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Discrete Random Variable Defined on a Finite Sample Space1. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
b) Use part(a) to prove that if X and Y are discrete random variable defined on the same finite sample space S, then we have E(X + Y) = E(X) + E(Y).
2. Use the result of problem 1 above to show that the average number of heads when a fair coin is flipped n times is equal to n/2. Hint: Let H_i be the number of heads on the ith flip. {Note: compare this to the "brute-force" computation to get an interesting combinatorial identity!]
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
The ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys. How many girls are there in the hall?
Evaluate the maximum revenue using cost and revenue function.
Test hypothesis for variance.
The derivative from the rate of changes
Apply Chi Square test of independence to test whether there exists any association between two variables.
use a suitable method for generating the number of days needed to repair the copier, when it is out of service, according to the discrete distribution shown and Using simulation estimate the loss of revenue due to copier breakdown for one year
Find the slope
One mean z test
Calculate the amount earned by a principal.
Find the solution of the given linear equation - Evaluate the time and the height at which she opens her parachute.
Probability of sports, Eighty seven cities were surveyed to determine sports teams. The survey found that
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