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Done 412+-+HW+1 (2 of 2) 2. Collect your data from three coins of your choice, and show that all are approximately fair via simple graphs. 3. Use the above coins to simulate a random sample of size 50 (e.g., BHHHFB..) for the population described in Problem 1, and a. b. c. d. Sketch your data collection method, and provide justifications; Document the data via an Excel file; Provide point estimates from the simulated data for all three parameters; Compare and comment.
math   Statistics-And-Probability   
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Answer #1

The coin toss for the 3 coins are simulated as given below in the excel.

0011100100110000110 1110100001110000101 0 1 2 3 4 5 6 7 8 9 0 1 2 34 5 6789

The formula to create this is given below

1 Coin 1 Coin L Coin 3 IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) 3 IF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100) 49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 5 =IF(RANDBETWEEN(1,100):49,1,0) -IF(RANDBETWEEN(1,100549,1,0) -IF(RANDBETWEEN(1,100)>49,1,0) 6 HIF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 7 =IF(RANDBETWEEN(1,100)>49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) 8 EIF(RANDBETWEEN(1,100)>49,1,0) EIF(RANDBETWEEN(1,100) 49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 9 =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 10-IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 11=IF(RANDBETWEEN(1,100)>49,1,0) -r(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 12:IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) -IF(RANDBETWEEN(1,100)>49,1,0) 13 IF(RANDBETWEEN(1,100)>49,1,0) EIF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 14 =IF(RANDBETWEEN( 1,100)>49,1,0) -IF(RANDBETWEEN(1,100):49,1,0) :IF(RANDBETWEEN(1,100)>49,1,0) 15 EF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 16 =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 17 =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 18 F(RANDBETWEEN(1,100)>49,1,0) IF(RANDBETWEEN(1,100) 49,1,0) IF(RANDBETWEEN(1,100)>49,1,0) 19 =IF(RANDBETWEEN(1,100)>49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) =IF(RANDBETWEEN(1,100)>49,1,0) 201=IF(RANDBETWEEN(1,100)>49,1,0) =IF(RANDBETWEEN(1,100):49,1,0) =FIRANDBETWEEN(1,100)>49,1,0) 21

Distribution of head and tail

Head(1)Tail (0) 9 10 Coin 1 Coin 2 Coin 3

Head(1) COUNTIF(SA$2:SA$20,1) COUNTIF(ŞA$2:SA$20,0) =COUNTIF($BS2SB$20,1) =COUNTIE(SB$2:$BS20,0) -COUNTIF(SB$2:$B$20,1)COUNTIF($B$2:$B$20,0) Tail (0) Coin 1 Coin 2 Coin 3

Coin 1 Coin 3 Coin 3 Head(1) 47% Tail (0) 42% Tail (0) 42% Tail (0) 53% Head(1) Head(1) 58% 58

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