Problem Set 2

Problem Set 2 Answer Checker

Work on the assigned problems in the associated Problem Set PDF file, then use the problem set checker to find out if the answer was correct or incorrect. To check your answers put them in the appropriate box and click the 'Check' button. Every checker box can do arithmetic and calculate standard functions (see calculator help). If you give decimal answers, give them to at least 3 decimal places.

As you work you should have pencil and paper handy for calculations and thinking!

Note: some questions ask for a formula. For the checker we ask you to plug a value into the formula. For your pset you still need to give the whole formula.

Calculator

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Problem 1. 

(a) Give the probabality of two girls:

 

(b) Give the probabality of two boys:

 

Problem 2. 

Give P(guilty | the witness saw a blue taxi):

 

Problem 3. 

Give the expected sum of cards:

 

Problem 4. 

(a) No online check


(b) Give P(X=k|R=3):

(i) For k=4:

 

(ii) For k=6:

 

(iii) For k=8:

 

(c) No online check


(d) No online check


Problem 5. 

Take n=15, give the expected number who are shorter than both neighbors:

 

Problem 6. 

(a) No online check


(b) No online check


(c) Give your estimated value for the average length of the longest run.

 

(d) Give your estimated probability for the a run of 8 or more in 50 flips.