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how to work out mode
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1. Let , where are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distribut
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.
to plot (5,-4), start at (0,0) and move 5 units left and 4 units down
which ratio is largar. 1. 15:16 or 24:25
1. Let M be the PDA with states Q = {q0, q1, and q2}, final states F = {q1, q2} and transition function δ(q0, a, λ) = {[q0, A]} δ(q0, λ , λ) = {[q1, λ]} δ(q0, b, A) = {[q2
find any integer from 1-128 on a logarithmic scale
Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:
1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G. 2. Prove, using the Pumping Lemma f
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