The lengths of songs on the radio are normally distributed with a mean length of 210 seconds. if 38.2% of all songs have lengths between 194 and 226 seconds, then the standard deviation of this distribution is: a) 16 seconds b) 8 seconds c) 32 seconds d) 64 seconds i’m suppose to construct a bell diagram for this question but don’t know how to without the standard thx

Given that the lengths of songs on the radio are normally distributed with a mean length of 210 seconds, then the probability that a randomly selected song will have length between 194 and 226 seconds is given by:

 

Given that the probability that all songs have lengths between 194 and 226 seconds is 38.2% = 0.382, then



Therefore, the standard deviation of the distribution is 32 seconds.