Answered: 1. Suppose U and V are mutually…

Math

Probability

1. Suppose U and V are mutually exclusive events with P(U) = 0.45; P(V) = 0.37. Find: P(U and V) = P(U|V) = P(U or V) =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Let A and C be two independent events such that P(A) 0.2 and P(C) 0.3 P(ĀNC) = 0.24 None of other…

A: Given that A and C be two independent events such that P(A) = 0.2 and P(C) = 0.3 . Than we have to…

Q: Let A, B be two mutually exclusive events such that AUB = 2, p(A) = 4p(B). Find p(B - A) Select one:…

Q: Suppose that A and B are two events for which P(A)=0.26, P(B)=0.76, and P(B|A)=0.51. Find each of…

Q: Let X and Y be two events such that P(X)=0.5,P(Y)=m, and P(X∪Y)=0.8. Find the value of m for which X…

Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given: The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: If X and Y are independent events with P(X) = 0.1 and P(Y) = 0.4, then P(X n Y) is:…

A: X and Y are independent eventsP(X)=0.1P(Y)=0.4

Q: 10. P(A) = 0.5 and P(A + B) = 0.7, find P(B) if – %3D (i) A and B are independent events; (đi) A and…

Q: The number of rescue calls received by a rescue squad in a city follows a Pois- son distribution…

A: Given: The number of rescue calls received by the rescue squad in a city follows a position…

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy. 2) Given…

Q: Let A and B be independent events with P(A) = P(An B) = P(AUB) = 1 ·|6 1 and P(B) = Find P(An B) and…

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

Q: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B). P(A and B) = X 5

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

A: We have given that A and B are independent events.

Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: BAO REALT DORI

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…

Q: 1 Let A and B be independent events with P(A) = P(An B) = P(A U B) = and P(B) = 13. Find P(An B) and…

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

Q: Let A and B be two events such that P (A) = 0.46 and P (B) = 0.07 (a) Determine P (A ∪ B), given…

A: Given: A and B be two events such that P (A) = 0.46 P (B) = 0.07

Q: E, F are independent events. P(E) = 0.2, P(F) = 0.3. Find P(E ∪ F).

A: From the provided information, P (E) = 0.2 P (F) = 0.3 The events are independent.

Q: 8. Let A, B and C be three events such that P(BOC) > 0. Prove or disprove each of the following…

A: a) P(An BC) = P(A|BC)P(BC) is actually true. This can be proven using the conditional probability…

Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =

Q: Let A and B be two independent events with P(A) > P(B), P(AUB) = .626, and P(An B) = .144, determine…

Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23 and PY ∩ X = 310

Q: If x and y are two independent random variables, show that +y:x-y={:+}-{:*+), where r+y:x-y denotes…

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)?

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)?

A: Given data, P(E)=0.8 P(F|E)=0.5 P(E and F)=?

Q: Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?,…

A: P(A) = 0.55P(B|A) = 0.36P(B|A') = 0.84

Q: Suppose Q and R are independent events. P(Q) = 0.25 and P(Q and R) = 0.1. Find P(R):

A: Given that Q and R are independent events. P(Q) = 0.25 and P(Q and R) = 0.1

Question

1. Suppose U and V are mutually exclusive events with P(U) = 0.45; P(V) = 0.37. Find:

P(U and V) =
P(U|V) =
P(U or V) =

Video Video

Expert Solution

Step 1

It is given that

P(U) = 0.45

P(V) = 0.37

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

let A and B be two independent events if P(A)=.74 and P(B)=.23 what is P(A|B)
b. Use the rewritten rule to find P(Z) if P(Y OR Z) = 0.71 and P(Y) = 0.42. 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following statement MUST be false: P(H|G) = 0.4. b. Find P(H OR G). c. Are G and H independent or dependent events? Explain in a complete sentence. This OpenStax book is available for free at http://cnx.org/content/col11562/1.18
For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are independent events? (2) What is Pr[B]Pr[B] if A and B are disjoint events?
Suppose P and Q are two independent events with P(P) = 0.23, P(P and Q)= 0.18 Calculate P(Q)
(a) P(E) = 0.8, P(F) = 0.5. Suppose E and F are indepdendent.Compute P(E or F) and P(E and F).(b) Suppose that E and F are two events, and P(E) = 0.9 and P(F|E) = 0.3.Compute P(E and F).
Q and R are independent events. P(Q) =0.8 and P(Q and R)=0.6 Find P(R). P(R)=
9. E and F are two events such that P(E) = 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).
Suppose that A and B are independent events such thatP(A)3D0.10 and P (B) 0.60. Find P (A N B) and P (A U B). (If necessary, consult a list of formulas.) (a) P(4 n B) = 0 (b) P(4 U B) = ]
Suppose that events E and F are independent with P(E) = 0.5 and P(F)=0.9 What is P(E and F)