If A and B are mutually exclusive, and if P(A) = 0.4 and P(B) = 0.2, what is P(AUB)? P(AUB)= ***

Q: (10) + 2(11)¹ (10)8 + 3(11)²(10)7 + ... + 10(11)⁹ = k (10)⁹ then k= ?

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Q: 11/6 is the wrong answer

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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: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: (5+1) + () + (+) - (+) +.. 27

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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: 3. Find P(P (P (0))).

A: In the given question, the concept of a void set is applied. Void Set The empty set is a…

Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: When an (1) 3 2 ak+1 = -3ak +2 (k=1,2,3...), a₁ = (1) × [(2)″ +(3) (2) (3)

A: To determine the missing terms in the following.When a1=32ak+1=-3ak+2         k=1, 2, 3, ...,…

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

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Q: What is f(1)? 3- 2. 3.

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Q: A= 12- 273 2 L1 -1 1 -1 3-4.

A: Power and combination of matrices

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: How many 6-digit numbers have three even and three odd digits? (The first digit cannot be zero.)

A: It is given that a 6-digit number is to be formed which will have three even and three odd digits.…

Q: You are given these facts: p(A | B) = 5/11. p(B) = 11/16. p(A) = 4/16. What is p(AB)? 15/32 5/12…

A: According to the given information in this question We need to find the following probability

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

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Q: Does this expression P(D) = 1.4 possibly occur

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Q: What is the complement of P(A) if P(A)=0.68 P(¯¯¯AA¯)=

A: Given, P(A) = 0.68Formulas for compliments,P(Ac)=1-P(A)P(Bc)=1-P(B)P(A AND B)c=1-P(A AND B)

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: If 0 <0 < 2n and -12cos20-8 = -17, determine the values of 0

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Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

Q: Compute x3 in two ways: by computing x, and x2, and by computing P³ [1] P= x₁ = 0.1 0.2 0.9 0.8 0.19…

A: Solution: The given matrix is, P=0.10.20.90.8,x0=10. Now compute x3 in two ways:

Q: Suppose ℙ(?1|?2)=0.46 P ( E 1 | E 2 ) = 0.46 , ℙ(?2|?1)=0.92 P ( E 2 | E 1 ) = 0.92 , and…

A: When the occurrence of one event depends on another, we use conditional probability. For example, we…

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: Σ (4) -1 x = 4

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Suppose Var(X) = 4, Var(Y) = 78, and X and Y are independent. What is Var(.58X + .42Y)?

A: Answer: - Given, Var(X) = 4, Var(Y) = 78, and X and Y are independent.                What is…

Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

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Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: Sample space contains 5 red balls, 7 green balls, 10 blue balls and 2 yellow balls. a) What is the…

A: As per ourguidelines we suppose to do only first three subpartsGivensample space containsNo. of red…

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

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…