泊松分佈及二項分佈(I)
修改日期: 05年8月3日
( | 0 | A | + | B | ) | yx | ( |
A | cos | sin-1 | C | yx | 10x | +/- | 9 |
9 | ) | A | n! | x-1 | ex | +/- | B |
cos | sin-1 | C | yx | 10x | +/- | 9 | 9 |
+ | B | C | yx | 10x | +/- | 9 | 9 |
nCr | A | C | yx | 10x | +/- | 9 | 9 |
× | C | yx | ( | A | + | 10x | +/- |
9 | 9 | ) | ( | 1 | - | C | ) |
yx | ( | B | - | A | ) | STO F1 或 F2 |
例題1: 若X ~ Bin(9,0.5),求P(X=4)。
按 RCL F1 ALGB 4 = 9 = 0.5 = (顯示答案為0.24609)
例題2: 若X ~ Po(5),求P(X=4)。
按 RCL F1 ALGB 4 = 5 = 0 = (0代表泊松分佈,顯示答案為0.17547)
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)。
按 RCL F1 ALGB 4 = 9 = 0.5 = (顯示P(X=4)為0.24609) STO M
5 STO A↑↑ (找回程式) M+ (顯示P(X=5)為0.24609)
6 STO A ↑ M+ (顯示P(X=6)為0.16406)
7 STO A ↑ M+ (顯示P(X=7)為0.00703)
RCL M (顯示P(4≦X≦7)為0.72656)
另一種按法:
按 RCL F1 ALGB 4 = 9 = 0.5 = (顯示P(X=4)為0.24609) STO M
↑ ALGB 5 = = = M+ (顯示P(X=5)為0.24609)
↑ ALGB 6 = = = M+ (顯示P(X=6)為0.16406)
↑ ALGB 7 = = = M+ (顯示P(X=7)為0.07031)
RCL M (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)。
按 RCL F1 ALGB 4 = 5 = 0 = (0代表泊松分佈,顯示P(X=4)為0.17547) STO M
5 STO A↑↑ (找回程式) M+ (顯示P(X=5)為0.17547)
6 STO A ↑ M+ (顯示P(X=6)為0.14622)
7 STO A ↑ M+ (顯示P(X=7)為0.10444)
RCL M (顯示P(4≦X≦7)為0.60160)
另一種按法:
按 RCL F1 ALGB 4 = 5 = 0 = (顯示P(X=4)為0.17547) STO M
↑ ALGB 5 = = = M+ (顯示P(X=5)為0.17547)
↑ ALGB 6 = = = M+ (顯示P(X=6)為0.14622)
↑ ALGB 7 = = = M+ (顯示P(X=7)為0.10444)
RCL M (顯示P(4≦X≦7)為0. 60160)
相關資料:
標準常態分佈(應用置積分功能) (Standard normal distribution)
常態分佈(應用內置積分功能) (Normal distribution)
標準常態分佈概率(II) (Normal Probability Calculation II)
反查標準常態分佈概率(I) (Inverse Standard Normal Probability Calculation I)
二項分佈 (Binomial distribution)
二項分佈及泊松分佈(II) (Poisson distribution and binomial distribution II)
二項分佈及泊松分佈(III) (Poisson distribution and binomial distribution III)
反查標準常態分佈概率(II) (Inverse Standard Normal Probability Calculation II)