(a) Compute P({a}). (b) Compute P({b}). (c) Compute P({a,b}).

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given the vectors v=i−4j+2kw=3i+2j+k

Q: Describe geometrically (line, plane, or all of R 3) all linear combinations of (a) [ 1/2/3 ] and […

A: We know that a set of vectors u1, u2, ……, un is said to be linearly independent if the equation…

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: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Given v=3i+j+3k, w=i-k

Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: Quick Start Company makes 12-volt car batteries. After many years of product testing, the company…

A: Let "X" be the average life of a Quick start battery in months. Use excel formula…

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

A:

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: Determine the area under the standard normal curve that lies between (a) Z-0.44 and Z-0.44, (b)…

A: a)GivenThe area that lies between z=-0.44 and z=0.44 is

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

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

A:

Q: Find P(P(P(empty set))) , where P(A) denotes the power set of A.

A: Given  A = Empty set  To find : P(P(P(empty set)))

Q: еВook Consider the following time series data: Month 1 2 3 4 5 7 Value 24 15 21 13 19 21 16

A: b)  3 month moving average : for 3 month moving average : MSE  = 70/4 = 17.5 Forecast for month 8…

Q: Let r(t) = (a) Find 7 (t). (b) Find Ñ (t). (c) Find K (t)

A:

Q: what does P(A∩B) = if P(A)=0.63, P(B)=0.47, P(B∩A¯¯¯¯)=0.27

A:

Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

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: Find the term of (a – 2b)3 that has b in it. |

A:

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A:

Q: +(x-1)+(x-1)+qy-2)+ Expanding Equation (3) and simplifying, we obtain the following equation…

A: Equation (3):We have to prove equation (4) which is:Formula used:here, , and .Therefore,

Q: A = p + prt for r ( banking)

A: