Let x be a random variable, mean=38 an standard deviation= 12?

let x be a random variable, mean=38 an standard eviation= 12. what is probability that


a) x is less than 60?


b) x is greater than 16?


c) x is between 16 an 60?


e) x is more than 60?

Let x be a random variable, mean=38 an standard deviation= 12?
By definition, 68% of all random variables will fall in the range of plus or minus one standard deviation, which, in this case is 24-50. Also, by definition, 95% of all random variables will fall into a two-standard deviation range, which, in this case, is 14-62.





So, without doing complex math, the quick answers are:


a) 97.5%


b) 97.5%


c) 95%


d) 2.5%