07 © IS A E B then P(B-A) P(B)-P(A) P(B-A) = P(B)-P(A) PCB-A) = P(AL-P(B) P(B-A)

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

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Q: 7 - 4/5 ? (a) 7 1/5 (b) 6 2/5 (d) 5 3/5 (e) 1 3/5 (f) 6 1/5

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Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: Let n(B) = 5 and n(AUB) = 7. (a) What are the possible values of n(A)? (b) If n(An B) = 0, what are…

A: Let A and B be two sets , then  n(A∪B)=n(A)+n(B)-n(A∩B) . Given that n(B)=5 and n(A∪B)=7 .

Q: The guests of a party arrive one by one. If X is the number of people who arrived when a birthday…

A: a) The possible values of X are 2,3, ... , 365 (assume there are only 365 days in any year) There…

Q: 3sin (y) xcos 4 dzdxdy

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Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

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Q: Value of the 7th term in (2x + y)"?

A: Follow the procedure given below.

Q: What is the result of the following operation: (1,10) n (10) (A) 0 B) (1,10) (1,10) (1,10)

A: We have to find the intersection The intersection of two sets is the set of elements that are common…

Q: Which of the following statement is always true? (a) p(2n) = p(n) (b) p(n) is always even. (c) Edin…

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Q: Given P(A|B) = 3 P(A|B°) , P(A) = 0.02 and P(B) = 0.25 a) Find P(ANB) b) Find P(B|A) c) Are A and B…

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Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

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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: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

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Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

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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: Let a ER and set fa: R→R: xx+1|-2|2x|+ a. S(a)= {r ER: fa(x)=0}. (So, S(a) is a set). P= {a € R:…

A: Given information fa : ℝ→ℝ  : x→x+1 -22-x +a Sa =  x∈ℝ : fax =0  P =  a∈R : Sa = ϕ Qa =  x∈ℝ : fax…

Q: Evaluate the Exponents 3 1) (10) 11 ) (5) %3D %3D 2) (-6) 12 ) (-7) %3D %3D 3. 3) (-3) 13 )(-10) %3D…

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Q: SupposethatAandBaretwoindependenteventswithP(A) = 0.3andP(B) = 0.3. Calculate(a) P(A and B) (b) P(A…

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Q: b) Evaluate UTM L{t*e- 6(t-2)}. TM

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Q: P(ANB) = P(A)NP(B).

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Q: If C(12,4)+C(12,5) = C(n, 5), then n is equal to

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Q: show that the general factorial function: () (¹) (+).. m (a)m here m is a positive integer and n is…

A: Given Data: To show that the general factorial function  αmn=mmnαmnα+1mn.........α+m-1mn here m is a…

Q: If n(A) = 9, n(B) = 12, and n(ANB) = 5, what is n(AUB)?

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Q: Let gcd(a, b) = d then which of the following is correct (i) dla (ii) d|b (iii) d[(ax + by) (a) only…

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Q: An employee of a car parts store was mistaken and saved the defective flashlights, along with the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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

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

Q: If p(z) = (z-3)(z+4)(z-8) then find p(5)

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Q: In binomial if g(x) =0, then

A: Given:  gxnx=0                                        (1)

Q: If x is N(0,2) find (a) P{1£x£2} and (b) P{1£x£2x³1}

A: Given that,  X~ N(0,2)  Where, mean of x= 0  Standard deviation of x= 2 We know that, z-score=…

Q: Q5// If P(A)=P(B) = P(B/A)=, find: 1. P (ANB) 2. P(AUB) 3. P (AUB) 4.P (A/B)

A: Solution

Q: 2. Almost! But there's nothing that maps to 0. In your notes at the top you've listed ℕ={1,2,3,…},…

A: Solution:  f : Z → N Consider f(x) = |x| Now, we see, f(-1) = |-1| = 1 and f(1) = |1| = 1 although…

Q: Let yk = (-1)*; then A(-1)* = (-1)*+1 – (-1)* = 2(–1)k+1. (1.113) Let yk = k(-1)*; then Ak(-1)* = (k…

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Q: Show that (a) € (-1) (2m) ! P2m(0)=22m (m !)² (b) P2m+1 (0)=0.

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