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Casio fx-CG50 field manual for IB Math

AI HL only · 39 of 44

39

Poisson distribution probabilities

AI HL

Use the Poisson cdf routine to find bounded probabilities P(a≤X≤b).

Goal

If ​X∼Po(4), find ​P(2≤X≤6).

1

From the MAIN MENU, open Statistics, then press (DIST), (▶), and choose POISSON → Pcd.

2

Press (Var) if Data shows List, then fill in the range directly: Lower = 2, Upper = 6, and ​μ=4​ (the Casio labels the Poisson mean ​μ​).

RadNorm2
d/cReal
Poisson C.D
Data:Variable
Lower:2
Upper:6
μ:4
Save Res:None
Execute
CALC
3

Move down to Execute and press . The calculator prints the probability p on the results screen.

RadNorm2
d/cReal
Poisson C.D
p=0.79774783
Result

​P(2≤X≤6)≈0.798.

Your turn

Work each one on your calculator, then check the answer.

  1. 1

    If ​X∼Po(5.5), find ​P(3≤X≤7).

  2. 2

    If ​X∼Po(3), find ​P(2≤X≤5).

  3. 3

    If ​X∼Po(7), find ​P(5≤X≤9).