Suppose E and F are events such that n(E)=16, n(F) = 15, and n(EnF) = 4. a) Find P(EIF). b) Find P(FIE). a) P(EIF) = b) P(FIE) = (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.)

Q: If Cov (WFC, WFC)=0.0064, WHAT IS THE Var (WFC) ?

A: Given that Cov (WFC, WFC)=0.0064, WHAT IS THE Var (WFC) ?

Q: (3) If "P =12 "P, , the n is equal to (а) 9 (b) 7 (c) 6 (d) 12 (е) 10 (f) None of these

A: From the given information:P4n=12 P2n⇒nn-1n-2n-3n-4!n-4!=12…

Q: Compute the quantity, w, using w = w. w - 7 1 W = w•w (Type integers or simplified fractions.)

A:

Q: a) What is P(ANB)? b) What is P(BA)? Suppose P(A/B)-0.2, P(B)-0.8, and P(A) - 0.64.

A: P(A|B) = 0.2P(B) = 0.8P(A) = 0.64

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: The order of permutation (13)(27)(8)(1237)(648)(5) is 04 O 12 18 O 2 07 O None of them

A:

Q: When P(w) = 9w² + lw + 3, evaluate P( – 5) P( – 5) =

A: We have p(w), so to find p(—5) put w=—5 in the expression of p(w)

Q: In a leap year there are 29 days in February instead of 28 days. That means there are 366 days in a…

A: Given in a Leap year there are 29 days in February instead of 28 days and the total days in a leap…

Q: 100 Σ (3* + 2k - 1) k=1

A: ∑k=11003k+2k-1

Q: is the permutation (245)(134) odd or even?

A: The objective of this question is to determine whether the given permutation is odd or even. In the…

Q: The Social Security Administration documented the marriage year of various couples, along with the…

A: Data is given for 247 married couples on the basis of marriage year and no. of children they have .…

Q: Evaluate the expressions 15! a.) 6! x 5! b.) P(8,4) = %3D c.) C(12,7) = ||

A:

Q: Determine the probability of having 0 girls and 3 boys in a 3-child family assuming boys and girls…

A: Given data: To detrmine the probability of having 0-girls and 3-boys i a 3-child family tp assume…

Q: If P(A)=0.4, P (BA)=0.35, P (AUB) = 0.69, then P(B) 0.14 0.43 0.75 O 0.59

A: Given that  P(A)=0.4  , P(B|A)=0.35 and P(A U B)=0.69

Q: QI Let x be anon- empty, Show that whetharn (Pcx), n) sa grouPor not ?

A: Explanation: Let X = 2, 3 Then PX = ∅, 2, 3, 2,3 For  A∈P(X) and B∈P(X),  A∩B ∈ P(X) That is, P(X)…

Q: Suppose that P(A) = 0.1, P(B) = 0.8 and P(A U B) = 0.3, then P(AnB) = 0.76 O 0.6 O 0.7 None of these

A:

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 7, b) a sum not…

A:

Q: When the expression given below is opened according to the binomial theorem, what is the value of…

A: Introduction: The binomial expansion of the term (a + b)n for n ≥ 0 is given as follows:

Q: Evaluate the following: 1. 10! 2. 5!3! 3. (10-2 10! 4. 6! 5. 7! +4!

A: Given1.10!

Q: I n the game of poker played with an ordinary deck of 52 cards various five-card holdings are given…

A: Let me explain what each factor in the expression represents in terms of selections from the deck of…

Q: 2. Show that 27 | (5²² – 4).

A:

Q: If P(A) = 0.009, what is the value of P(A)? P(A) = (Type an integer or a decimal. Do not round.)

A: Given, p(A) = 0.009 We will use complement probability of A.

Q: Ifn(A)=5,n(B)=11and? ?∩? =3,whatis? ?∪? ?

A:

Q: Evaluate: C(7,5)*P(9,2) / C(16,3)

A:

Q: If P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then P(B) O a. 0.10 O b. 0.50 OC. 0.26…

A:

Q: If P(A) = 0.2, P(B) = 0.3, and P(A or B) = 0.4 find P(A and B). 1) 0.06 2) 0.08 3) 0.1 4) 0.12 5)…

A:

Q: Determine the number of arrangements of 3 or 4 toys taken from a basket of 10 different toys? O 10…

A:

Q: 4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: Given: B = (xI20 < x < 50 and x is divisible by 7 }, find n(B). a. 30 b. 20 c. 10 d. 5

A:

Q: 5. Write these sets in set-builder notation, where U = {1, 2, . . . , 20}. (a) {11, 12, 13, 14} %3D…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Q: If P(AUB)=D0.70 P(AUB)= 0.90 then P(A)= O 0.10 ONone 0.90 0.60 0.40

A: GivenP(A∪B)=0.70P(A∪Bc)=0.90

Q: A2 What is the possibility of getting a full house in Yahtzee? I got 6 * (1/6)^3 * 5 * (1/5)^2 as…

A: The game of Yahtzee is played in the given situation.Yahtzee is a game in which five dice are rolled…

Q: If a, = n(a, -1) and a, = 1, what is the value of (1) 5 (3) 120 (2) 20 (4) 720

A: Here we have,

Q: If n∈Z, then 4|n2 or 4|(n2−1).

A: First, we need to understand the problem. The question is asking whether for any integer n, either…

Q: Permutations are lager than combination using the same subsets because combination have _____ _____…

A: Suppose we need to choose r things out of n things available The formula for permutation would be =…

Q: |1! 2! 3! Value of 2! 3! 4! is: 3! 4! 5! (a) 2 (b) 6 (c) 24 (d) 120

A:

Q: What is the sum of 1/4 + 2/4 + 3/4 + 1 + 1 1/4 +… + 9 1/4 + 9 2/4 + 9 3/4 + 10?

A:

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: a (a) In %3D 6-4c (b) In vb a. In(a*b*)…

A: Give ln a =2 , ln b = 3, ln c = 5

Q: is the permutation (245)(134) odd or even?

A: A permutation is even if any one of the two following conditions hold:(1): The permutation can be…

Q: What is the value of (8;4) + (8;5) + (9;6) a) (10;6) b) (10;7) c) (10 ;5) d) (9;5)

A: Explanation of the solution is given below....