Question: The diameter of an electric cable, say X, is assumed to be a continuous random variable with pdf: f(a) = 6x (1 a) for

The diameter of an electric cable, say X, is assumed to be

The diameter of an electric cable, say X, is assumed to be a continuous random variable with pdf: f(a) = 6x (1 a) for 0 b) C) Compute P(X < 1/2|1/3 < X < 2/3)

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

The quantitative methods department head at a major midwestern university will be scheduling faculty to teach courses during the coming autumn term. Four core courses need to be covered. The four...

The diameter of an electric cable, say X, is assumed to be a continuous random variable with pdf: a) Check that the above is a pdf and sketch it b) Determine a number b such that c) Compute

Let A be a continuous random variable with pdf f(x) and cdf F(x). For a fixed number xo, define the function Prove that g(x) is a pdf. (Assume that F(xo) f(2)/1- F(zo)] 9(=) = {e)/t I

The cumulative probabilities for a continuous random variable X are P(X 10) = 0.42 and P(X 20) = 0.66. Calculate the following probabilities. a. P(X X > 20)

4.16. The diameter on an electric cable, say X, is assumed to be a continuous random variable with pdf f(x) = 6x(1-x), 0 x 1. (a) Check that the above is a pdf and sketch it. (b) Obtain an expression...

Show steps 3. The diameter of an electric cable, say X, Is assumed to be a continuous random variable with pdf f(x) = 6x(1-x) for OSx51. a) Check that the above is a pof and sketch it. b) Determine s...

This dataset is originally from the National Institute of Diabetes and Digestive and Kidney Diseases. The objective of the dataset is to diagnostically predict whether or not a patient has diabetes,...

Q7) The diameter of an electric cable, say X, is assumed to be a continuous random variable with probability density function given by f(x) = {kx (1-x), 0 b). (iii) Find the mean and variance of the...

5.7 A company that manufactures magnetic membrane switches is investigating two production options that have the estimated cash flows shown ($1 mil- lion units). Which one should be selected on the...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

BlackBean Ltd has issued bonds with 25 years to maturity and a face value of $1000. The semi-annual coupon payment will be 5% p.a. If the required rate of return is 7% p.a., what is the intrinsic...

In alcohol fermentation, yeast converts glucose to ethanol and carbon dioxide: C6H12O6(s) 2C2H5OH(l) + 2CO2(g) If 5.97 g of glucose are reacted and 1.44 L of CO2 gas are collected at 293 K and 0.984...

Multiple Choice 5 points A barrier to developing a quality culture is: Cross - functional collaboration Employee engagement Recognition programs Resistance to change

A $92,000 mortgage has a 30-year term and a 9% nominal interest rate. (a) What is the monthly payment? (b) After the first year of payments, what fraction of the loan has been repaid? (c) After the...

An alternative scheme for representing measures involves applying the units function to an abstract length object. In such a scheme, one would write Inches (Length (L1)) = 1.5. How does this scheme...

In a photocell, ultraviolet (UV) light provides enough energy to some electrons in barium metal to eject them from a surface at high speed. See Fig. 17-33. To measure the maximum energy of the...

Replace the three forces acting on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and the point P(x, y) where its line of action intersects the plate....

One end of a solid cylindrical copper rod 0.200 m long is maintained at a temperature of 20.00 K The other end is blackened and exposed to thermal radiation from surrounding walls at 500.0 K the...

6th grade level irections: Read and respond to the questions below to prepare for morrow. A9399 1. Which statement identifies the central idea of the text? a. Lange's photography tended to be sad, as...

please help this probability and statistics question with clear steps and also expatiation, thankkk so much 7. The diameter of an electric cable follows N(0.80, 0.042).+ [a] What is the probability...

A wire 1.0 m long and 2.0 cm in diameter creates an electric field of 5.0 x 10^6 N / C. Calculate the electric charge if it was derived by Gauss's law that the electric field (E). E = Q / 40Lr.

5-180 Determine the power input for a compressor that compresses helium from 150 kPa and 20C to 400 kPa and 200C. Helium enters this compressor through a 0.1-m2 pipe at a velocity of 15 m/s. 5-181...

ATTEMPT ALL QUESTIONS. BE SURE TO ANSWER A body with mass m = 1 2 kg is attached to the end of a spring that is stretched 2 m by a force of 100 N. Furthermore, there is also attached a dashpot4 that...

The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.91 inch?

9.2. The diameter of an electric cable is normally distributed with mean 0.8 and variance 0.0004. What is the probability that the diameter will exceed 0.81 inch?