Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

Q: Q2/Let X-N(4,9). Find (a) P(1 2). (c) P(|X-21 >5)

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Q: Given that p (n) = 4n² + 4n – 6 and q (n) = n² – 5n + 8, find (p - q) (3). %3D %3D O 26 O 38 O 40

A: The given functions are pn=4n2+4n-6,qn=n2-5n+8.

Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

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Q: Proved Ax (BNC) = (AX B)n (AXC) %3D

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Q: 5(x-3)&lt;2(3x-1)

A: Obtain the x values that satisfies the given inequality 5(x–3)&lt;2(3x–1).

Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

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Q: Use binomial theorem to find the constant term (x-1/x)*8

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Q: Let f(x) = 4x%/1 and g(x) = 2x/² . Find (fg) (x) and L(x). Then evaluate fg and for x = 16. %3D…

A: Use function composition and division rule

Q: Suppose that an = 4" a₁x² + 2a₂x³ + 3a3x4 + 4a4x³. as 00 (i) f(n)x+2 n=0 00 (ii) Σ g(n)x¹+1 n=1 00…

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Q: Given P(A|B) =5 P(A|BC) , P(A) = 0.09 and P(B) = 0.2 %3D %3D %3D a) Find P(ANB) b) Find P(B|A) c)…

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Q: Q2/ Let X-N(4,9). Find (a) P(1 2). (c) P(|X2| >5)

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Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

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Q: 4(x-3)-2(3x+1)<1

A: Given, 4(x-3)-2(3x+1)&lt;1 We will solve this inequality for x

Q: 2-メ Compite lim %3D Xラム z(T-X)

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Q: A) 13x| <|2x -5|

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Q: Evaluate / dx.

A: To integrate

Q: 2 (b) L1²}=3

A:

Q: /x + 3 + 4 – x > - 3

A: Answer

Q: 2. How do you prove a statement of the form ( 3x, P(x) )? Provide examples.

A: To prove a statement of the form (∃x P(x) ), we need to find an example value x such that P(x) is…

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: 6-|x/3|&lt;2

A: Consider the given inequality 6-|x/3|&lt;2

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: A binomial distributinon with parameter n=5 satisfy the property 8P(X=4)= P(X=2). Find P left…

A:

Q: Find the extreme values of f(x) = In 1+x SOUITION

A: Given- fx=lnx1+x2 To find- The extreme value of the above function.

Q: (x+1)² (x-3) > 0

A:

Q: A17 Let Xx² (99). What is Var(X)? Answer to A17:

A: X~chi square (99) We have to find var(X)

Q: Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a…

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Q: What is P(3sX<10)? *

A: From the given probability mass function we find the probability.

Q: Prove: If |S| = n then |P(S)| = 2^n

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Q: Let fx)-1+x+x² and h = 0. (5+1)-(5)-(1)? (a) Does O Yes No Well done! (b) Find f(x + h). (c) Does…

A: We need to find function.