Dawnbridge

TI-84 Plus CE field manual for IB Math

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22

Inverse normal

All courses

Use the inverse-normal routine to find the value k with a given cumulative probability P(X<k).

Goal

If XN(60,52), find k such that P(X<k)=0.9.

1

Verify STAT WIZARDS is set to ON: press and check the row near the bottom of the screen. With it off, the DISTR menu items paste a bare command instead of opening the input wizard, so there's no Tail option to set. Press to return to the home screen.

NORMALFLOATAUTOREALRADIANMP
MATHPRINTCLASSIC
NORMALSCIENG
FLOAT0123456789
RADIANDEGREE
FUNCTIONPARAMETRICPOLARSEQ
THICKDOT-THICKTHINDOT-THIN
SEQUENTIALSIMUL
REALa+bire^(θi)
FULLHORIZONTALGRAPH-TABLE
FRACTION TYPE:n/dUn/d
ANSWERS:AUTODEC
STATDIAGNOSTICS:OFFON
STATWIZARDS:ONOFF
SET CLOCK01/01/15 12:00 AM
LANGUAGE:ENGLISH
2

Open the distribution menu with , then choose 3: invNorm(.

3

Fill in the wizard: area: 0.9 (the probability to the left of k), μ=60,  σ=5, and Tail: LEFT.

NORMALFLOATAUTOREALRADIANMP
invNorm
area:0.9
μ:60
σ:5
Tail:LEFTCENTERRIGHT
PasteHelp
4

Choose Paste, then press to evaluate the pasted command.

Result

k66.4.

NORMALFLOATAUTOREALRADIANMP
invNorm(0.9,60,5,LEFT)
66.40775783

Your turn

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

  1. 1

    If XN(100,152), find k such that P(X<k)=0.95.

  2. 2

    If XN(24,32), find k such that P(X<k)=0.10.

  3. 3

    If XN(70,62), find k such that P(X<k)=0.25.