I trying to understand the statistics behind shotgun sequencing. Below is an excerpt from a book. Can anyone tell what does the below bold sentence mean? I did not understand the interval range and left hand.
The fragments are assumed to be taken at random from the original full-length sequence, so that if end effects are ignored, the left-hand ends of the fragments are independently distributed with a common uniform distribution over [0,G]. This implies that any such left-hand end falls in an interval (x, x+h) with probability h/G and that the number of fragments whose left-hand end falls in this interval has a binomial distribution with mean Nh/G.