3 out of 5 business days.
Your task is to interview a representative sample of attendees for the large concert venue where you work. The new season includes 200 live concerts featuring all types of musicians and musical groups.
A teller can process an average of 100 customers per hour, which also can be modeled by a Poisson distribution. If there is one teller on duty, determine:
Which of the following statements isn't a property of the normal probability distribution? Please explain briefly why
Sample size of only 20. Find out a 95% confidence level for population Cp.
Three times each year, the procurement manager at Phoenix contacts National\'s marketing department to place a monthly order for each of the coming four months.
Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work so I can see how to do this for the future. This one is good example of what I can do in future for real estate.
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