Let X be an exponential random variable, Show that for a > 0 and b > 0: Statistics Assignment, USM, Malaysia
| University | Universiti Sains Malaysia (USM) |
| Subject | Statistics |
Question
- Let X be an exponential random variable, Show that for a > 0 and b > 0,
P(X >a+b|X> a) = PX > b)
- Let ¥ be a continuous random variable with a density function given as follows,
- Identify the distribution function for Y and state the parameters of the distributions.
- Derive the moment-generating function of Y,
- Given the E(Y`) = 15, find the value of 62.
- Use the information in (iii) to find the value of 0025 if P(Y > 00,25) = 0.75,
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