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There are two roots of this function found by using function @ROOT within the plot
environment. Because of the integral in the equation, the root is approximated
and will not be shown in the plot screen. You will only get the message
Constant? Shown in the screen. However, if you press ` at this point, the
approximate root will be listed in the display. Two roots are shown in the right-
hand figure below.
Alternatively, you can use function @TRACE @(X,Y)@ to estimate the roots by tracing
the curve near its intercepts with the x-axis. Two estimates are shown below:
These estimates suggest solutions x = -1.9 and x = 3.3. You can verify these
“solutions” by evaluating function Y1(X) for X = -1.9 and X = 3.3, i.e.,
For the normal, Student’s t, Chi-square (
χ
2
), and F distributions, which are
represented by functions UTPN, UTPT, UPTC, and UTPF in the calculator, the
inverse cuff can be found by solving one of the following equations:
Θ Normal, p = 1 – UTPN(
μ,σ2,x)
Θ Student’s t, p = 1 – UTPT(
ν,t)
Θ Chi-square, p = 1 – UTPC(
ν,x)
Θ F distribution: p = 1 – UTPF(
νN,νD,F)