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How can a dnorm probability be larger than a corresponding cumulated pnorm probability

Discussion in 'Education' started by alwinhoff, Oct 8, 2018.

  1. alwinhoff

    alwinhoff Guest

    Using the probability distribution density functions dbinom, dnorm, etc. and the corresponding cumulative probability functions pbinom and pnorm, I noticed that the dnorm density values could be smaller than the corresponding cumulative probability pnorm values. In the example below, the dnorm value for an x=5.2 is about 5 times larger (.005) than the corresponding pnorm value (.001). How can this be?

    x <- seq(4, 10, .3) point_density <- round(dnorm(x, 6.8, .5),3) cumulated_probability <- round(pnorm(x, 6.8, .5),3) df <- data.frame(x=x, point_density, cumulated_probability) head(df,20)

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