(b) Wilson's Theorem: Let p be prime. Then (p-1)!= -1(mod p). Hint: Verify for p = 2 and p = 3 directly. Let p > 3 and note p-3 is even. Each of numbers in the set {2,3,...,p-2} has an inverse distinct from itself in the set. Take the product of the members in the set.

A: b.

A: b) The probability that the resistors are within the allowable tolerance value is 0.90.

A: Please find the explanation below. Thank you

A: Ans-In this question we have to solve d and e part of the given  question  Ans-d) The formula for…

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A: We have find the integral of  4) ∫x4 exdx5) ∫x5 exdx

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A: which is constant.

A: c) To show that g is constant on equivalence classes of ~, we need to prove that for any two points…

A: Here, E=0.03 For 99% confidence level, the value of z is 2.576. Consider p^=0.5 (as sample size need…

A: Our objective is given below:

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A: Given :