

Normal {base}                                R Documentation

_T_h_e _N_o_r_m_a_l _D_i_s_t_r_i_b_u_t_i_o_n

_D_e_s_c_r_i_p_t_i_o_n_:

     These functions provide information about the normal
     distribution with mean equal to `mean' and standard
     deviation equal to `sd'.  `dnorm' gives the density,
     `pnorm' gives the distribution function `qnorm' gives
     the quantile function and `rnorm' generates random
     deviates.

_U_s_a_g_e_:

     dnorm(x, mean=0, sd=1)
     pnorm(q, mean=0, sd=1)
     qnorm(p, mean=0, sd=1)
     rnorm(n, mean=0, sd=1)

_A_r_g_u_m_e_n_t_s_:

     x,q: vector of quantiles.

       p: vector of probabilities.

       n: number of observations.

    mean: vector of means.

      sd: vector of standard deviations.

_D_e_t_a_i_l_s_:

     If `mean' or `sd' are not specified they assume the
     default values of `0' and `1', respectively.

     The normal distribution has density

          f(x) = 1/(sqrt(2 pi) sigma) e^-((x - mu)^2/(2 sigma^2))

     where mu is the mean of the distribution and sigma the
     standard deviation.

_S_e_e _A_l_s_o_:

     `runif' and `.Random.seed' about random number genera-
     tion, and `dlnorm' for the Lognormal distribution.

_E_x_a_m_p_l_e_s_:

     dnorm(0) == 1/ sqrt(2*pi)
     dnorm(1) == exp(-1/2)/ sqrt(2*pi)
     dnorm(1) == 1/ sqrt(2*pi*exp(1))

