Six students are deciding whether to go camping this weekend. They agree that if more than half of them get a grade higher than B+ on the midterm they would go. Suppose the 6 students' midterm grades are independent, meaning that each one's exam result is not influenced by the others. Suppose it is known that the probability of receiving a grade higher than B+ is .35. Use the binomial probability table attached to answer the following questions.

a. (4 points) What is the chance that they can go camping?

b. (4 points) One of the students is informed by the professor early on that he received an A+. Assuming at this point in time, the other 5 students had not heard about their grade and each still has .35 probability to get a grade higher than B+. What is the chance that they can go camping now?

TABLE C Binomial probabilities TABLE C Binomial probabilities (continued) Entry is P(X - k) - (x)'(1 - pr Entry is PO - k) - (x) p'(1 - py N : ANDHAWNNO VONAWN-DOUAWN-O MANN- O . * NOWAWN - O N ( Continued )TABLE C Binomial probabilities (continued) TABLE C Binomial probabilities (continued) Entry is P(x - *) - (#)p'(1 - p5- Entry is P(X - 4) - (* )p'(1 - pr BomVanAWNNO 12 (Continued\f