2. If P(A) = 7/13, P(B) = 9/13 and P(A∩B) = 4/13, evaluate P(A|B).

Q: 0 2 4 6 2 3 4 5 If A = Compute C1(A). 2589 3 2 1 7

A:

Q: 12. What can you conclude from (PV Q) ^ ¬P? Prove it.

A:

Q: = .7 and p, = .6. Test Ho: (P, – P2) =0 against Ho: (P, - P2) >0 using. .05 a =

A: Hypothesis testing about the difference between two population proportions is otherwise called…

Q: Ave the following fancEions contindous FCx)sメーZ メー2 てト=メ 1P 2) FCX)s X 3-5X +7

A:

Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

A:

Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

A:

Q: 4. Use rule of inference to show that if Vx(P9x) → (Q(x) ^ S(x))) and Vx(P(x) ^ R(x)) are true, then…

A: Given: Lets determine∀xPx→Qx∧Sx and ∀xPx∧Rx is true and ∀xRx∧Sx is true using rule of interference.

Q: Find det (A) (2 3 4 5 1 32 4 A = %3D 5 34 1 4 2 3 5,

A: To determine the determinant of the below matrix. A=2345  1324  5341  4235

Q: 4). Use rules of replacement to prove the following: a). (p^~q) (p^q) = p b). (pvq) →→ r = (p → r) ^…

A:

Q: 2. Suppose A is an m x n matrir, x ɛ Rª and Ax = b. Then b is in 1) R" | 2) R™ 3) RmfnT 4) R™n

A: Given :  A is an mxn matrix , x∈Rn and Ax=b   To find :  b is in which space of the given spaces.

Q: A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the…

A: Defining  A1: Travelling on the airplane #1A2: Travelling on the airplane #2A3: Travelling on the…

Q: Suppose p is true, q is true, r is false, s is talse. Find the (s V p) ^ (~r V ~s) True False

A:

Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: E O a. Odette is not eating. O b. Lancelot is not hungry. O C. Lancelot is not eating. O d. Odette…

A:

Q: In a prefabricated building factory, 1000 molds, 400 of which are made of wood, found that 10% of…

A: GivenThe total number of molds =1000The molds made up of wood =400 The percentage of molds which are…

Q: If ZH and LJ are supplementary in HJKL, are a) ZK and ZL necessarily supplementary also? b) ZH and…

A: Given :∠H and ∠J are supplementary…

Q: Given that A = ax + Q ay + az and B = Q ax + ay + az, if A and B are normal to each other, Q is -0.5…

A:

Q: 2. Show that p q is congruent to (p - 4)A .

A:

Q: 9. If MZVST = (5x + 23)° and MZVUT = (8x – 49)°, find MZSVT. %3D 8メームニラメ23 = 190 20°

A:

Q: For what a is ||ai - 3j + k||=16

A: Topic - vectors

Q: 11.32 question attached. Thank you for answering my question!

A: It is given that X and Y are independent normal random variables.The required probability is:

Q: Let z-2 z-2 n st pC& >0.5)20.9 and y:bin (n,o.38), find or

A: Y~Binomialn, 0.38 Compute the mean and the standard deviation of Y using the formulae: Y=np…

Q: ners pu ud 6g 92 customers purchased a cat product; 21 customers purchased a fish product; 22…

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: _, then m= If ym = (1/7)5

A: we have to find the value of m

Q: b) Evaluate ſ, S s,(x² + y² + z²)dxdydz.

A: Integrate with respect to x and plug the limits.

Q: . If u . v = 0 and u * v = 0, what, if anything, can you conclude about u and v?

A: Dot Product The Dot Product is written using a central dot: a · b This means the Dot Product of a…

Q: c) Suppose that Y ~ N(2.08,0²) with P(Y > 2.2)=0.274. Find o. Andaikan bahawa Y ~ N(2.08, o²) dengan…

A: We have to find sd.

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: What is the sum of P(x) and Q(x) if P(x) = 4x2 + 6x - 9 and Q(x) = -7x- 12x +8? %3D 1. -3x2 - 18x -…

A: Given P(x) = 4x2 + 6x – 9 d(x) = -7x2 – 12x +8

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: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: On the other hand, we consider 23 as follows: -p+v9p? +4p+4p/4p+1 1+2p+ /4p+I 13 -p+V(3p + /T+4p)ʻ –…

A:

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: 9. One-tailed alternatives are phrased in terms of: 00)2 2.0 n zlaarioqy C. # or = A. # B. D. < or…

A: According to one tailed test it is a test in which the critical area of the given distribution is…

Q: 53. Suppose that a + 0. (a) If a · b = a·c, does it follow that b (b) If a X b = a X c, does it…

A: Given a, b, c are three vectors and a ≠ 0.

Q: If X is uniform on [-2,2] then p(x <0) = 1 1 2

A: X is uniform on [-2,2]   a = -2,   b= 2

Q: 3 it is kno ity P(A U

A:

Q: If mZV ST = 5x+23 and MZVUT = 8x-49. finid m/SVT. %3D 20

A: Given a parallelogram STUV. Also some angles are given. We need to find m∠SVT. Let's start.

Q: Show that A ∩ B = A ∩ C need not imply B = C.

A: Let, A= {1,2,3} , B= {2,3,4} and C= {2,3,5}

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: rk together then we will succeed." tatement: Contrapositive:

A: In this question, the concept of Predicate Logic is applied. Predicate Logic The study of Predicate…

Q: 3 13 4)2 =V81, state true or false. 4 Compare the following with , or = %3D 25 Answer: m/2

A: Given:  (1) 13 - (√4)2 = √81 (2)  √(5/2) ?  3/2

Q: In a study of pain relievers, 50 people were given product A, and 33 experienced relief. In the same…

A: According to the given information in this question We need to fill in the blanks

Q: (a) Ha: B1 0, with n = 26 andt=1.91 <p< 1 (b) Ha: B1 # 0, with n = 12, b1 = 0.16, and sp1 = 0.06 %3D…

A:

Q: Given R = Z₁₂, M = {0, 4,8], then R/M is

A: We know the definition of quotient ring ,  R/M = a + M / a ∈ R We have given that , R = ℤ12  and  M…

Q: 1. m∠ADC=3x+10 and m⏞BC=2X-30,what is m⏞AC 2. m∠BDC=3(x-5) and m⏞BC=x+25,what is m∠A 3. m∠A= 1/2…

A:

Q: If dfB = 3 and dfT = 29 and Fobt = 3.15, what would you conclude using a = 0.05?

A: From the given information,DfB = 3DfT = 29Fobt = 3.15

Q: IF I bas tee ditribuctfion Mo 7) aod Y has disbibutim K eo ohat B tee dotributim' of 6) deter ne tee…

A: Given  Z~ N(0,1) and Y~ chisquare with 4 degree of freedom Find the distribution of U (a) U = 3Z…

Q: 3). Show that 1 1+p 2 3+2p 1+ 3p+ 2q = 1 3 6+3p 1+ 6p+ 3q 1+p+q

A: