Answer each question based on the given information and explain your answer in each case.

(a) What is the range in the grade distribution? (b) Which of the following score bands has the most students? (i) 25 - 45 (ii) 35- 55 (iii) 45 - 65 (iv) Cannot be determined (c) About how many students in the sample are in the score band between 65 and 85? (i) 20 (ii) 30 (iii) 50 (iv) 100

5. Consider selecting one card at a time from a 52-card deck. What is the probability that the first card is an ace and the second card is also an ace? (Note: There are 4 aces in a deck of cards) (Show all work. Just the answer, without supporting work, will receive no credit.)

(a) Assuming the card selection is with replacement. (b) Assuming the card selection is without replacement.

6. There are 1000 juniors in a college. Among the 1000 juniors, 300 students are taking STAT200, and 150 students are taking PSYC300. There are 50 students taking both courses. Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. (Show all work. Just the answer, without supporting work, will receive no credit.)

(a) Provide a written description of the complement event of (S OR P). (b) What is the probability of complement event of (S OR P)?

7. Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is exactly 6, and B be the event that the first one is an even number.

(a) What is the probability that the sum of the two rolls is exactly 6 given that the first one is an even number? Show all work. Just the answer, without supporting work, will receive no credit. (b) Are event A and event B independent? Explain.

8. Answer the following two questions. (Show all work. Just the answer, without supporting work, will receive no credit).

(a) Mimi has seven books from the Statistics is Fun series. She plans on bringing two of the seven books with her in a road trip. How many different ways can the two books be selected?

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