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1. Suppose five balls are distributed into three urns according to the Bose-Einstein scheme. Find the probability that at least one urn contains three or more balls.
2. Suppose five balls are distributed into three urns according to the Bose-Einstein scheme. Find the expected value of the number of empty urns.
3. Suppose five balls are distributed into three urns according to the Maxwell-Boltzmann scheme, but the probabilities that a particular ball drops into the three urns are :6; :3; :1, respectively. Find the expected value of the number of empty urns.
Hint: Try indicator variables.
The probability of an randomly selected person quits a team is 0.125. Assume the team has n members. Determine the smallest n that the team needs to have if the probability of the team has at least 20 members left is 0.9.
A school accepts the top 10% of the applicants based on the entrance exam. The scores are normally distributed with a mean of 88 and a standard deviation of 3. What is the cutoff score to be admitted to the school?
Test the null hypothesis that the telephone survey technique has a probability of selecting a household with no children that is equal to the value obtained by the census.
If these answers were combined into single statistic, how could we explain sample space? Mention how many elements are in sample space?
To report their finding they want to create a 90% confidence interval. What would be the margin error for this confidence interval?
1. if x is normally distributed with a mean of 70 and a standard deviation of 7 finda. px less than or equal to 76b.
The top 25 companies ranked by market capitalization operating in the washington DC, area along with the year they were founded and the number of employees are given below.
Explain the difference between testing a single mean and testing the difference between two means. What two assumptions must be met when one is using z test to test differences between two means?
scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1
question a political strategist believes that at least 58 of voters in a certain state support his candidate. he then
Professor Green gives two-month computer programming courses during the summer term. Students must pass a number of exams to pass the course, and each student is given three chances to take the exams
Judy's measured potassium level varies according to the Normal distribution with mean = 3.8. If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic?
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