Unformatted text preview: t . If X ≤ t , Alvin gets a score of S = 1/ X . Otherwise his score is S = 0. Find the cdf of S . Is S a continuous random variable? 3. Let X be a uniform (0, 1) random variable. Compute g[G ± ] and then check the result by using the definition of expectation. 4. Let X be uniformly distributed on the interval (0, 1). Find the density function of ² = G ³/´ where α ≠ 0. 5. The lung cancer hazard rate of a t-year-old male smoker, λ ( t ), is such that µ¶·¸ = .027 + .00025¶· − 40¸ ¹ · ≥ 40 Assuming that a 40-year-old male smoker survives all other hazards, what is the probability that he survives to a) age 50 and, b) age 60 without contracting lung cancer?...
View Full Document
- Spring '11
- Variance, Probability theory, probability density function, Alvin, absent-minded professor schedules