3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for all a. b.c E R. %3D ii. a

Q: The following are the number of hours traveled by a senior high school student to go to school every…

A:

Q: The covariance between x and y is O 1.5 1.25 O 0.75 0.25

A: According to the given information, we have X Y 1 2 1 2 3 4 5 3 5 4

Q: Given n(S)=31n(S)=31, n(T)=18n(T)=18, and n(S∪T)=45n(S∪T)=45, determine n(S∩T)n(S∩T).

A:

Q: Given that P(A/B) = 0.5, P(A)=0.4, and P(B) = 0.44 , then P(A/B) is equal to ?

A: Given : P(A|B) = 0.5 P(A) = 0.4 P(B) = 0.44

Q: If w = e-(r*+s"), r = uv, s = u + 2v, find -

A:

Q: If "C, = "C,, then n is equal to 4.

A:

Q: Show that the following four conditions are equivalent :(i) A ⊂ B…

A:

Q: Match the values of r to the scatterplots. Scatterplot 1, r= Scatterplot 2, r= Scatterplot 3, r=…

A:

Q: Given that n(S) = 44, n(A) = 15, n(ANB) = 7, and n(A u B) = 24, then n(B) = %3D %3D %3D

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: Is the following true or false? Z∩N=Z

A: Z is the set of all integers, i.e.  Z={ ..., -3, -2, -1, 0, 1, 2, 3, ...} And N is the set of all…

Q: Given that, for some a, b, c, d, e, ƒ, g, h, i, k € R, la b d e S = 3, e 19 h i

A:

Q: If m21 = m22 , which of the following statements is true? m O A A k|li B. n|| m C. E|| k D. ||m

A: Given,

Q: For what values of c is ||c(1, 2, 3)|| = 1?

A:

Q: Given that P(A|B) =0.4, P(A) = 0.5, and P(B)=0.35, then P(B|A) is equal to: a. 0.28 b. 0.5 c. 0.14…

A: Given data,P(A|B)=0.40P(A)=0.5P(B)=0.35P(B|A)=?

Q: called the Rh antigen, is important in human reproduction, and again may or may not be present in an…

A:

Q: Conclude the below? If P > α, we fail to reject H0.

A: the p-value is very important for making the decision based on the hypothesis. It helps the…

Q: Suppose 60 percent of the customers at pizza palooza order a square pizza, 70 percent order a soft…

A: Two events A and B are said to be independent, if P(A and B) = P(A)P(B).

Q: ..... .... A company announed that there are jobs provided that two women take two of them, so it…

A:

Q: 27. Given that - what is A. = < B. C. D. s[, ; equal to? n E.

A:

Q: B .a .b .c .d m/N ONIM

A:

Q: If p (E1) = 0.3, p (E2) = 0.4 p(E1/E2)=0.5 so p(E1 cross E2)= 0.2 0.15 0.12 0.7

A: The conditional probability PE1/E2=PE1×E2PE2 substitute the values…

Q: Given that P (A) = 0.4, P(B) = 0.3, and P(A ∩ B) = 0.1, 1. P(A∪B) = 2. P(A|B) = 3. P(B|A) =

A: Given: P(A) = 0.4 P (B) = 0.3 P(A ∩ B) = 0.1

Q: consider the following scenario: let P(C)=0.4 let P(D)=0.5 let(C\D)=0.6 find P(C and D)

A: Given information: Probability of an event C, PC=0.4 Probability of an event D, PD=0.5 Probability…

Q: After that, X independent fair coins are tossed and the number of heads obtained is denoted by Y.…

A: A fair die is tossed and its outcome is denoted by X,   X~116 216 316 416 516 616.   For k = 1, . .…

Q: If P(X > a) = –, then a is equal to: 16'

A: Here given pdf from which retrieve probability

Q: Ho: 2.72 children H1: 2.72 children Calculate the test statistio, to

A: First we need to compute the Mean and Standard deviation of the grouped data provided to us : X…

Q: Hint. You want to show |a| – |6| < |a – b| and -(lal – |b|) < la – bl.

A: Given: a and b are real numbers. To prove: a) a+b≤a+b b) a-b≤a-b

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

A:

Q: Consider, C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N} What is C ∪ D?

A:

Q: 2 ,2 + 2

A:

Q: I, Fund warginal X warginal h(x) alistribution for 2. Fud conditimal pf Ty) Estmate 4. Estuale…

A:

Q: Which of the following options are correct?

A: Given information: The information about LDA is given.

Q: Given the following observations, determine an 3 ^ 1 5 66 7 8 8

A: Given,         3, 4, 4, 5, 6, 6, 7, 8, 8, 9

Q: If all we were told about the diagram below was ADG, then what inferences could you make?

A: The figure given in the problem represents the line segment ADG¯. There is a line segment connecting…

Q: P(R2∩C1)=?

A: The probability distribution of R and C is given and we have to compute the probability that R2 and…

Q: at a local school, 90% of the students took the test A and 15% of the students took both test A and…

A: Given: P(A and B)=0.15P(A)=0.90

Q: If S., t, = \n(n+1)(n + 2)

A:

Q: e tankx - Scek'sx ethix-= csch?

A:

Q: AS B iff (B n C) U A = B n (C U A)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: If P (A|B) = },P (A|B®) = }, ,and P (B) = then P (A) is equal to

A:

Q: If with n(F)=25, n(B)=12, n(T)=30, we have n(F∩T)=6, n(T∩B)=4, n(F∩B)=3, and there are 2 members who…

A: It is given that the number of members in team F ‘n(F)’ is 25.

Q: Suppose P(A) = 5 and P(B) = 3 and A and B are independent. What is P(A and B)?

A: It is given that P(A)=0.5 and P(B)=0.3.

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: Consider the following scenario: Let P(C) = 0.4 Let P(D) = 0.5 If C and D are independent, find…

A: (1) It is clear that events C and D are independent. The value of PC∩D is, PC∩D=PCPD=0.4×0.5=0.2…

Q: 5. Are the following implications correct? (A = B) = (A VC= B v C) (A = B ^ C) = (A = C) (A + B) =…

A: HERE , WE CAN USE TRUTH TABLE TO POROVE THE GIVEN IMPLICATION

Q: If F =, and S: r=, Osusa/2,0<v<2. Then S[ F•nd4 is equal

A: This is the problem of surface integral use method to solve

Q: The "(Subject Matter )" that best describe this Gauguin painting is? O Folklore O Imaginative O…

A: Let's find.

Q: GIVEN S(x, y) = {0. , 0<r<2, 2<y<4, elsewhere, 10,

A:

Q: If the ratio of male teachers to female teacher at CSA is 4 to 7, which of these shows possible…

A: We will find out the required value.