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Prove that if X1 and X2 are jointly normally distributed random variables whose correlation coefficient vanishes then X1 and X2 are independent.
Statistics and Probability, Statistics
Fifty-seven percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random va ...
DePaul University makes student IDs of length 5 characters by picking 2 letters from D,E,P,A,U,L; no repetitions and the order is not important followed by picking 3 digits from 0,1,2,3,4,5,6,7,8,9; no repetitions and th ...
1. A certain compact disc player randomly plays each of 10 songs on a CD. Once a song is played, it is not repeated until all the songs on the CD have been played. In how many different ways can the CD player play the 10 ...
You want to borrow $36,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $750, but no more. Assuming monthly compounding, what is the highest rate you can afford on a 60-month APR ...
The number of phone calls that arrive at a phone exchange is often modeled as a Poisson random variable. Assume that on average there are 7 calls per hour. Show all work. a) Find the probability that there are exactly f ...
What can a continuum of elements in terms of strategic planning mean to performance to small-medium enterprises?
The researchers stated that there were no significant differences in the baseline characteristics of the intervention and control groups. Are these groups heterogeneous or homogeneous at the beginning of the study? Why i ...
1) Prince George's County Public Schools wants to access the effectiveness of its new 1st grade reading program. Ten 1st grade classrooms are randomly selected from across the county. What kind of sampling method is bein ...
A doctor whats to exam prior medical records in an attempt to estimate the proportion of juvenile valley fever cases that escalated to spinal meningitis. He wants to estimate the proportion within 2% with 98% certainty. ...
During a certain week the mean price of gasoline was $2.719 a gallon. A ronadom sample of 32 stations is drwn. What is the probability that the mean price was between $2.695 and $2.716. Assume o=$0.048.
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
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