A continuous random variable X has probability density function given by where c is constant. Find (a)
Question:
A continuous random variable X has probability density function given by
where c is constant. Find
(a) The value of the constant c;
(b) The cumulative distribution function of X;
(c) P(X > 2);
(d) The mean of X;
(e) The standard deviation of X.
Transcribed Image Text:
fx(x) = {x4 0 for x > 1 for x < 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
a b c d ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
You intend to buy a vacation home in seven years and plan to have saved $50,000 for a down payment. How much money would you have to place today into an investment that earns 8% per year to have...
-
The continuous random variable X has probability density function given by f(x) a. Find F(x). b. Find the cumulative distribution of Y = X 2 /4 c. Find the probability density function of Y. 2 I < x...
-
The continuous random variable X has probability density function given by a. Find F(x). b. Find the cumulative distribution of Y= 5 - 2X. c. Find P(Y < 2). d. Find P(-2 < Y < 2). e. Find the...
-
A soil sample was found to have a CEC of 24.0 cmol c kg -1 . Important: note that a cmol is not the same thing as a cmol c for divalent and trivalent ions! A. How many cmol c kg -1 of Al 3+ would be...
-
An electromagnetic standing wave in a certain material has frequency 1.20 x 1010 Hz and speed of propagation 210 x 108 m/s. (a) What is the distance between a nodal plane of B and the closest...
-
Define epicenter.
-
The major result of a financial audit conducted by an independent accountant is the expression of an opinion by the auditor on the fairness of the financial statements. While the auditor's report...
-
A Kirk Limited is trying to determine the value of its ending inventory as of February 28, 2012, the companys year-end. The accountant counted everything that was in the warehouse, as of February 28,...
-
Identify the demand elasticity of the following products. Product #1: Natural Gas (used for heating a home) (0.5 points) - Elastic or Inelastic - Circle, highlight, or bold your answer Product #2:...
-
Find the UCL and apply it to the data in Example 13.33. Example 13.33 Regular samples of fifty are taken from a process making electronic components, for which an acceptable proportion of defectives...
-
If there are 720 personal computers in an office building and they each break down independently with probability 0.002 per working day, use the Poisson approximation to the binomial distribution to...
-
In Exercises 70 through 73, s(t) is the position of a particle moving along a straight line at time t. (a) Find the velocity and acceleration of the particle. (b) Find all times in the given interval...
-
Annual Returns of Beta-sorted Portfolios (Low to High) Macro Data year p1 p2 p3 p4 p5 mkt rf 1964 16.87 19.84 17.56 8.73 12.4 16.08 3.54 1965 8.72 6.98 15.53 24.76 49.06 14.45 3.93 1966 -9.24 -12.18...
-
Using the following Potential Energy Diagram, determine the position at which the particle has the highest speed. (2 points correct answer, 3 points explanation) Energy (J) 5 4 3 2 0+ on 0 2 FIGURE...
-
In the image are three point charges, Q = 18.4 C, Q2 = -38.6 C, and Q3 87.3 C, arranged according to the figure. A fourth point charge is located at point A with a 13.5 C. The charges form a square...
-
The directions of all vectors and magnitudes of Vectors A, B, C, and E are shown in Figure P3.59. Using this information, complete parts a and b. a 70 B = 100 A = 125 Scale: 0 30% C = 50 50 45 D F...
-
An arrow beam of monochromatic x - ray photons is directed from an x - ray tube located 5 0 cm above the surface of a water - filled container 2 0 cm thick. The half value layer for the beam of x -...
-
Cooper Apple Growers (CAG) is a major food cooperative. Suppose CAG begins 2011 with cash of $8 million. CAG estimates cash receipts during 2011 will total $103 million. Planned payments will total...
-
In the circuit shown in Figure 4, a battery supplies a constant voltage of 40 V, the inductance is 2 H, the resistance is 10, and l(0) = 0. (a) Find l(t). (b) Find the current after 0.1s.
-
Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...
-
Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...
-
Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...
-
Your Elastic MindTo survive in an environment of constant stimulation and rapid change, elastic thinking is essential. Fortunately, we already have the ability. We just need to give ourselves the...
-
Select 1 of the following Identity Categories a) College bond bound b) Work bond c) Sex d) Gender e) Race/Ethnicity f) Family Role bound g) Romantic Relationship h) Social Media Presence i) j)...
-
Solitary Confinement Reform Act. 1. Start to identify the issues that Solitary Confinement Reform Act has caused (3-4 issues/problems) a. What is the issue or problem with Solitary Confinement Reform...
Study smarter with the SolutionInn App