How to calculate this question, could you please draw a venn diagram to help me comprehend?...

Question

Question

1. Consider four events: A, B, C and D. Suppose B and C are independent, A N B = 4, and D = C. It is given that PC) = 1/2, PB

How to calculate this question, could you please draw a venn diagram to help me comprehend? Thanks!

math Statistics-And-Probability

Answer 1

Answer #1

PBID = 1/6 P[BC]=1/6 =P[B] - P[B C] = 1/6 Since B C are independent hence, P[ B Therefore, P[B] – P[B]P[C] = C] = P[B] * PC =

P[C[4] => PLANC] 1 P[A] = = + P[ANC] - * P[4]

PICNĀNE) P[C] - P[CN A] – Picn [Since (ANB) = 0 ] + PļC) – 5P14) – PIC|P|B) = } - (2214+ 3) = 1 2 4 2 =P[A] = 3 - 15 = 5

сув ДА (ANB) = 0

P[DNAN B] =P[D] - P[DO A] – PIDI B] = 2 - plēNA] - = = = - (P[A] – P(ANC) - 1 لا انا تاني تاني ما |ال

Answer 2

Similar Homework Help Questions

(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A,...

(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A, B, and C are events such that PA-PB0.3, PC 0.55, PIAnB For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. Hint: Draw the Venn Diagram. You may then want to identify the probabilities...
4) Given the following equations, draw the simple Venn Diagram to match the equation. a) There...

4) Given the following equations, draw the simple Venn Diagram to match the equation. a) There are two independent events: A and B. Draw ?′ b) There are three events: A, B and C. A = { 1, 2, 3, 4 } B = { 2, 4, 6, 8 } C = { 10, 12 } Draw ( ? ∩? )∪? c) There are three events: A, B and C – same as in part b. Draw ( ? ∪?...
2.) In the Venn diagram shown is given the probabilities for An Bº, An B, and...

2.) In the Venn diagram shown is given the probabilities for An Bº, An B, and An BC Construct a completed contingency table for these events and determine the following: А B a.) Table: 33% 17% @ 15% b.) P(AUB) = c.) P(AB) = d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer.

Due Date Name Probability Extra Credit 1) CAFFEINE IN DIET: Draw a Venn Diagram to represent...

Due Date Name Probability Extra Credit 1) CAFFEINE IN DIET: Draw a Venn Diagram to represent the following: 55% of adults drink coffee 25% of adults drink tea 45% of adults drink cola 15% drink both coffee and tea 5% drink all three beverages 25% drink coffee and cola 5% drink only tea a) Draw a Venn Diagram to represent this information. b) Are the first three events disjoint? Are they independent? c) What percent drink only cola? d) What...
How would you draw a Venn diagram with the following: Pr((A u B) n C) (given...

How would you draw a Venn diagram with the following: Pr((A u B) n C) (given that A B and C are independent and they are not mutually exclusive). What about Pr((A n B) u C)?
Your friend has asked you to draw a Venn diagram of two sets, A and B,...

Your friend has asked you to draw a Venn diagram of two sets, A and B, and knows the following information: P(B) = P(A|B), P(A and Bc) = 0.25, P((A or B) C) = 0.35 Given this information, draw and label the four areas typically labeled in a Venn digram.

Along with region 2,3,&4 X 8.2.41 Question Help 0 Draw a Venn diagram and use the...

Along with region 2,3,&4 X 8.2.41 Question Help 0 Draw a Venn diagram and use the given information to fill in the number of elements for each region. n(A) = 35, n(B) = 30, n(A'UB') = 52, n(ANB) = 11 COD 2 Region 1 has clements
venn diagram help plz 2) Using the information given, fill in the regions of the Venn...

venn diagram help plz 2) Using the information given, fill in the regions of the Venn Diagram with the number of elements in each n(S) = 75, n(A) = 38, n(B) = 42, n(C)=30, n(AB) = 25,n(ANC)=12, n(B,C)=16, n(ABC)= 7 Fill in your answers in the following spaces: a. b. c. d. e. f. g. h. S B a c e h g
Given the following equations, draw the simple Venn Diagram to match the equation. b) There are...

Given the following equations, draw the simple Venn Diagram to match the equation. b) There are three events: A, B and C A = { 1, 2, 3, 4 } B = { 2, 4, 6, 8 } C = { 10, 12 } Draw ( A ∩ B) C c) There are three events: A, B and C – same as in part b. Draw (B C)′ Note: apostrophe is complement. d) There are three events: A, B and...

8. [10 pts.] Use the following Venn diagram defines the events A, B, and C, where...

8. [10 pts.] Use the following Venn diagram defines the events A, B, and C, where the numbers in each region represent the total amount of outcomes in that region. 1 7 a. Determine the number of outcomes in ANBNC. b. Determine the number of outcomes in (ANB)' = C. Find P (AN(BUC)). = d. Find P(BIA). e. Are the events A and C independent? Explain.