HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 154
The MTH/PROB menu - part 2, The Normal distribution, The Student-t distribution - statistics
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The MTH/PROB menu - part 2 In this section we discuss four continuous probability distributions that are commonly used for problems related to statistical inference: the normal distribution, the Student's t distribution, the Chi-square (χ2) distribution, and the F-distribution. The functions provided by the calculator to evaluate probabilities for these distributions are NDIST, UTPN, UTPT, UTPC, and UTPF. These functions are contained in the MTH/PROBABILITY menu introduced earlier in this chapter. To see these functions activate the MTH menu: „´ and select the PROBABILITY option: The Normal distribution Functions NDIST and UTPN relate to the Normal distribution with mean µ , and variance σ2. To calculate the value of probability density function, or pdf, of the f(x) for the normal distribution, use function NDIST(µ, σ2, x). For example, check that for a normal distribution, NDIST(1.0, 0.5, 2.0) = 0.20755374. This function is useful to plot the Normal distribution pdf. The calculator also provides function UTPN that calculates the upper-tail normal distribution, i.e., UTPN(µ, σ2, x) = P(X>x) = 1 - P(Xt) = 1-P(T