Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

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A: here is the proof

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A: Solution: From the given information, a grid of size 6*6.

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A: Summation of series

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A: On solving this we will get

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Q: P(A1) = 0.60, P(A2) = 0.40, P(B1 | A1) = 0.05, and P(B1 | A2) = 0.10. Use Bayes' theorem to…

A: By Bayes’ theorem, P(A1| B1) is given by:

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A: we have, ∑k=-2p-1(3k2-2k+1)

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Q: SVī dx

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Q: c) What can you conclude about this series? Select all that applies. O The series converges because…

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A: We have to prove the series  2+5+8+...+(3n-1)=n(3n+1)2

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A: It is given the probability of a Z-score is lie between +1 and -1.

Q: Prove that 5n +7 and 3n+ 4 are relatively prime for all n E Z.

A: Given two numbers are 5n+7 and 3n+4  We know that two integers are relatively prime iff their gcd is…