1) Show: P(E) < P(F) 2) Show: P(E) is a subset of P(F) If E, F, G, are sequence of events and P(EG) ≤ P(FG) :

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: (ii) for every singleton set A, m* (A) = 0.

A:

Q: The expression of the statemer All dogs (D) have fleas (F) using quantifi ers is

A: D(x) be x is a dog F(x) be x has fleas

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: (a) Show that if n € N, then n+1 In dx. I

A:

Q: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die…

A: Given information: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will…

Q: Let x={1,2,3,4} and y={1,2,3,4,5,6,7,8,9,10}   and "f" from X to Y is given by…

A:

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: Find a Big-O estimate of (2n+n2)(n3+3n)

A: Given the given expression is 2n+n2n3+3n. Big-O notation: the fn is Ogn for positive constant C and…

Q: To show that the general factorial function: a+ ***** (a)mn = M -~-(-). (+¹)-(+--¹). m here m is a…

A:

Q: Prove that If P(A) > P(B), then P(A/B) > P(BIA)

A: The conditional probability is defined as P(A | B) = P(A and B)/P(B),  P(B | A) = P(A and B)/P(A)

Q: P(n, r) C(n, r) None of these n! (n - r)! Or! ||

A:

Q: (d) Show that for all integers n > 1 S(n, 1) = 1 = S(n,n), then, using the above relation (or…

A: Given: n≥1 To find Sn,1=1=Sn,n and show that S4,2=7

Q: An operation * is defined on the set R by x * y = x +y+ 6 where x, y are elements of R. What is…

A:

Q: let A, B events h know P(AAB) and P(A^c ∩ B^c) determine if this information is sufficient to…

A:

Q: (b) Let X = {r € R: -1 <1<0or 0 <1< 1} with the usual metric.Then X is disconnected.

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: P(H), P(E\H) Р (G) Р(E]G) P(H|E) Show that P(G|E)

A:

Q: Ang, Ben, and jasmine each have 5 blocks, colored red, blue, yellow, white, and green; and there are…

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

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: Assume that the classes are successful but the conclusion is reached that the classes might not be…

A:

Q: Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A × B. (b) Compute P(A × B).

A:

Q: 10 Prove that P(E U FU G) = P(E) P(F) + P(G) - P(E FG) P(EF€G) - P(EFG) - 2P(EFG)

A: Addition Rule of three events:For any three events E, F, and G, the addition rule states that:

Q: Suppose A = {2, 5, 7, 9, 13, 25, 26}. (a) Find n(A).

A:

Q: Find n(A) for the set A. A = {1, 1, 2, 2, ..., 5, 5} O n(A) = 10 O n(A) = 6 O n(A) = 5 O n(A)=3

A: