function f (x, y) =15e-2x-3y a joint probability density function over the range 0
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- Find the value of i such that function f(x) is valid probability density function f(x) = î (x – 1) (2 – x) for 1< x<2 = 0 otherwise %3Db Lri Consider the probability density fx (x) a.e b L, where X is random variable whose allowable values range from x = (a) the CDF (b) the relation between a and b (c) the probability that x lies between 1 and 2. - o to + 00, Find ∞ to + oo,Let f(x) = Ce-x/1+e-2x for all x in (-infinity, infinity). If f is a probability density function for a random variable X on (-infinity, infinity), answer the following: (a) Find the value of constant C. (b) Evaluate the probability P(X<-4). Correct to four decimal places.
- number 4:While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove a kilometers from home (along the road) is p(x) = 2e-2 for x ≥ 0 a. What is the probability that you dropped it within 1 kilometer of home? I b. At what distance y from home is the probability that you dropped it within y km of home equal to 0.95? km <-|The random variables X andY have joint probability density function f(r,v) 22 (4- 3y), 0f(t) = A exp ( - bt) means f (t) = Ae-bt The probability density function for the random variable T is f[t) = kt exp (-k2) for t>0 where k >0. E(T) = Select one: a. % [k/ T) b. 1/4 (T/k)/2 c. (T/k)/2 d. % (T/k)1/2Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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