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In Problems 25 and 26, graph f, and show that f satisfies the first two conditions for a probability density function.
26.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- solve only 4 and 5 plzarrow_forward11. The distribution function of a random variable X is given by -e-x² X>0 otherwise F(x)= Find the probability density function.arrow_forward6. Roughly, speaking, we can use probability density functions to model the likelihood of an event occurring. Formally, a probability density function on (-x, o0) is a function f such that f(r) 20 and (2) = = 1. (a) Determine which of the following functions are probability density functions on the (-x0, 00). fr-1 00 (b) We can also use probability density functions to find the erpected value of the outcomes of the event - if we repeated a probability experiment many times, the expected value will equal the average of the outcomes of the experiment. (e.g. rf(x) dr yields the expected value for a density f(r) with domain on the real numbers.) Find the expected value for one of the valid probability densities above.arrow_forward
- Consider the three functions I. f(x)= {1-x if 0 < x < 2 {0 otherwise II. f(x)= {1+x if 0 < x < 2 {0 otherwise III. f(x)= {(3/27)x^2) if 0< x < 3) {0 otherwise Which of these above functions can be probability distributions? And why?arrow_forwardpart D E needarrow_forward27. If the probability density function of X is 322 0 < * < a s(z) = { a 0, otherwise. then E(X)is 3 A. В. С. D. B. ereviarrow_forward
- B- Show that if the following function be probability function: for 0arrow_forward2. The number of minutes a flight from Phoenix to Tucson is early or late is a random variable whose 1 (36– x*) for-6arrow_forward3. If a random variable has the probability density |2e-2* f (x) = - for x >0 for x <0 Find the probability that it will take on a value between 0.5 and 1.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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