The probability density function of the random annual energy consumption (X ) of an enterprise in (10 8 mathrm kwh ) is f(x) 30(x 2) 2 left 1 2(x 2) (x 2) 2 ight , quad 2 leq x leq 3 (1) Determine the distribution function of (X ) What is the probability that the annual energy consumption exceeds 2...

The Answer is in the image, click to view ...

The probability density function of the random annual energy consumption (X) of an enterprise [in (10^{8} mathrm{kwh})

Question:

The probability density function of the random annual energy consumption $X$ of an enterprise [in $10^{8} \mathrm{kwh}$ ] is

\[f(x)=30(x-2)^{2}\left[1-2(x-2)+(x-2)^{2}\right], \quad 2 \leq x \leq 3\]

(1) Determine the distribution function of $X$. What is the probability that the annual energy consumption exceeds 2.8 ?

(2) What is the mean annual energy consumption?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

See More Books

Question Posted: Apr 26, 2024 04:00 PM

See More Questions

What is a function calling convention and how does it impact the design of the RISC-V instruction set architecture (ISA)? [4 marks] (d) Consider the following C function that computes the greatest...
Explain how to derive a sequence of transformations to achieve the overall effect of performing a 2D rotation about an arbitrary point. Discuss the problems of providing tractable models of...
e SRAM banks be efficiently interconnected so that the cache's access time is constant regardless of which bank is accessed? [4 marks] (d) Why might it be advantageous to be able to manage the amount...
How are externalities reduced within a firm?
The actual and planned data for Underwater University for the Fall term 2016 were as follows: Registration, records, and marketing costs vary by the number of enrolled students, while instructional...
The mix of salary and commission Belleville Fashions sells high-quality womens, mens, and childrens clothing. The store employs a sales staff of 11 full-time employees and 12 part-time employees....
0.8859 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca Z 0 Z .09 .08 .07 .06 .05 .04...
In 2015, Gale and Cathy Alexander hosted an exchange student, Axel Muller, for 9 months. Axel was part of International Student Exchange Programs (a qualified organization). Axel attended tenth grade...
Now we have a rod-shaped space station of length 1336 m and mass 6.24 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that...
The random variable $X$ is normally distributed with mean $\mu=5$ and standard deviation $\sigma=4$. Determine the respective values of $x$ which satisfy \[\begin{gathered} P(X \leq x)=0.5,...
Pedro runs a fruit shop. Mondays he opens his shop with a fresh supply of strawberries of $s$ pounds, which is supposed to satisfy the demand for three days. He knows that for this time span the...
The figure shows a scatterplot of the height of the left seat of a seesaw and the height of the right seat of the same seesaw. Estimate the numerical value of the correlation, and explain the reason...
Can you please explain the pros and cons of financing choices for Ralph Lauren Corp. What are some advantages of debt? What are disadvantages of debt?
What is the position of home equity line of credit (HELOC) in relation to the original lien? What is the position of home equity line of credit (HELOC) in relation to the original lien?
Q1 Hadamard's inequality (i) Let A = (a lan) E Rnxn. Let A = QR = Q(r|rn) be a QR factorization of A. - First, show that det(A)| II ri||2. Then, using the previous part, show that det(A)| II1...
In personal risk evaluation and the decision of how much insurance to purchase, one important consideration is the current and future earnings. In homework assignment 2, you will try to find the...
You are considering undertaking a project that requires a $100,000 initial investment andwill generate a safe cash flow equal to $110,000 in one year. A banker approaches yousaying that her bank is...
The 2-kg ball is thrown at the suspended 20-kg block with a velocity of 4 m/s. If the coefficient of restitution between the ball and the block is e = 0.8, determine the maximum height h to which the...
A manufacturer can sell product 1 at a profit of $20 per unit and product 2 at a profit of $40 per unit. Three units of raw material are needed to manufacture one unit of product 1, and six units of...
How do authors employ unreliable narrators and narrative unreliability as tools to challenge reader perceptions and complicate the process of character interpretation in literature ?
Assume r* = 2%; inflation in year 1 = 2%; inflation in year 2 = 4%; MRP = 0.1%(t). What is the yield on a 2-year Treasury?
Horizon Manufacturing provides you with the following information for the most recent month of operations: Units in beginning inventory 0 Units produced 3,000 Units sold 2,500 Selling price $150 per...

The probability density function of the random annual energy consumption (X) of an enterprise [in (10^{8} mathrm{kwh})

Question:

Step by Step Answer:

Applied Probability And Stochastic Processes

Students also viewed these Business questions