* (2) Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A/B) = 0.1. Then P(A|AUB) is (a) 1/5 (b) / (c) ²/ (d)
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- Pollution is one of the country's problems for many years now. If events: A. water pollution is present B. a water sample was found polluted C. water is safe for fishing Assume P(A) = P(A) = 0.30, P(B|A) = 0.75, P(B|A') = 0.20, P(C|A n B) = 0.20, P(C|A'n B) = 0.15, P(CJA n B') = 0.80, and P(C|A' n B') = 0.90 i. Find P(A N BnC) ii. Find P(B' n C) iii. Find P(C) iv. Find the probability that the water pollution is present given that the water the sample water was not found polluted. sole for fishing andThe pdf of the time to failure of an electronic component in a copier (in hours) is f (x) = [exp (-x/3100)]/3100 for x > 0 and f (x) = 0 for x ≤ 0. Determine the probability that:(a) A component lasts more than 1180 hours before failure.(b) A component fails in the interval from 1180 to 2010 hours.(c) A component fails before 3010 hours.(d) Determine the number of hours at which 11% of all components have failed.(e) Determine the mean.Round your answers to three decimal places (e.g. 98.765).Help me please
- Roll two dice, the numbers on these two dice are denoted as N₁ and N₂, respectively. Let X := max{N₁, N₂}, A := {N₁ + N₂ ≤ 5} (a). Calculate the px|A· (b). Calculate the E(XA).A random process X(t) is applied as input to a system whose impulse response is h(t) 3u(t)t² exp (-8t). If E[X(t)] = 2, what is the mean value of the system response y(t). - CS Scanned with CamScannerThe time t (in hours) required for a new employee to succesfully learn to operate a machine in a manufacturing process is described by the probability function f(t) = kt/16 – t for 0Suppose X-U (-54, 60) and F(t) is the cumulative distribution function. What is the probability that X is in the interval [-51, -21] or in the interval [-36, 57]? O (F(-21)-F(-51))+ (F(57) - F(-36)) O (F(-21)-F(-51)) x (F(57) - F(-36)) O F(-21)-F(-36) O F(57) - F(-51)If the odds against T occurring are 8:5, then find P(T) and P(T'). P(T) = (Simplify your answer.) P(T') = (Simplify your answer.)Please send me answer with in 10 min!! I will rate you good for sure!!SEE MORE QUESTIONS
