Question: A certain continuous random variable has the cumulative-distribution function (a) Find the proper values for A and B. (b) Obtain and plot the pdf f

A certain continuous random variable has the cumulative-distribution function
х <0 0, 3D{ Ах*, 0<x<12 Fx(x) = B. х> 12

(a) Find the proper values for A and B.

(b) Obtain and plot the pdf fX(x).

(c) Compute P(X > 5).

(d) Compute P(4 ‰¤ X < 6).

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a As x the cdf approaches 1 Therefore B 1 Assuming co... View full answer

blur-text-image
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 Principles Communications Systems Questions!

Q:

Three fair coins are tossed simultaneously such that they dont interact. Define a random variable X = 1 if an even number of heads is up and X = 0 otherwise. Plot the cumulative-distribution function...

Q:

For Prob. 203, plot the histogram with f / (Nw) as ordinate and superpose a normal distribution probability density function on the histographic plot.

Q:

The random variable has pdf where u(x) is the unit step. Determine the mean and the variance of the random variable thus defined. fx(x) = ;5(x 5) + lu(x 4) u(x 8)]

Q:

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f ( x ) = 0.075 x +0.2 3 x 5 0 otherwise (a) Graph the pdf. Verify...

Q:

solve the question For the data of Exercise 1.4 on page 13, compute both the mean and the variance in "flexibility" for both company A and company B. Does there appear to be a difference in...

Q:

3. Buses arrive to a bus stop according to an exponential distribution with rate ?= 4 busses/hour. If you arrived at 8:00 am to the bus stop, a) what is the expected time of the next bus? b) Assume...

Q:

Practice Exam 1 1. (19 total points) PROBABILITY CALCULATIONS Let X be a continuous random variable with probability density function f (x) = 3x2 , for 0 x 1 . 2.0 1.0 0.0 f(x) = 3x2 3.0 Here is a...

Q:

i need correct solution The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint. 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assume...

Q:

MACT 3224/317: Assignment N 2 Yahia El Horbaty, Khouzeima Moutanabbir Abd-Elnasser Saad and Noha Youssef Fall 2016 Return this page with your signature Name: Student ID: Section number: I certify...

Q:

solve the question Compute the sample variance and standard deviation for the water absorbency data of Exercise 1.2 on page 13. Reference: Exercise 1.2 According to the journal Chemical Engineering,...

Q:

What is the result of executing the following sequence of instructions MOVLW OH MOVWF 30H MOVWF 90H RAM Locations F30 and 090 will be cleared RAM Locations F30 and F90 will be cleared RAM Locations...

Q:

The shaft S exerts three force components on the die D. Find the magnitude and coordinate direction angles of the resultant force. Force F2 acts within the octantshown F = 200 N 1=300 N = 400 N

Q:

In a UML diagram the first section holds the list of the class's methods. True False

Q:

Graphically portray each of the following: (a) a change in the quantity demanded of Real GDP and (b) a change in aggregate demand.

Q:

Figure P1.58 shows a motion diagram of a car traveling down a street. The camera took one frame every 10 s. A distance scale is provided. Figure P1-58 a. Measure the x-value of the car at each dot....

Q:

Write a short description of a real object for which Figure P1.59 would be a realistic position-versus-time graph. Figure P1.59 x (m) 40+ 30- 20- 10- 0- -1 (s) 30 20 10

Q:

For Questions 1 through 3, interpret the position graph given in each figure by writing a very short story of what is happening. Be creative! Have characters and situations! Simply saying that a car...

Q:

Can anyone look at this case study. I am lost. You are consulting an apartment complex owner on how to renovate a 30 unit apartment building which should last 35 years, when it will need to be either...

Q:

The BMW Company is made in europe It was founded by als since early 1900s had ever since been selling cars. The USA has been one of BMWs most loyal customers since the 1980s. You work as a financial...

Q:

2a. Last year a firm issued 20-year, 8% annual coupon bonds at a par value of $1,000. Suppose that one year later the going market interest rate drops to 6%. What is the new price of the bonds...