Question

3. A fair coin is flipped three (3) times. (a) Draw the tree diagram representing the outcomes of the experiment. (b) List the sample space for the experiment. (e ) Determine the repective robuabilitis fo each tip (d) List the outcomes that represent the probabilities of getting two (2) or more heads. (e) Using the binomial distribution formula, show algebraically that the probability of oblining two or more heads is the same as what was shown in (d) above. 7, 1 Teacher Ratings: Grades Professor Stone complains that student teacher ratings depend on the grade the student receives. In other words, according to Professor Stone, a teacher who gives good grades gets good ratings, and a teacher who gives bad grades gets bad ratings. To test this claim, the Student Assembly took a random sample of 300 teacher ratings on which the stu- dent's grade for the course also was indicated. The results are given in the following table. Test the hypothesis that teacher ratings and student grades are independent at the 0.01 level of significance Rating C F(or withdrawal) Row Total Excellent 14 18 15 50 Average 25 35 75 15 150 21 27 40 12 100 Column Total 60 80 130 30 300

Answer 1

3)

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