Question: Let X be the force applied to a randomly selected beam for 150 hours, and let Y take value 1 or 0 depending on

Let X be the force applied to a randomly selected beam for

Let X be the force applied to a randomly selected beam for 150 hours, and let Y take value 1 or 0 depending on whether the beam fails or not. The random variable X takes the values 4, 5, and 6 (in 100-lb units) with probabilities 0.3, 0.5, and 0.2, respectively. Suppose that the probability of failure when a force of X = x is applied is P(Y = 1|X = x) : (-0.8 + 0.04x)* 1+ (-0.8 + 0.04x)*' x = 4,5,6 a) Tabulate the joint pmf of X and Y. b) Are X and Y independent? c) Find the average force applied to beams that fail (i.e. E(X\Y = 1)), and the average force applied to beams that do not fail (i.e. E(X|Y = 0)).

Step by Step Solution

★★★★★

3.40 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution From given data let x be the force applied to a r... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Let X be a random variable that takes on values between 0 and c. That is, P{0 X c} = 1. Show that Var(X) c2/4 One approach is to first argue that E[X2] cE[X] and then use this inequality to show...

Suppose you are sending out questionnaires to a randomly selected sample of 100 managers. The frame for this study is the membership list of the American Managers Association. The questionnaire...

For a fixed n Z+, let X be the random variable where Pr(X = x) = 1/n, x = 1, 2, 3, . . . , n. (Here X is called a uniform discrete random variable.) Determine E(X) and Var(X).

Two cars, A and B, move along the x-axis. Figure 2.39 is a graph of the positions of A 25 x (m) and B versus time. (a) In motion diagrams (like Figs. 2.13b and 2.14b), show the position, velocity,...

Suppose that 20% of students in the business program read the financial section of the daily newspaper. Develop the probability distribution for x, the number out of three randomly selected students...

Let X be a discrete random variable with values in {0, 1, 2, . . . , n} and moment generating function g(t). Find, in terms of g (t), the generating functions for (a) X. (b) X + 1. (c) 3X. (d) aX + b.

Let X be a continuous random variable with values in [0, 1], uniform density function fX(x) 1 and moment generating function g(t) = (et 1)/t. Find in terms of g(t) the moment generating function for...

Find the exponential Fourier series for the waveform infigure. v(t) 2 -2 -1 0 1 -3 4 3 4 5 t(s) 2

For each of the pairs of sequences in figure use discrete convolution to find the response to the input x[n] of the linear time-invariant system with impulse response h[n] x[n] k[n] x[n] h[n] 2. (b)...

Given here are the data for a dependent variable, y, and independent variables. Use these data to develop a regression model to predict y. Discuss theoutput. 643105180707 X-565465746796 412951829095...

Exactly three years ago, Marianna bought a twenty-year, $25,000 par value bond that has 6.5% coupon rate and semi-annual payments. She paid $20,248.25 for the bond. If the yield to maturity on this...

A small municipal wellfield is to be developed in an unconfined sand aquifer with a hydraulic conductivity of 59 m/d, saturated thickness of 44 m, and a specific yield of 0.2. A service demand of 137...

Which one of the following methods of valuing real estate is similar to the price - to - sales approach to valuing stocks? A ) Perpetuity model B ) Gross income multiplier C ) Discounted cash flow D...

You are drawing inferences about the mean of one population. (a) When should you use the t distributions as the theoretical model rather than the normal curve model? (b) Why is there a different...

Let INFINITE PDA = {M| M is a PDA and L(M) is an infinite language}. Show that INFINITE PDA is decidable.

Let INFINITE DFA = {A| A is a DFA and L(A) is an infinite language}. Show that INFINITE DFA is decidable.

Using any of the recognized search engines (such as Yahoo at http://www.yahoo.com or Google at http://www.google.com/), find information about the Japanese keiretsu or the Korean chaebols as forms of...

The dining philosophers problem is a classic exercise in synchronization (Figure 13.20). Five philosophers sit around a circular table. In the center is a large communal plate of spaghetti. Each...

If triangle ABC and triangle DEF are similar, then their corresponding sides are proportional. Ifa2>0, thena0. Answer the following questions What is the Hypothesis? What is the Conclusion? What is...

9. Let X be the force applied to a randomly selected beam for 150 hours, and let Y take the value 1 or 0 depending on whether the beam fails or not. The random variable X takes the values 4, 5, and 6...

There are three parts to this case. A-1; A-2; and A-3. I need help with A-2 the most (i.e., Ratio Analysis). For all parts of this question use: Excel spreadsheet, describe and explain everything in...

16. Let X be the force (in hundreds of pounds) applied to a randomly selected beam and Y the time to failure of the beam. Suppose that the PDF of X is fX(x) = 1 log(6) log(5) 1 x for 5 x 6 and...

Let X be the force (in hundreds of pounds) applied to a randomly selected beam and Y the time to failure of the beam. Suppose that the PDF of X is and zero otherwise, and that the conditional...

HELP WITH PLAIT CODING LANGUAGE (DrRacket): The "interpreter with function values" plait code that needs to be updated according to part 1, 2 and 3: #lang plait (define-type Value (numV [n : Number])...

Assignment: Brief 2: Portal Corporation Purpose To assess your ability to: define and illustrate a cost object distinguish between direct costs and indirect costs explain variable costs and fixed...