Consider an arbitrary, continuous normal distribution with a given mean and standard deviation. derive an integral function that gives the percentile of a particular value, x. the integration is analytical, yet it is often given a functional representation look it up and plot the erf function in terms of the mean and standard deviation. estimate the 25th and 75th percentile. within how many standard deviations from the mean is 50% of the distribution?

Both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue segment is 5. how long is the red line segment?

Which of the following is the result of expanding the series

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.