If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)                   b) P(A U B)

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: Given P(A)=0.4P(A)=0.4, P(B)=0.66P(B)=0.66 andand P(A∩ B)=0.374P(A∩B)=0.374,  find the value of P(A…

A: Probability is the measurement of event occurrence. It take values positive value and does not…

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

A:

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

A:

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: Given v = (3, –7) and w = (-2, 5), find a. v• w b. w• v c. v• v d. |||

A: Given, v=3,-7 & w=-2,5 To find, a. v.w b. w.v c. v.v d. v

Q: If o = (r x a) (r x b), show that Vo =bx (r x a) +a x (r x b)

A:

Q: Find(rr) r d d/ (1₁•1₂) if x = ( 2 ₁ √ ². e²¹ ) and r₂ = (7, In (2),1).

A: Solve the following

Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

A:

Q: find: a) P(A ∩ B) b) P(A|B) c) P(B|A)

A: P(A) = 0.25, P(B) = 0.60 and P(A U B) = 0.7

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

A:

Q: Q: Find the numbers a,b,c between 2 and 18 such that: (i) their sum is 25. (ii) The number 2,a,b are…

A:

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: Given: P(A) = 0.80, P(B) = 0.34 and P(B|A) = 0.25, find: a) P(A ∩ B) b) P(A|B) c) P(A U B)

A: Given data, P(A)=0.80 P(B)=0.34 P(B|A)=0.25

Q: Given that A and B are independent with P(A ∪ B) = 0.8 and P(B c ) = 0.3, find P(A).

A:

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: A bag contains three red balls, two yellow balls, and two green balls. Suppose that we pick three…

A: let the number of red balls be denoted by R and number of yellow balls be denoted by Y. PR=0,Y=0=0…

Q: Find : a =? b) Find PMF of z= x² 4 1 4 9 a a a a a a -3 -2 -1 0 1 3 2.

A: (a) finding the value of a ∑PX=x=1

Q: Given a = (1, 2, 1) and b = (k, 1, 2) and a × b = √35. Determine the ax value(s) of k.

A:

Q: a= b || ) Find a and b such that 0-9-8 =a -3 + b3 -20 -20

A:

Q: p(a)= 0.40 and p(b) = 0.20 and p(b|a)= 0.30 find p(a|b) A) 0.15 B) 0.36 C) 0.69 D) 0.00 E) 0.18

A: We have given that p(a)= 0.40  p(b) = 0.20  p(b|a)= 0.30 p(a|b) = ?

Q: GIVEN: 2x - 3 = 7 PROVE: x = 5

A:

Q: b) h(x) = v9 – 4x

A:

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

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: Round to the fourth a) Find P(Z<-3.3)=

A: Solution-: We find, P(Z&lt;-3.3)=?

Q: P(A ∪ B) = 0.9, P(B) = 0.7, P(A ∩ B) = 0.5. Find P(A).

A: A detailed solution is given below