6.8 I need help with this long classwork. Any help is appreciated.

1 Answer the questions using the following contingency table, which collects the results of a study to 700 customers of a store where you want to analyze the payment method. A B 240 200 B' 160 100 that it did Karen? What is the probability that the coffee is bitter? What is the probability that the coffee is not bitter? [1] Event [2] Prob [3] Prob TO previous P(A) P(B/A) Conditional Joint P(ANB) [4] Prob [5] Prob Posterior P(A/B) A P(B) = Determine the probability that..... a) P(A') b) P(AB) c) P(AB) d) P(A/B) e) P(A'B') f) P(AA) g) Demonstrate whether A and B are independent 2. Be E and F mutually exclusive events and assume P(E) 04 and P(F)) = 0.3 Calculate: a) P(EF) b) P(EC) c)P(EFC) d)P(EF) 3 Sean E and F sample space events S If P(E)=0.5, P(F)=.04. P(EF)=0.2 Calcule a) P(EF) b) P(EC) c)P(EFC) d)P(EF). Help: Morgan's law, P(AUB PLAN8) P(AN-PAUB BAYES THEOREM 1. Every morning the coffee is prepared by the first employee who arrives Karen comes first 20% of the time, Juan and Julio 40% respectively. The probability of coffee being bitter if prepared by Karen is 10%, for Juan and Julio is 20% and 30% respectively. If you arrive in the morning and find the bitter coffee what is the probability 2. Total probability problem. The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products. sit with blades of average sharpness exhibit roughness, and 5% of products slit with worn blades exhibit roughness. If 25% of the blades in manufacturing are new, 60% are of average sharpness, and 15% are wom. what is the proportion of products that exhibit edge. roughness Il-Combinations or Permutations 1. How many ways can you sort the letters of the word CARACAS? 2. An executive committee of four members shall be formed from 12 members of the executive board. How many ways can the committee be selected? 3. How many three-digit numbers can be formed by the following set (3,2,7,9) if the numbers are not allowed to be repeated? 4. How many ways can four students sit in a row of seats? 5. How many bat orders can be made with a nine-person baseball team? 6. If a die is cast 9 times. How many different results are possible? 7. If a committee of five teachers is to be chosen from a total of 12 teachers. How many different ways can a committee be chosen?