1. Given that P(A) =.P(B) = and P(AOB) = find P(AUB)

Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

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: If P(- b &lt; z &lt; b) = 0.4726, find b. b=

A:

Q: y a) (f + g)(2) = 10 9F 8 7 b) (f – g)(4) = 6. c) (2) (6) : %D 7 8. 9 10 d) f(g(8)) =

A:

Q: Assume P(Z>b)=0.22 for some number b. Without finding the value of b, what is P(Z<-b)?

A: From the provided information,P (Z&gt;b) = 0.22

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A: Introduction: It is required to find Pr (A).

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

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: P(1.15 < Z < 2.77) =

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

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 P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

Q: 6. If P(A) = 23, find P(Ā).

A: Given that. P(A)=0.23

Q: 3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

A:

Q: What is the answer to this?

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

Q: If the P-value is less than the a value, which one is correct? Reject Ho or fail to reject Ho Ans:

A: if the P-value is less than the α value ,than

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: 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6,

A: P(A)=0.2, P(A and B)=0.1 annd P(A or B)=0.6

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Q: Assume that P ( A ) = P ( B ). Show that A = B

A: If possible let A≠B and there is an element x ∈ A and x ∉ B Then {x} ∈ P(A) , but {x} ∉ P(B)