(5) If X is the number of heads obtained in four tosses of a coin, the mode of Y = ____ is: 1+X (a) (b) 1 (c) 4 (d)

Q: O Find reve y (z 3hax

A: To determine: (1)    ∂2y∂x∂z ,  for   y = z14-3 ln ax2-2 ,  a is a constant. (2)  ∫01∫01∫01z3y3x2 dx…

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: xdx 3 (5–4x-x2) Z

A: We have to evaluate the integral

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

A:

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: According to information released by the U.S. Census Bureau in July 2009, the population of…

A: The answer is found in step-2

Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

A:

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

A:

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: Vandermonds Theorem: 2 F₁ (-n, b; c; 1) (c-b) (c)₂

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: If A C B, P(A) = 1/4, and P(B) = 1/3, find P(A|B) and P(B|A).

A: Step 1 :Here given,P(A)=41​P(B)=31​Here,A⊂B given,So that P(A∩B)=P(A)  Step 2 :We need the value of…

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: Find Re(2) if z(4 +) -z+ (80 + 96)

A: In the given question we have to find Re(z) if…

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

A:

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: Given that P = (3 -4) and Q = (-2 1)                          (7 6)                ( 0 5) Calculate:…

A: To Calculate:a) ½(P)b) 1/3(Q)c) 1/2(P) + 1/3(Q)d) ½(P) – 1/3(Q)e) 1/3(Q) – ½(P)

Q: Suppose P(A) = .17, P(B) = .18, and P(C) = .65. Assume that P(D | A) = 3 P(D | B) = 8 P(D | C). Find…

A: Given,P(A) = 0.17P(B) = 0.18P(C) = 0.65P(D | A) = 3P(D | B) = 8P(D | C)

Q: B) Find m42 if mz1 = (4x - 7)º and m42 (10x+13)°. +11 = 2 P

A: To find m∠2 if m∠1=4x-7° and m∠2=10x+13°.

Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality