Consider the following Venn diagram concerning events E, F, and G with sample space S: E 8.18 8.1 0.02 8.88 8.25 8.17 G 8.07 Answer the following questions: 1. What is the value of q? 2. What is Pr[E]? 3. What is Pr[E n F']? 4. What is Pr(E n FnG')? 5. What is Pr[E' U F']?

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Hi! Can you answer only numbers 1,4, and 5 please?
Consider the following Venn diagram concerning
events E, F , and G with sample space S:
E
0.18
0.1
8,02
0.88
0,25
8,17
G
8.07
Answer the following questions:
1. What is the value of q?
2. What is Pr[E]?
3. What is Pr[En F']?
4. What is Pr(En FnG')?
5. What is Pr[E' U F']?
Transcribed Image Text:Consider the following Venn diagram concerning events E, F , and G with sample space S: E 0.18 0.1 8,02 0.88 0,25 8,17 G 8.07 Answer the following questions: 1. What is the value of q? 2. What is Pr[E]? 3. What is Pr[En F']? 4. What is Pr(En FnG')? 5. What is Pr[E' U F']?
Expert Solution
Step 1

Solution : 

1.  q  = p ( F  G )  = 1 -  P ( All remaining events )                     ( sum of all probabilities = 1 )

                                 = 1 - ( 0.18+0.17+0.25+0.1+0.02+0.08+0.07)

                                 = 0.13

Answer : q = 0.13

4. P( E F G' )     = P ( E F) - P( E  F G)

                                = 0.1 - 0.08

                                = 0.02

Answer : P( E F G' ) = 0.02

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