A multiple-choice test consists of 9 questions. Each question has answer choices of a, b, c, d, and e, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that he gets at least 2 of them correct? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

Out of all families with 4 children, you select one family at random.  What are the chances that the family you select has exactly 3 boys?  Enter your answer as a decimal rounded to three decimal places (if necessary).

Recently a community college offered a 2-credit course to help students with math anxiety. At the beginning of the course, each student took a 30-question survey (called MARS-S); the higher the score, the more anxiety experienced by the student. The nine students remaining in the class took the same survey at the end of the course. The before and after scores for each of the nine students who completed the course are shown below, student before after 1 72 69 66 52 3 83 71 97 85 95 61 78 45 95 56 8. 52 43 93 62 Compute the correlation between before and after scores for these students. (Assu conditions have been satisfied and round your answer to the nearest 0.001.) the correlation Question Help: D Video O Message instructor Submit Question 目 Cip Co %23 24 96 & 4. 5 7 8. 9.

Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?