If e i k and k im, then k 3 m

Q: olet S= [-2,2], then find M*(S)? @let E= {3}, then findl M°(E)?

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Q: E (ax, + by, + c) =

A: Let (x1, x2, x3, ..., xn) and (y1, y2, y3,..., yn) be finite sequence of numbers of the same length,…

Q: 5. Find Pr(A U B). .5

A: 5. Pr(AUB) = 0.17 + 0.06 + 0.05 + 0.04 + 0.08 + 0.14 So, Pr(AUB) = 0.54

Q: "/. (e) Evaluate n (c) Evaluate "m(i )

A: We have given

Q: Glven P(E) = 0.50, P(F) = 0.35 , and PE and F) = 0.14, what is P(EorF)

A: Given P(E) = 0.50 P(F) = 0.35 P(E and F) = 0.14

Q: 14. Given P(E) = 0.15, P(F) = 0.44, and P(E and F) = 0.01, what is P(E or F)?

A: Given,P(E)=0.15P(F)=0.44P(E and F)=0.01

Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

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Q: 8. If e || f, m27= 5x, and m28 =x+ 22, e then a. m/7= b. m29 = 7 f 6.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: P(B) - . If P ( A ) = ,P (AOB) 3 B ) 15 Find i) P (AUB) ii) P( AC OB ) iii) P(AN Bc )

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Q: If P(A and B) P(A) . P(B) then A and E %3D are

A: The probability of A and B means that the probability of two events at the same time

Q: If Z-N(0,1), find the value of k for P(Z > k) = 0.15 Select one: • a. 0.845 O b. 1.036 • c. 0.745 O…

A: Here, Z~N(0,1). Obtain the value of k: PZ>k=0.151-PZ≤k=0.15PZ≤k=1-0.15k-μσ=ϕ-10.85k-01=1.036Using…

Q: 9. Which of the following is equivalent to E-1(3i + 2)? [5(6)] 의 + 2(5) c. 3|2의 + 2(4) а. 3 b. 3°|+…

A: (a) option is the correct answer.

Q: -t//25 Haw/ o Find t if =e AnsA 296.4

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Q: If A c B with a e A, then which of the following is true? A. AnB = B B. AUB = A С. ФСА D. All the…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Suppose m min{2x for x e [3, 4]}, then the value of m is Answer:

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Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: If x-Gamm(a,B) and if a =1, then Gamm(1.B)-

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Q: x? – 25 c. For all number x, = x +5. X- 5 d. For all number x, x >x. e. For all number x, Vx +36…

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Q: M [e-ax; p] = Гр) Re (p) > 0

A: It is a simple, formula based proof by using laplace. Mf(x); s= ∫0∞xs-1f(x) dxM[e-x; p] =…

Q: d) Let N = {1, 2, 3, ...} and for each n E N, let An = {n, 2n, 3n, ...}. Find A3 n A5

A: Introduction: The symbol "∩" can be used to represent the intersection of sets. According to the…

Q: 5. If E(X)= 3 for some r.v., then E(2X -1) is А. 5 В. 4 С. 6 D. 3

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Q: 3 0 3 E = 5 5 and D = 3-2 4 -2 Let H ED. Find H.

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Q: A) If X = {1,2,3, 4, ...10}, fA = 0101010101 and B = 1,2,4,67,9. Find |A e B| [1 and C = | 0 1 0. B)…

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Q: 5) If C = A + B , which one of the following is possible (indicate all that apply) a) |C| | A | + |…

A: given that C¯=A¯+B¯

Q: (7) Let X × P(1) and E(-x)=E(5– 5x), then 2 is. (a) 25/26 (b) 26/25 (c) 12/26 (d) 26 (e) None of…

A: Provided information is ; X ~ P(λ) we know that ; Mean of Poisson distribution is given by ; E(X) =…

Q: 3. if a< -1 S(x) = if -1sa<3 if 3 Sa

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Q: E. P (Orange and odd)= F. P (Red or odd)= G. Pyou draw one Red and a second Red card without…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If X Geometric(0.8) then E(X) Select one: О а. 1.67 O b. 1.43 О с. 1.25 O d. 1.11

A: Given : X ∼ Geometric (0.8) X ∼ G(p)  X represents a Geometric distribution

Q: If E(X)= 5 and E(X2)= 30,the value of E(1/X) will be; Select one: a. 1/30 O b. None c. 1/5 O d. 5/1

A: Given  E(X)= 5 E(X2)=30 We want to find the value E(1/X)= ?

Q: The value of k so that u = (k, -1, 1) and v = (1, 1) are equal is: a)  0 b)  1 c)  2 d)  -2 e)…

A: To solve the following problem

Q: Given P(E) = 0.29, P(F) = 0.11, and P(E and F) = 0.11, what is P(E or F)?   Your Answer:

A: GivenP(E)=0.29P(F)=0.11P(E∩F)=0.11

Q: 11 If P(A) = , P(B) 3 and P(A U B) = 4 find (i) P(A/B), (ii) P(exactly one of A and B occurs). 12…

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Q: If E(x) = -1 and E(y) = 7, then E(y – x) = -8 O 8 O -6

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Given C'(-5, –2), D(7,–5), E(5,3), and F(6, y). Find y such that C'D l EF. ..... Answer: y = Submit…

A: We have to find y

Q: if P(E and F)= 0.04 P(E|F)= 0.16 P(F|E)= 0.2 then P(E) is

A: Given, P(E and F)= 0.04 and P(F|E)= 0.2

Q: Given: EF || GO|| HM || JK, FG = 2, GH = 8, HJ = 5, EM = 6. F J Find: EO and EK. K

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Q: 1. В 3 S 2. ~K 3. (B = S) Ɔ (~R v K) What rule, if any, could you immediately apply to two o

A: Introduction: Some rules of inference: Modus Ponens: a⊃ba∴b Modus Tollen: a⊃b~b∴~a

Q: You are given P[A U B] = 0.7 and P[A U B'] = 0.9. Calculate P[A]. %3D

A: Hello. Since you have asked multiple questions, we will solve the first question for you. If you…

Q: G and H are mutually exclusive. given, P(G)=0.5 and P(H)=0.3 Find P(H or G)?

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Q: 7. If P(A) 0.30, P(B) = 0.36, and P(ANB)=D0.12, find a) P(AUB} b) P(AnB) c) P(A|B) d) P(A|AUB)

A: As per our guidelines we can solve first three subpart of question and rest can be reposted.…

Q: Given: E(11, -10), F(-4, -1) And: EF V170 Given: P(-5, -4), Q(7, -8) And PQ

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Q: 2 Q2) If A = ( , 3 and B = 1 2 ), what value(s) of k that will -3 k. make AB = BA?

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Q: if r=6 when s=1/3, find r when s=1

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Q: 0. If (a, b,c, d, e, f.g,h, i) = (a)(b) – (c)(d) + (ef )'(gh)? which cannot be a value of ?

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Q: If a, b e Z, then a? – 4b – 3 + 0 -

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Q: (2n)! Let a, = then n!n" 1 a) an | e 2 b) а, > e 4 c) an e d) a, > о

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Q: If e i k and k im, then 1 2 k m

A: Parallel line problem

Q: E (1 – p)?k=1 = Ž (1 – p)?k 1- P k=1 k=1

A: We prove above statement

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.