f(1) -A exp (- bt) means t (t) = Aebt The probability density funotion for the random variable Tis Fi) = kt exp ( -kt?) for t>0 where k > 0. E(T) = Select one: a. % (k/ m) b. 1/4 (T/k)/2 o. (T/k)2 d. 4 (T/k)1/2
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- 52 l l 0.5 If P(A/B)=0.5 and P(B)=0.8, then the 1/1 probability that both A and B occur is O 0.8 O 0.2 O 0.6 0.4 If f(x)=(2x+3)/1O, where 0O 31 75% i 2:02 pm exam.ptuk.edu.ps/mod/ 19 احتمالات عبد ال له Let X be a continuous random variable with probability density function -1QI. The probability mass function of a random variable X is given by p(i) = ca' /i!, i = 0,1,2,..., where à is some positive value. Find (a) P{X = 0} and (b) P{X > 2}. %3D(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a random variable whose probability density is: f(x) - ਵਿਆ = 0 x xe 3 six>0 six<0 The city's electric power plant has a daily capacity of 12 million kWh. a. Verify that the given function is a probability density function. b. Calculate the probability that the power plant cannot meet the demand for electric power.The probability density function of a random variable x is f (x) %3D kx ( х- 1 ) in 1Consider the probability distribution function (PDF) f(r) = Ax sin r, for 0Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON