The error involved in making a certain measurement is a continuous rv X with the following cdf. x< -2 3 5x 44 1 F(x) : -2s x < 2 1 23x (a) Compute P(X < 0). (b) Compute P(-1 < x < 1). (Round your answer to four decimal places.) (c) Compute P(1.2 < X). (Round your answer to four decimal places.)
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- g is continuous function at q=7, with g(7)= 0. Hence,The error involved in making a certain measurement is a continuous rv X with the following cdf. F(x) = 0 x < −2 1 2 + 3 80 8x − x3 3 −2 ≤ x < 2 1 2 ≤ x (a) Compute P(X < 0).(b) Compute P(−1 < X < 1). (Round your answer to four decimal places.)(c) Compute P(1.3 < X). (Round your answer to four decimal places.)Is g(x) = ln( x2+2 ) uniformly continuous on the interval (−∞,∞)?
- The error involved in making a certain measurement is a continuous rv X with the following cdf. F(x) = 0 x < −2 1 2 + 3 92 9x − x3 3 −2 ≤ x < 2 1 2 ≤ x (a) Compute P(X < 0).(b) Compute P(−1 < X < 1). (Round your answer to four decimal places.)(c) Compute P(1.1 < X). (Round your answer to four decimal places.)(d) Evaluate f(x) by obtaining F '(x). f(x) = F '(x) = (e) Compute .find the t-intervals on which c(t) = (t2, t3 − 4t) is concave up.p = m(1-dt) for d (buisness)
- Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1Suppose that f(x, t) is the probability of getting x suc-cesses during a time interval of length t when (i) the probability of a success during a very small time intervalfrom t to t + t is α · t, (ii) the probability of more thanone success during such a time interval is negligible, and (iii) the probability of a success during such a time inter-val does not depend on what happened prior to time t. (a) Show that under these conditions d[f(x, t)]dt = α[f(x − 1, t) − f(x, t)] (b) Show by direct substitution that a solution of thisinfinite system of differential equations (there is one foreach value of x) is given by the Poisson distribution withλ = αt.If f is continuous on [a, b], then the horizontal line y = k for every k between f (a) and f (b) intersects the graph of y = f (x) at least once.