(a) Give P(An B') = 0.52,P(A) = 0.7 and P(B) = 0.2.Find P(An B).i.QUESTION 3ii.Are A and B mutually exclusive events?iii. Hence, determine whether A and B are independent events.(b) Janice obtained data about deaths involving Covid-19 based on the people whohad received vaccines. The total death cases of people who had received theSinovac vaccine are 1092 cases. Among 1328 people who had received one vaccinedose, there were death cases on 750 people who are Sinovac vaccine recipients,228 people who are AstraZeneca vaccine recipients and the rest are Pfizer vaccinerecipients. There were 71 death cases among people who received a second doseof Pfizer vaccine and 5 death cases among people who received a second dose ofAstraZeneca vaccine.i. Construct a contingency table to represent the information above.One of these death cases is chosen at random. Hence, find the probability that thepeople areii. Pfizer vaccine recipients or received both vaccine doses.iii. The Sinovac vaccine recipients knowing that he does not receive the seconddose.iv. State with a reason whether or not the events 'the deaths cases involvingpeople who had received AstraZeneca vaccine' and 'the deaths cases involvingpeople who had received both vaccine doses' are independent.

“Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Answered: (a) Give P(An B') = 0.52, P(A) = 0.7…

(a) Give P(An B') = 0.52, P(A) = 0.7 and P(B) = 0.2. i. Find P(An B). ii. Are A and B mutually exclusive events? iii. Hence, determine whether A and B are independent events.

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: A and B are two events. P(A) = 0.27, P(B) = 0.32, P(A and B) = 0.14. Calculate P(B | A')?…

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.32 P(A and B) = 0.14

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

Q: he events A and B are independent such that P(A) =0.4 and P(A UB)= 0.88. Find P(B)

A: As per bartleby guideline expert have to answer first three subpart only dear student please upload…

Q: Let A and B be events with P(A) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

Q: For two events A and B, P(A) = .4, P(B) = .2, P(A|B) = .6. a. Find P(AN B). b. Find P(B|A).

A: Given data,P(A)=0.4P(B)=0.2P(A|B)=0.6

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: If two events are independent with P(A)=D0.6 and P(B)=D0.3 then which of the following is true?

A: Question: If two events are independent with P(A) = 0.6 P(A) =0.3, then which of the following is…

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 the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

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: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

Q: Two events A and B are such that P(A) = 0.19, P(AN B)= 0.15, P(A or B ) = 0.99. Find P(A N BC).…

A: The given events and their probabilities are as follows: P(A)=0.1 PA∩B=0.15 PA∪B=0.99 Need to find…

Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

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: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6, P(A and B)=1/11.

Q: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) = 0.5. Are C and D independent?…

Q: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

Q: Two events A and B are such that P(A) =0.1, P(B)=0.4 and P(AUB)=0.3. Find the value of P(AUB). 0.2…

A: Given:PA=0.1, PB=0.4 and PA∪B=0.3 Then,PA∩B=PA+PB-PA∪B=0.1+0.4-0.3=0.2

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: (a) P(ANB) and P(AUB) (b)…

A: A and B be independent eventsP(A)=0.2P(B)=0.3

Q: U and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.49. Find: a. P(U and V) = b. P(U|V)= c.…

A: The given probabilities are PU=0.29;PV=0.49. And also events U and V are mutually exclusive events.

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

Q: Let A and B are two events. P( A' and B') = 0.35 Find P( A Or B)

A: Answer: From the given data, A and B are two events, P(A' and B') = 0.35

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: A and Bare independent events. P(A) = 0.50 and P(B) = 0.20. %3D What is P(A and B)? O A. 0 B. 0.10…

A: We have given that, A and B are two independent events with P(A)=0.50 and P(B)=0.20 Then, We will…

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.59. Find: a. P(U and V) = b. P(U|V) =…

A: Two events U and V are given.

Q: P(A) = 0.6 P(B) = 0.5 P(A|B) = 0.42 P(A) = 0.3 P(B) = 0.5 P(A|B) = 0.3 P(A) = 0.45 P(B) = 0.75 P(A…

A: Determine if events A and B are independent for given problems

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: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&B).

Q: Two events A and B are such that P(A / B) = 0.5, P(AN B)= 0.15,P(A or B ) = 0.65. Find P(AN B).…

A: From the provided information, P (A|B) = 0.5, P (A Ո B) = 0.15, P (A or B) = 0.65

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: (a) Given information

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here