二項分佈及泊松分佈

程式 (共63字,藍色的 - 是負號,按EXP或E可以產生E。):

0BAC + B ^ ( A cos( sin-1( X ) ) ) ( A cos( sin-1( X ) ) ) !-1 e^( - B ) cos( sin-1( X ) )

+ BX nCr AX * C ^ ( A + E - 99 ) X ( 1 - C ) ^ ( B - A )

SAVE PROG1 或 PROG2 (SRP-285II計數機)

STO EQN (HP 30S計數機)

 

例題1: 若X ~ Bin(9,0.5),求P(X=4),P(X=5)及P(X=6)。

SRP-285II 按法:  

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 = =

9 = 4 = 0.5 = 1 = (1代表二項分佈,顯示P(X=4)為0.24609)

↑5 = (顯示P(X=5)為0.24609)↑6 = (顯示P(X=6)為0.16406)

 

HP 30S 按法:

按  2nd CL-VAR VRCL,再按 ← = =

9 = 4 = 0.5 = 1 = (1代表二項分佈,顯示P(X=4)為0.24609)

↑5 = (顯示P(X=5)為0.24609)↑6 = (顯示P(X=6)為0.16406)

 

例題2: 若X ~ Po(5),求P(X=4),P(X=5)及P(X=6)。

SRP-285II 按法:  

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 = =

5 = 4 =  = = (0代表泊松分佈,顯示P(X=4)為0.17547)

↑5 = (顯示P(X=5)為0.17547)↑6 = (顯示P(X=6)為0.14622)

 

HP 30S 按法:

按  2nd CL-VAR VRCL,再按 ← = =

5 = 4 =  = = (0代表泊松分佈,顯示P(X=4)為0.17547)

↑5 = (顯示P(X=5)為0.17547)↑6 = (顯示P(X=6)為0.14622)

 

例題3: 若X ~ Bin(9,0.5),求P(X=4),P(X=5),P(X=6),P(X=7)及P(4≦X≦7)。

先清除M的記憶按 MRC MRC CL

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 = =

9 = 4 = 0.5 = 1 = M+ (1代表二項分佈,顯示P(X=4)為0.24609)

5 SAVE =↑↑ M+ (顯示P(X=5)為0.24609)

6 SAVE =↑↑ M+ (顯示P(X=6)為0.16406)

7 SAVE =↑↑ M+ (顯示P(X=7)為0.00703)

MRC = (顯示P(4≦X≦7)為0.72656)

 

例題4: 若X ~ Po(5),求P(X=4),P(X=5),P(X=6),P(X=7)及P(4≦X≦7)。

SRP-285II 按法:  

先清除M的記憶按 MRC MRC CL

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 = =

5 = 4 = = = M+ (0代表泊松分佈,顯示P(X=4)為0.17547)

5 SAVE =↑↑ M+ (顯示P(X=5)為0.17547)

6 SAVE =↑↑ M+ (顯示P(X=6)為0.14622)

7 SAVE =↑↑ M+ (顯示P(X=7)為0.10444)

MRC = (顯示P(4≦X≦7)為0.60160)

 

HP 30S 按法:

先清除M的記憶按 MRC MRC CL 再按 2nd CL-VAR  RCL,再按 ← EQN,再按 = =

5 = 4 = = = M+ (0代表泊松分佈,顯示P(X=4)為0.17547)

5 SAVE =↑↑ M+ (顯示P(X=5)為0.17547)

6 SAVE =↑↑ M+ (顯示P(X=6)為0.14622)

7 SAVE =↑↑ M+ (顯示P(X=7)為0.10444)

MRC = (顯示P(4≦X≦7)為0.60160)

 

 

例題5: 若X ~ Bin(9,0.5),求P(4≦X≦7)。

SRP-285II 按法:  

先清除ANS的記憶按  CL 0 =

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 + 2nd ANS =

9 = 4 = 0.5 = 1 (1代表二項分佈,顯示P(X=4)為0.24609)

↑5 = (顯示P(X=4)+P(X=5)為0.49219)

↑6 = (顯示P(X=4)+P(X=5)+P(X=6)為0.65563)

↑7 = (顯示P(4≦X≦7)為0.72656)

 

HP 30S 按法:

先清除ANS的記憶按  CL 0 = 再按 2nd CL-VAR  RCL,再按 ← EQN,再按 + 2nd ANS =

9 = 4 = 0.5 = 1 (1代表二項分佈,顯示P(X=4)為0.24609)

↑5 = (顯示P(X=4)+P(X=5)為0.49219)

↑6 = (顯示P(X=4)+P(X=5)+P(X=6)為0.65563)

↑7 = (顯示P(4≦X≦7)為0.72656)

 

例題6: 若X ~ Po(5),求P(X=4),P(X=5),P(X=6),P(X=7)及P(4≦X≦7)。

SRP-285II 按法:  

先清除Ans的記憶按 CL 0 =

按 2nd CL-VAR  P/V RCL,再按 ← 選擇正確的PROG,再按 + 2nd Ans =

5 = 4 = = = (0代表泊松分佈,顯示P(X=4)為0.17547)

↑5 = (顯示P(X=4)+P(X=5)為0.35093)

↑6 = (顯示P(X=4)+P(X=5)+P(X=6)為0.49716)

↑7 = (顯示P(4≦X≦7)為0.60160)

 

HP 30S 按法:

先清除ANS的記憶按  CL 0 = 再按 2nd CL-VAR  RCL,再按 ← EQN,再按 + 2nd ANS =

5 = 4 = = = (0代表泊松分佈,顯示P(X=4)為0.17547)

↑5 = (顯示P(X=4)+P(X=5)為0.35093)

↑6 = (顯示P(X=4)+P(X=5)+P(X=6)為0.49716)

↑7 = (顯示P(4≦X≦7)為0.60160)

 

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