Let X denote the amount of time for which a book on 2-hour reserve at a...
Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that Xhas cumulative distribution function, CDF 4 1 2 2 Use this to compute the following a. P(Xs 1) b. P(0.5 XS1.5) d. Determine the median checkout duration. That is find x such that F(x) = 0.5. e. Compute F') to obtain the density function fo) f. Determine E(X) and Var(X). Let...
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. 0x<0 F(x) = x OSX<4 1 45x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X S 2). (b) Calculate P(1.5 SXS 2). (c) Calculate P(x > 2.5). (d) What is the median checkout duration ? (solve 0.5 = F)]. (e) Obtain the density function f(x). f(x)...
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is x<0 x2 FX) OSX<2 25x Use the CDF to obtain the median checkout duration M.
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is 0 x<0 0<x<2 1 2x Use the CDF to obtain the median checkout duration ù.
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. \(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{25} & 0 \leq x<5 \\ 1 & 5 \leq x\end{cases}\)Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 2)(b) Calculate P(1.5 ≤ x ≤ 2).(c) Calculate P(X>2.5).(d) What is the median checkout duration \tilde{μ} ? [solve 0.5=F(\tilde{μ})].(e) Obtain the density function f(x).f(x)=F'(x)=(f)...
Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following:\(F(x)= \begin{cases}0 & x<0 \\ \frac{x^{2}}{4} & 0 \leq x \leq 2 \\ 1 & 2 \leq x\end{cases}\)Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places.)(a) Calculate P(X ≤ 1).(b) Calculate P(0.5 ≤ x ≤ 1).(c) Calculate P(x>1.5).(d) What is the median checkout duration \tilde{μ} ?...
Will rate! Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF, cumulative density function, is the following F(x) - Use the cumulative density function to obtain the following. (If necessary, round your answer to four decimal places) (a) Calculate P(X s 1). (b) Calculate P(0.5 s X s 1). (c) Calculate P(x > 1.5). (d) what is the median checkout duration μ? [.olve o.s-r(p)]. (e) Obtain the probability density...
Problem 3. (12 points) Let X denotes the amount of time a book on two-hour reserve is actually checked out, and suppose the CDF is 2/4 0, if xs0 1, if x 22 (1) Find P(0.5 s X s 1). (2) Find P(x>1.5). (3) What is the mean (i.e., expected value for) checkout duration μ? (4) What is the median checkout duration (5) Obtain the PDF for X.
5. Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) 40 and P(B50. a. Why is it not the case that P(A) P(B) 1? b. Calculate P(A) c. Calculate P(A U B). d. Calculate P(4'n B).
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is RX 6) = {(8 + 13x9 OsXs1 0 otherwise where -1 <0. A random sample of ten students yields data x, -0.92, X, - 0.90, X2 - 0.65, X4 - 0.86, X5 -0.73, X5 -0.94, X7 -0.79, XA-0.45, g - 0.80, X.-0.98. (a) Use the method of moments to obtain an estimator of 8....