- 6 24 If X Is Exponential With Rate Find P X N X X S X Where X Is Defined As The Largest Integer Less Than 1 (24.05 KiB) Viewed 56 times
6.24. If X is exponential with rate , find P{[X] = n, X- [X] S x}, where [x] is defined as the largest integer less than
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6.24. If X is exponential with rate , find P{[X] = n, X- [X] S x}, where [x] is defined as the largest integer less than
6.24. If X is exponential with rate , find P{[X] = n, X- [X] S x}, where [x] is defined as the largest integer less than or equal to x. Can you conclude that [X] and X - [X] are independent? 6,24 [X] is often referred to as the “floor" function. Many sources use instead [x].) In class I used N = [X] and REX-[X]. Extensions: E1: Suppose X is instead Normal. Are [X] and X - [X] independent? Justify your response. E2: Suppose X is instead Uniform. Under what conditions are [X] and X - [X] independent?