dˌɪstɹɪbjˈuːʃən fˈʌŋkʃənz: nˈoːɹməl pɹˌɑːbəbˈɪlᵻɾi dˈɛnsᵻɾi fˈʌŋkʃən æt mˈiːn ˈiːkwəlz zˈiəɹoʊ ænd sˈɪɡmə ˈiːkwəlz wˈʌn ˈɛf ˈɛks, pɹˌɑːbəbˈɪlᵻɾi bᵻtwˌiːn ˈɛks bˈaʊndɚɹiz, ɪnvˈɜːs kjˈuːmjʊlətˌɪv nˈoːɹməl dˌɪstɹɪbjˈuːʃən fˈʌŋkʃən fɚɹə ɡˈɪvən ˈɛɹiə ˌʌndɚ ðə nˈoːɹməl dˌɪstɹɪbjˈuːʃən kˈɜːv wɪð jˈuːzɚspˈɛsᵻfˌaɪd mˈiːn ænd stˈændɚd dˌiːvɪˈeɪʃən, pɹˌɑːbəbˈɪlᵻɾi æɾ ˈɛks fɚðə dɪskɹˈiːt baɪnˈoʊmɪəl dˌɪstɹɪbjˈuːʃən wɪð jˈuːzɚ spˈɛsᵻfˌaɪd tɹˈaɪəl nˈʌmbɚ ænd pɹˌɑːbəbˈɪlᵻɾi ʌv səksˈɛs pɜː tɹˈaɪəl, kjˈuːmjʊlətˌɪv pɹˌɑːbəbˈɪlᵻɾi æɾ ˈɛks fɔːɹ baɪnˈoʊmɪəl dˌɪstɹɪbjˈuːʃən wɪð spˈɛsᵻfˌaɪd tɹˈaɪəl nˈʌmbɚ ænd pɹˌɑːbəbˈɪlᵻɾi ʌv səksˈɛs pɜː tɹˈaɪəl, pɹˌɑːbəbˈɪlᵻɾi æɾ ˈɛks fɔːɹ pˈɔɪsən dˌɪstɹɪbjˈuːʃən wɪððə spˈɛsᵻfˌaɪd mˈiːn, kjˈuːmjʊlətˌɪv pɹˌɑːbəbˈɪlᵻɾi æɾ ˈɛks fɔːɹ pˈɔɪsən dˌɪstɹɪbjˈuːʃən wɪððə spˈɛsᵻfˌaɪd mˈiːn
Distribution functions: normal probability density function at mean=0 and sigma=1 (f(x), probability between x boundaries), inverse cumulative normal distribution function for a given area under the normal distribution curve with user-specified mean and standard deviation, probability at x for the discrete binomial distribution with user specified trial number and probability of success per trial, cumulative probability at x for binomial distribution with specified trial number and probability of success per trial, probability at x for Poisson distribution with the specified mean, cumulative probability at x for Poisson distribution with the specified mean