The independent random variables X1, X2, ... Xn are each uniformly distributed on (0,1). M is the minimum number of X's that sum to a value of at least one. (so if X1 = .4, X2, = .5, and X3 = .3, M would be 3 since 3 X values were needed for the sum of all the X's to be at least 1).
a. What is the probability mass function of M.
b. What is the expected value of M.
c. What is the variance of M.
someone post a better solution please..thanks for the help and also is n here fixed or then if sum of all n Xi's is less than 1 then what will be the value of M?
The independent random variables X1, X2, ... Xn are each uniformly distributed on (0,1). M is the...
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