Let p, q,r E K be given with p an

Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: If a, be Rand a + b 2 0, let P = (a² + b²)° and Q = 32(a° + b³) (ab – a – b), Then P<Qva, b PsQVa, b…

A: Given: a,b∈R .i.e. a and b belongs to set of real number R.a+b≥0P=a2+b23  ,andQ=32a3+b3ab-a-b

Q: Let Hand K be subgraups of a and Ikl-55 fing IHO K! grop C. If IHI =2

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Q: Let A, B and C be members of C. Compare An (BuC) and (An B)U(AnC)

A: A Venn diagram is a graphical representation of a sample space. The sample space in a Venn diagram…

Q: Given the following definintion U= {a,b,c,d,e,f,g} A={a,c,e,g} B= {a,b,c,d} find A ∩ B

A: Given,U= {a,b,c,d,e,f,g}A={a,c,e,g}B= {a,b,c,d}

Q: Show that for n, m e Z+, gcd(2" – 1,2 – 1) = 28cd(n,m) – 1.

A: To prove : gcd(2n-1, 2m-1)=2gcd(n,m)-1where n,m ∈ℤ+

Q: If P(A U B) = = 0.8, P(A n B) = 0.2 and P(A) = 0.6, then P(B) = %3D 0.4 0.3 0.6 0.5

A:

Q: Let S = {a, b, c, d, e, f} with P(a) = 0.16, P(b) = 0.14, P(c) = 0.15, P(d) = 0.25, P(e) = 0.18, and…

A:

Q: If P(A) 0.3, P(B) 0.2, and P(An B) = 0.1 Determine P[(AU B)']

A: As per the given guidelines we are allowed to solve maximum of 1 question If you need help with…

Q: Use the Venn diagram(or any other method)to show that: (f)E∪F=E∪Ec (e)F=FE∪FEc (g)DeMorgan’s laws…

A: The sample space S is represented in a large rectangle, events E and Fare represented in given…

Q: If E, F are independent, E and D are disjoint. P(D)=0.2, P(E)= 0.5, P(F)=0.5. What is P(E ⋂ F' ⋂…

A: We have to find P(E ⋂ F' ⋂ D').

Q: 1. Let P(A) = 0.4 and P(AUB) = 0.6. For what value of P(B) are A and B independent?

A: To find The value of P(B) such that A nad B are independent

Q: 3. Let A %3D (Раul, Perry, Patrick, Peпn, Peyton}, в %3 {Рerry, Penп, Реyton} and C %3 {Jeff,Janet,…

A: Given data:   The first set given is A={Paul, perry, Patrick, Penn, Peyton}. The second set given is…

Q: Two pennies, one with P(head) = u and one with P(head) together independently. Define =w, are to be…

A:

Q: Given the Venn Diagram where U= {2, 4, 5, 6, 9, 10, 16, 21, 23} %3D U M N 13 10 9. 6. 4 23 11 16 21…

A: In the question it is asked to calculate following terms for the Venn Diagram given in question.…

Q: Let A, B and C be members of C. Compare An(BUC) and (An B) U (AnC)

A: Introduction: Suppose x belongs to the set A ∩ (B ∪ C).

Q: Let P and Q be two points in R’. If P = (1, 2, 3) and PQ then Q = (O0:C) 2

A: if P = ( P1, P2, P3 ) and Q = ( Q1, Q2, Q3 ) are two points in ℝ3 then

Q: Lot A and B be ovents such that P (A) = 4/5, P (B) = 1/3, P (AIB) = 1/6, where A' is the complement…

A:

Q: . Given P(E or F) = 0.66, P(F) = 0.12, and P(E and F) = 0.06, what is P(E)?

A: Given, P(E or F) = 0.66 P(F) = 0.12 P(E and F) = 0.06 P(E)=?

Q: 1. Prove: Va, b, c E Z: alb and blc = alc 2. Give an example with a = 7 and b, c + 7.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: If P(A)= 0.41, P(B) = 0.54, P(C)= 0.35, P(ANB)= 0.28, and P(BN C) = 0.15, find P(A BUC) using the…

A: We have to find given probability...

Q: If A is a perfect subset of B and P(a < P(b)), then P(B - A) is equal to Select one: O A. P(b) -…

A: Given that,  A is Perfect subset of B and, P(a &lt; p(b))

Q: If P(A|B) &lt; P(A), prove that P(B|A) &lt; P(B).

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Q: If P (A) = 0.6, P(B) = 0.3, and P(AUB) = 0.4, then compute P(AUB). %3D

A:

Q: If p, q≥ 1 and 1/p+1/q = 1, th || ||D R

A:

Q: Given u = (5,0, 0) and v = (5, 5, 0), which of the following represents u x v?

A:

Q: -6 12 =[{]• .Determine if w is in Col A. Is w in Nul A? Let A = and w =

A:

Q: Refer to the Venn Diagram shown below. Find G'n H' •.. y k z (А) {p, у, t, q, k, z, s} B {k, z, s}…

A:

Q: Given the following definitions: U= [a, b, c, d, e, f, g) A = [a, c, e, g) B = (a, b, c, d} %3D Find…

A: Given: U=a,b,c,d,e,f,gA=a,c,e,gB=a,b,c,dwe have to calculate A∩B'

Q: If X is uniform on [-2,2] then p(x <3) = 3/4 O O o o

A: Given  X~Uniform(-2,2) Pdf of X is  f(x)= 1/4     , -2&lt;x&lt;2       = 0         , otherwise

Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C1 A1 C2 A2 0.7 B2 0.8 %3D [Hint: P(C/A) =…

A: Probability mass function P(X=xi) Simple facts about pmf  ∑(X=xi) =1iP(X=xi ∩ X=xj)=0 if i≠jP(X=xi ∪…

Q: O Prove thal P(m, n) - (n,m).

A:

Q: ute P(

A:

Q: If P, stands for "P., then prove that I+1. P, +2. P, +3. P, +...+n. P, = (n+1)!.

A: that is will be...equal the 1 + 1. 1P1 + 2. 2P2 + 3. 3P3 + …. n. nPn = n+1Pn+1. and we know that nPr…

Q: Consider a set S={1,2,3,4,5} and P(x)=x−110, where x is a member of S. Calculate E(S).

A: It is given that P(x)=(x-1)/10.

Q: 2. Find the measure of each of the following. a. MZABD b. MZAED с. mZBAC 40

A: Solution is given below:

Q: For the following Venn diagram, what is P{(CUB)|Ā } ? A B 0.04 0. 20 0. 20 0.01, 0.06 0.05 0.30 C

A: It is an important part of statistics . It is widely used .

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.15, P(c) = 0.16, P(d) = 0.17, P(e) = 0.23, and P(f) = 0.18.…

A:

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15.…

A: P(a) = 1 - {P(b)+P(c)+P(d)+P(e)+P(f)} = 1 - (0.13+0.19+0.3+0.12+0.15) = 1 - 0.89 = 0.11 So, P(a) =…

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which…

Q: If A is a perfect subset of B and P(a < Pb), then P(B - A) is equal to P(a)P (b) .a .b P(a) + P(b)…

A:

Q: 4). Given: < A, < B Construct: < P so that: m<P= m<A + m %3D

A:

Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: 7 La R,{(,-1). (e0). (d.1)} and R. subsets of AX B where A ((+1), (c,-1). (d.0). (r. 0). (u. 1)} be…

A:

Q: Let S (1,2,3, 4, 5}. For cach n E S, let A, - (TCS4 T}, and lot C- (An nC S} (a) Find A2. (b) Find…

A: (a) By definition A2 is the set of all subsets of S that does not contain 2. We get this as…

Q: If P(A) = 0.7, P(B) = 0.5 and P((A U B)^) = 0.1, then P(A|B) = %3D 0.7 0.5 0.3 0.9 0.6

A:

Q: Suppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and…

A: Given : P(A) = 0.3, P(B) = 0.2, and P(C) = 0.1 P(A U B) = 0.44, P(A^c C) = 0.07, P(BC) = 0.02, and…

Q: bond, is as shown below, Find * (P(0.4s ts6 0, 1/28, 4/28, 6/28, 7/28, 8/28, 1, 0 <t<1 1<t< 3 3 <t<…

A: We have given that the cumulative distribution function of T, the number of years to maturity for a…

Q: Given U={q, r} and V={s, t}, then: uV = {(s,q),(t,r),(r,s),(t,q)}

A: By the relation from linear algebra  we can solve this question.