Question 1 10 pts Expand (x + y)6. O x + 6xy5 + 15x2y4 + 20x3y3 +15x4y2 + 6x5y+ x6 O x6 + 5x5y + 10x4y2+ 10x3y3+5x2y4+ yb Oxo + xby + x4y2 + x3y3 + x 2y4 + xy5 + yo O x + 6x5y + 15x4y2+ 20x3y3+15x2y4 + 6xy5+ yo Question 2 10 pts 1 00 Evaluate 7Question 3 10 pts Find the coefficient to the x y3 term in the expansion of (a + y). 0 56 O 10 O Cannot be determined 0 1 Question 4 10 pts Find the 5th term in the expansion of (a + 3)?. O 2835x2 O 1701x2 O 2835x3 O None of these. O 1701x3Question 5 10 pts Using the formula for binomial distribution, P (as) = (n) pm (In33 a\": What would the value of n be in the given scenario? When rolling a die 20 times, what is the probability of rolling exactly a 4 six times. 04 01/6 014 020 Question 6 10 pts Which of the following would be considered binomial probability? Select all that apply C] A manufacturer of teddy bears nds that on the average, 18% of his bears are rejected because they are either oversize or undersize. What is the probability that a batch of 10 bears will contain at least 7 with defects? C] A (blindfolded) marksman nds that on the average he hits the target 3 of the 4 times. If he res 20 shots, what is the probability he will hit only 10 times? C] Hospital records show that of patients suffering from a certain disease, 80% will recover. What is the probability that 8 of the 10 will recover? C] There is a box of colored pencils where 10% of them are blue. What is the probability you pull 2 blue pencils out in a row? (without replacement) C] You roll a dice 20 times. What is the probability you will roll a 5 or a 6? Question 7 10 pts A small pond contains seven catsh and two bluegill. If seven sh are caught at random, with replacement, what is the probability that all of them are catsh? O 47% O 28% O 17% O 83% Question 8 10 pts A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly two out of six free throws? O 98.7% 0 1.9% O 13.8% 0 89.4% Question 9 10 pts The desks in a classroom are organized into four rows of four columns. Each day the teacher randomly assigns you to a desk. You may be assigned to the same desk more than once. Over the course of six days, what is the probability that you are assigned to a desk in the front row exactly two times? 0 89.2% 0 24.3% 0 29.6% 0 57.9% Question 10 10 pts A quiz consists of seven multiple-choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at least two questions correctly? 0 7% O 32.1% 0 55.5% 0 83%