A manufacturing company has developed a machine for cleaning carpet that is fuel-efficient because it delivers carpet cleaner so rapidly. Of interest is a random variable Y, the amount in gallons per minute delivered. It is known that the density function is given to the right. Complete parts (a) and (b) below. 2sys6, 4' f(y) = 0, elsewhere (a) Sketch the density function. Choose the correct graph below. A. В. D. Af(y) 1.2- Af(y) 1.2- Af(y) 1.2- Af(y) 12- 0.9- 0.6- 0.9- 0.9- 9- 0.6- 0.6- 6- 0.3- 0.3 0.3 3-

A manufacturing company has developed a machine for cleaning carpet that is fuel-efficient because it delivers carpet cleaner so rapidly. Of interest is a random variable Y, the amount in gallons per minute delivered. It is known that the density function is given to the right. Complete parts (a) and (b) below. 2sys6, 4' f(y) = 0, elsewhere (a) Sketch the density function. Choose the correct graph below. A. В. D. Af(y) 1.2- Af(y) 1.2- Af(y) 1.2- Af(y) 12- 0.9- 0.6- 0.9- 0.9- 9- 0.6- 0.6- 6- 0.3- 0.3 0.3 3-

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 37E

See similar textbooks

Similar questions

A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into the house, lays it on the floor, and then goes to watch T.V. Let W=W(t) be the volume of dirty water that has soaked into the carpet t minutes after the snowball was deposited on the floor. Explain in practical terms what the limiting value of W represents, and tell what has happened physically when this limiting value is reached.
In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway. The data show that the density function of these time gaps was given approximately by p(t)=ae−0.119t where t is the time in seconds and a is a constant.Find the constant a.
Given a function f(y) {cye-2y, 0<= y < ∞ {0, y<0 Find c that makes f(y) a density function Find P(Y>4) Find the distribution function
Below is the probability density function for the distance, in inches, that a dart thrown by your professor lands from the “bullseye” of a dart board. The equation of the curve is: d(x) = 1/4 − 1/32 x a.What’s the probability that a dart will land less that 8 inches from the bullseye? b.What’s the probability that a dart will land between 2 and 4 inches from the bullseye? c.What’s the probability that a dart will land exactly 2 inches from the bullseye? Ex- plain. d.What’s the probability that a dart will land less than 6 inches away from the bullseye?
Given the density function f(x) = 2(1 − x), for 0 < x < 1, = 0, otherwise. Find the standard deviation
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) = 0 x < 0 x2 25 0 ≤ x < 5 1 5 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ X ≤ 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F()]. (e) Obtain the density function f(x). f(x) = F ′(x) = 15x 0 ≤ x < 5 0 otherwise (f) Calculate E(X). (g) Calculate V(X) and ?x. V(X) ?x (h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].
a. Find the 50-th percentile of X. That is to say the value of x such that P (X ≤ x) = 0.5. b. Now say you have two independent jet engines. What is the probability that only one of themwill last more than 12 months before needing to be rebuilt? c. Find the probability density function f(x) by taking the derivative of F(x) with respect to x.
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) = 0 x < 0 x2 16 0 ≤ x < 4 1 4 ≤ x Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 3). (b) Calculate P(2.5 ≤ X ≤ 3). (c) Calculate P(X > 3.5). (d) What is the median checkout duration ? [solve 0.5 = F()]. (e) Obtain the density function f(x). f(x) = F ′(x) = 0 ≤ x < 4 0 otherwise (f) Calculate E(X). (g) Calculate V(X) and ?x. V(X)?x (h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].
The PDF of the two independent random variables X and Y are shown in the image below. Suppose Z=X+Y. Determine the probability density value at z=0, fZ(0). (The answer is not 1/4.)
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. What is P(X ≤ 4)? What is P(4.5 < X)?
The density function is often used as a model for the lengths of life of physical systems. Suppose Y has the Weibull density just given. Find: a) the density function of U = Ym b) E(Yk) for any positive integer k
The joint probability density function of X and Y is given byf(x,y) = x+y 0 < x < 1, 0 < y < 1(a) Find out the marginal probability density function?(b) E(x) = ? (c) E(y) = ? (d) E(xy) = ? (e) Cov(x,y) = ?