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A fair, six-sided dice is rolled two times. Let X1 and X2 denote the number of points showing on the ¯rst and second rolls, respectively. Let U = X1+X2 and V = X1¡X2.
(a) Find the mean and variance of V .(b) Find the covariance of U and V .(c) What is the probability that X2 < X1?(d) What is the probability that U = V ?
Compute Dice Probabilities Solution Set, I roll two dice. Work out what the probability of achieving a 5 on either die
Use a two sided test at the alpha level.
The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity,in liters,of a female with height H,in centimeters,and age a,in years
The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
If I have a 10,000 death benefit at work that is left on deposit for 7 years at an annual interest rate of 5%. The balance after 7 years is what? and then is going to be paid out in 120 equal payments.
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Find the demand function , where is the number of the television sets sold per week, assuming that is linear.
if a one person household spends an average of $62 per week on groceries, find the maxiumum and minimum amounts spent per week for the middle 50% of one- person households. assume the standard deviation is $10 and the veriable is normally distribu..
assume that adults have iq scores that are normally distributed with a mean of 102 and a standard deviation of 15. find the third quartile Q3 which is the iq score separating the top 25% from the others.
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