Suppose that P(A) = 0.3 and P(B) = 0.2 .(a) What does P(A u B) equal if 1. A and B are mutually exclusive? P(A u B)= 2. A and B are independent? P(A u B)= (b) What does P(A | B) equal if 1. A and B are mutually exclusive? P(A | B)= 2. A and B are independent? P(A | B)=

Q: 2. Compute the expression. dx [√³² √² +F³ dr] √1+r³ 0

A:

Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: Find a counterexample to show that x > is a false statement. 3z a. Choose a =1 b. Choose a = 6 O c.…

A: Here the given statement is, x>13x

Q: Let A= {5, 6, 7, 8}, Let R: A-> A and S: A-> A. Let R= {(5, 6) (6, 8) (7, 6) (8, 7)} and S= {(5, 5)…

A:

Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: Given the following contingency table, conduct a test for independence at the 10% significance…

A: There are two categorical variables which are Variable A and Variable B. We have to test whether the…

Q: In AFGH, FG || IJ. Given that HF=27, HI=12, and HJ= 20, find HG. G J. H

A:

Q: Which of the following are true if X : Bin (6, .3)? A. E(X) = 6.3 B. E(X) = 1.8 C. E(X) = 5.7 D.…

A: Given that, X follows Binomial (6, 0.3)

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

A:

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: 10. Let a = (1,-1,2), b = (2,0,−1), and = (3,-2,0). Evaluate or explain why the expression is…

A: The vectors:

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A:

Q: 4. If m25 = 5x, m26= 4x + 6, m27 = 6x and m28 = 9 find the value of x. X V 5 W

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Q: What value of x would prove a||b? a. x = 6.9 12x+3 b. x = 6 C. x = 12 d. x = 4.2 21x-51,

A: The asked question belongs to the topic of lines and angles where two parallel lines are intersected…

Q: If u = (-3.9, -0.8), (0.2, 2.8), and w = (1.8, -4.9), find the following. ū. (v + w) V.V 2 (u. *) =[…

A:

Q: 8 . 2 | f(x)dx 38 what is Given that f(v)dv? 11' 2 8.

A: Here we have to find the value of integral. The solution is following.

Q: 6. If -2 determine all values of x and y for which A= A.

A:

Q: Find u x v, v x u, and v x v.

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: find u ·v.

A:

Q: Compute the indicated quantity. P(A) = 0.6, P(B) = 0.4. A and B are independent. Find P(A ∩ B).

A: If A and B are independent, then P(AnB) = P(A)P(B)