P(X₁ = x₁, ..., Xn = xn) = P(X₁ = x₁) [I²²2 P(X; = Xi| X₁ = X₁, ..., Xi−1 = Xi−1 )

Q: find a if A=8a

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Q: iF Xn Bin (60 0.7) Find P(X=4)

A: X~Binomial(n=6 , p=0.7) then find P(X=4)=?

Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: So [3/x] dr

A:

Q: Given that m*n=3m-n, find the value for y for which (2*1)*y=0

A: Given mn=3m-n

Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Compute (12.3 - x) for the following set of n = 5 values. X1 = 0, x2 = 2.9, x3 = 5.5, x4 = 0.4, x5 =…

A: Use the given information to obtain the objective of the problem.

Q: 7. -1 Find KL 7. 12

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Q: Evaluate p = 12 || x₁ + x2 n₁ + n₂ for x₁ = 2, X₂ = 15, n₁ = 53, and n₂ = 34. (Round to four decimal…

A:

Q: n=2 n (2n — 1)!

A: The given expression is an infinite summation, where the indexing variable "n" starts from 2 and…

Q: How was the S1 found on answer A?

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Q: Express e(1/2-6) in the form a + bj.

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Q: For n = 10 and x = 7, find n! x!(n-x)!

A: The given expression is .To solve the expression for and .

Q: O Determine rand s so that, 3.

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Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

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Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

A:

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: a. Use the formula S, = (a, + a,) to show that the sum of the first n positive integers is S, = (1 +…

A: The given formula is,

Q: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

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Q: for part b of the question, how did we get 2 answers after isolating for x?

A: Since the sinusoidal function is periodic , we get the repeated value.We can clearly see this in a…

Q: Solve for n E Z+: 5 = n Ilog, (k+ 1) k k=2

A:

Q: Compute |A| for the following:

A: Given, we have to find the determinant of A

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: X Evaluate Cxp*(1-p) for n = 4, p = 0.4, x = 3. The answer is (Round to four decimal places as…

A: given data n= 4 p=0.41-p=1-0.4=0.6x=3we have to find out the probability for x=3here we use formula…

Q: Find x. A (2x – 15)* (2x 15)° - C

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Q: Find the value of (-j)!nj.

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Q: Σ (4) -1 x = 4

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Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: Before kerosene can be used as jet fuel, federal regulations require that the pollutants in it be…

A: Given that each foot of the pipe removes 20% of the pollutants, we can say that 80% of the…

Q: The value of n such that ph pn- ,n> 4 is 15.

A: