Suppose that certain bolts have length L 200 X mm, where X is a random variable with density f(x) (1 x2) if 1 x 1 and 0 otherwise Determine c so that with a probability of 95 a bolt will have any length between 200 c and 200 c

Question: Suppose that certain bolts have length L = 200 + X mm, where X is a random variable with density f(x) = (1 x2)

Suppose that certain bolts have length L = 200 + X mm, where X is a random variable with density f(x) = ¾(1 – x2) if – 1 < x < 1 and 0 otherwise. Determine c so that with a probability of 95% a bolt will have any length between 200 – c and 200 + c.

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

From the given distribu... 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

Document Format (1 attachment)

1-M-C-P-T (29).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose X is a random variable with an exponential PDF of the form fX(x) = 2e 2xu(x). A new random variable is created according to the transformation Y = 1 X. (a) Find the domain for X and Y. (b)...

Suppose that X is a random variable with mean and variance 2, and that the fourth moment of X is finite. Show that E[(X )4] 4.

Suppose that X is a random variable with m.g.f. (t), mean , and variance 2; and let c(t) = log[(t)]. Prove that c'(0) = and c''(0) = 2.

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

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...

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...

4. A probability density function is a function, ffx} , for which the probability that another quantity; X . is between a and b is equal to the area under y =f{_t'] for a 5x5 b. In statistics, X is...

1! 3i I need help with these circled answers. (1 point) Soores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with p = 101 and a = 24....

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...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Explain the term Supply chain management and answer the following questions: 1. What do you understand about the supply chain in retail? 2. To what extent can retailers use logistics and distribution...

Use the information in RE9-8. Calculate Uncle Butchs Hunting Supply Shops ending inventory using the retail inventory method under the LIFO cost flow assumption. In RE9-8, Uncle Butchs Hunting Supply...

14.30 A defense contractor is interested in studying an inspection process to detect failure or fatigue of transformer parts. Three levels of inspections are used by three randomly chosen inspectors....

Ayurveda is a fom or medcine practiced in India. In one study, 20% of U.S.- and Indian-manufactured Ayurvedic medicines purchased through the Internet in 2005 contained detectable levels of several...

Use the room temperature (25 C) thermodynamic equilibria and data listed below to plot the E-pH diagram for the Cd-H;0 system in the presence of 10 activity (10 m) of dissolved cadmium species. Use a...

Predict the ground-state electron configurations of Si, Ge, and Pb.

What kind of critical point does y' = Ay have if A has the eigenvalues -4 and 2

Each of the two tanks contains 200 gal of water, in which initially 100 lb (Tank T 1 ) and 200 lb (Tank T 2 ) of fertilizer are dissolved. The inflow, circulation, and outflow are shown in Fig. 88....

Find a general solution. Show the details of your work. y' 1 = 2y 1 + 2y 2 + e t y' 2 = -2y 1 - 3y 2 + e t

Find a general solution. Show the details of your work. y' 1 = y 1 + y 2 + sin t y' 2 = 4y 1 + y 2

Tank T 1 in Fig. 101 initially contains 200 gal of water in which 160 lb of salt are dissolved. Tank T 2 initially contains 100 gal of pure water. Liquid is pumped through the system as indicated,...

Based on the following table, calculate the expected return and standard deviation for stock A State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A 04 17 Stock B...