Which of the following is not a characteristic of the normal

Which of the following is not a characteristic of the normal distribution?

Some value is the most likely.

Values closest to the mean are more likely.

It must be symmetric.

Values cannot fall below zero.

Extreme values are possible, but rare.

Solution

True mean median and mode are equal

true values are closely to mean are more likely normal distribution is symmetrical about mean

true , because mean=median=mode so it is symmetric

false , values fall between -3sigma to 3sigma so values fall below zero

true , 68.27% lies between -1 and 1. 95.4% lies between 2 sigmas , 99.7 lies between 3 sigmas so the extreme values are possible but rare.