The probability density function fx) of a continuous random variable x is defined by A 5sxS 10 f(x) = %3D 0, otherwise Then the approx value of A is [Upto 2 decimal placesl
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- Suppose a and b are positive integers with a ≤ b. Let random variable X take on the value of a power of 2 in the range [2^a , 2^b ] where each power of 2 has equal probability. Find E[X].If X is a continuous random variable with X ∼ Uniform([0, 2]), what is E[X^3]?Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker’s utility is strictly increasing in the wage rate but strictly decreasing in the chance of being bullied in the workplace. The utility function of the worker is U = wa (1-), where a = 0.5, w is the wage rate and b is the probability that a worker is bullied in a workplace. Suppose for a typical job A, the chance of getting bullied is 0.01, and the wage rate is 100. Which of the following statements is correct? a. If job B offer w = 121 and b = 0.04, the worker would prefer job B to job A b. If job B offer w = 144 and b = 0.09, the worker would prefer job B to job A c. If job B offer w = 80 and b = 0, the worker would prefer job B to job A d. If job B has bullying probablity b = 0.04, the worker is indifferent between job A and job B. Then, the compensating wage differential of job B is at least 25. e. If job B offer w = 80 and b = 0, the worker would be indifferent between job A…
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- The continuous random variable XX has a probability density function (pdf) given by Part(d) Find Var(X), correct to 2 decimal places Part(e) Find the median of X, correct to 2 decimal places.Part(f) Find E(X), correct to 2 decimal placesSuppose it is known from large amounts of historical data that X, the number of cars that arrive ot a specific intersection during a 20 second time period, is characterized by the following discrete probability function f(x) = - x! for x = 0, 1, 2, 3.. Find the probability that in a specific 20-second time period, less than 3 cars arrive at the inter-section. A) 0.14873 0.05949 0.06197 0.15120Let X will be continuous random variable with probability density function as below. f(x) = {4x , (0SEE MORE QUESTIONS