HW 5A
Overall your best 10 of 12 Part A submissions (not counting HW 1A) will account for 10% of your overall course grade
(with each one of your best 10 accounting for 1% of your overall course grade).
But to make the
grading easier, I'll make this assignment worth 100 (and instruct the
graduate teaching assistant to assign only integer scores for each part). So each point indicated below
is really only worth 0.01% of your overall course grade.
There are 5 parts to this assignment worth 20 points each, so
that each part will
account for 0.2% of your overall course grade.
Be sure to draw boxes around or highlight your final answers, but also show adequate work (if requested) to
justify your answers.
Unless stated otherwise, give probabilities as numbers (as opposed to expressions that have to be evaluated). Give either exact values,
or else round to three significant digits. (Note: 0.00264 has three significant digits, but 0.003 only has one significant digit.)
Note: Your solutions should be given to me during class on 10/8. I plan to post the solutions very shortly after
class that night and I won't accept any papers after I post the solutions. Do not attach your HW 5A solutions to your
HW 4B solutions, which are also due on 10/8, because these two assignments will be graded by different people.
1) (40 points (20 points for each part))
Do parts (a) and (b) of Problem 4.35 on p. 176 of Ross, except change the number of balls of each color from 5 to 4.
Provide justification for your answers.
2) (40 points (20 points for each part))
Do parts (a) and (b) of Problem 4.38 on p. 176 of Ross.
Provide justification for your answers.
(Note: While part (b) is rather straightforward and easy, part (a) isn't nearly as trivial.)
3) (20 points)
Do Problem 4.41 on p. 176 of Ross.
(Be sure to note that the desired probability is that he gets at least 7 out of 10 correct just by guessing (with each coin flip
matching his guess with probability 1/2, independent of the results from previous coin flips).)