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Quarter 3 Exam Review Sheet: 1) Evaluate each of the following: a) 7! b) 5! e) 4C3 f) 9P2 c) _6!_ 3! d) _10!_ 5! g) 10C2 h) 12P7 2) John has 6 pairs of pants, 10 shirts, 4 pairs of sneakers, 2 belts, and 11 pairs of socks. How many different outfits can John wear consisting of one item from each of the previously mentioned items. 3) Seven equally qualified students apply for a scholarship, but only five scholarships can be given. How many combinations of students can win? 4) Nine students line up at the local theater, but there are only three tickets left to be sold. In how many different ways can you line up three students taken from a group of nine students? 5) Label each of the following as discrete or continuous? a) Number of traffic fatalities per year in the state of Florida. b) Distance a golf ball travels after being hit. c) Time required driving from home to college on any given day. d) Number of ships in Pearl Harbor on any given day. e) Your weight before breakfast each morning. f) Cost of an adult movie ticket at a local theater. 6) Complete the following table and answer the questions that follow: Rating 1 2 3 4 5 Σ= Frequency 15 17 22 17 15 Probability Σ= Σ= a) Construct a histogram to display the data. b) Comment on the distribution shape of the histogram. c) If a rating is chosen at random, find the probability that it will be above 3. d) If a rating is chosen at random, find the probability it will be an odd number. 7) Complete the table below and answer the questions that follow: a) Graph the probability distribution. b) What is the expected value? c) What is the standard deviation? x 0 1 2 3 4 f 10 19 27 36 48 Σ= P(x) xP(x) Σ= x-μ (x – μ)2 (x – μ)2P(x) Σ= 8) An Olympic archer is able to hit the bull’s eye 80% of the time. Assume each shot is independent of the others. If she shoots six arrows, what’s the probability of each result described below? a) Her first bull’s eye comes on the third arrow. b) Her first bull’s eye comes on the fourth or fifth arrow. c) She gets exactly 4 bull’s eyes. d) She gets at least 4 bull’s eyes. e) She gets at most 4 bull eye’s. 9) A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight’s game he a) misses for the first time on his fifth attempt. b) makes his first basket on his fourth shot. c) makes his first basket on one of his first 3 shots. 10) Over a 20 minute span, the average number of squirrels caught in a trap was 4. Answer each of the following below: a) What is the probability that in a 1-hour period, 10 squirrels will be trapped? b) What is the probability that in a 40-minute period, 6 squirrels will be trapped? c) What is the probability that more than 6 squirrels will be trapped in a 20minute period?