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Suppose that we roll a fair die until a 6 comes up.
a) What is the probability that we roll the die n times?
b) What is the expected number of times we roll the die?
Combine from JPE, Fall 90 and Spring 97) Let A ∈ C^(n X n) be a normal matrix. Prove that A - M is normal for any λ ∈ C. Prove that ||Ax||2 - ||∧*x||2 for all x ∈ C^n
Which of the following variable(s) are both quantitative and continuous?
What makes this difficult is that at no time can the number of cannibals on either bank outnumber the number of vegetarians. Otherwise, disaster befalls the vegetarians
In what direction should the bug move from P for the temperature to increase the fastest? What is the magnitude of the rate of change of temperature in that direction?
What is the fraction of the chemical that is absorbed with each breath by the animal? Your answer for α should be written as a decimal, not as a percent.
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Determine: the quantity variance, price variance, and total direct materials cost variance; the time variance, rate variance, and total direct labor cost variance
What is the Sample Space? and Find the sets corresponding to the events: A = "hand is in the first four hours." B = "Hand is between 2nd and 8th hours inclusive"; and D = "hand is in an odd hour"?
Solve the given problems by finding the appropriate derivative.
rodrigo paid for his bottle of juice with 1.25 in coins. if he used all 11 coins in his pocket what is a possible
Determine the radius of convergence of the power series n=1Σ∞ (-1)n (3n / n4n) xn. Show that the power series converges for x = 4/3. Determine the sum of the power series =1Σ∞ n(n - 1)(-3/4)n.
the function R(d) represents the revenue from boarding dogs for 1 day. if the daily rate per dog is $15.50, write the function that describe the revenue.
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