Solution Found!

Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 4.6 / Problem 87E

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Change Question

Assume that a random variable is normally distributed with

Chapter 4, Problem 87E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Assume that a random variable is normally distributed with a mean of 24 and a standard deviation of 2. Consider an interval of length one unit that starts at the value a so that the interval is [a, a + 1]. For what value of a is the probability of the interval greatest? Does the standard deviation affect that choice of interval?

Questions & Answers

QUESTION:

Assume that a random variable is normally distributed with a mean of 24 and a standard deviation of 2. Consider an interval of length one unit that starts at the value a so that the interval is [a, a + 1]. For what value of a is the probability of the interval greatest? Does the standard deviation affect that choice of interval?

ANSWER:

Step 1 of 2

Given,

The mean,

The standard deviations,

Consider X as a normal random variable with mean 24 and standard deviation 2, the random variable

is a normal random variable with E(Z) = 0 and V(Z) = 1. That is, Z is a standard normal random variable.

Study Tools You Might Need

Chapter: 5 Problem: 86P

Introductory Chemistry 5
Arrange the compounds in order of decreasing formula mass. \(\mathrm{WO}_{2}\), \(\mathrm{Rb}_{2} \mathrm{SO}_{4}\), \(\mathrm{~Pb}\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)_{2}\), RbI Equation Transcript

Chapter: 13 Problem: 65P

Principles of General Chemistry 2
Problem 65P Disulfur decafluoride is intermediate in reactivity between SF4 and SF6. It disproportionates at 150C to these monosulfur fluorides. Write a balanced equation for this reaction, and give the oxidation state of S in each compound.

Chapter: 0 Problem: 3

Hole's Essentials of Human Anatomy & Physiology 11
Functions of the skin include . (p. 117) a. retarding water loss b. body temperature regulation c. sensory reception d. excretion e. all of the above

Chapter: 6 Problem: 4

Human Anatomy & Physiology 9
Sites of hematopoiesis include all but (a) red marrow cavities of spongy bone, (b) the diploe of flat bones, (c) medullary cavities in bones of infants, (d) medullary cavities in bones of a healthy adult.

Chapter: 3 Problem: 4

Macroeconomics 22nd
What are the determinants of supply? What happens to the supply curve when any of these determinants change? Distinguish between a change in supply and a change in the quantity supplied, noting the cause(s) of each.

Chapter: 6 Problem: 8

Urban Economics 8
Consider a monocentric city where the cost of commuting is $40 per mile per month. A household located eight miles from the city center occupies a dwell- ing with 1,000 square feet at a monthly rent of $600. Nonland cost per dwelling is $250, and there are 10 houses per hectare. a. The price of housi

Chapter: 4 Problem: 5

Biology for AP Courses
Who was the first to clearly identify and name individual cells? a. Anton van Leeuwenhoek. b. Matthias Schleiden c. Robert Hooke d. Theodore Schwann

Chapter: 9 Problem: 9.28

Chemistry for today : general, organic, and biochemistry 9
Calculate the molar concentration of \(\mathrm{OH}^{-}\) in water solutions with the following \(\mathrm{H}_{3} \mathrm{O}^{+}\) molar concentrations: a. 0.044 b. \(1.3 \times 10^{-4}\) c. 0.0087 d. \(7.9 \times 10^{-10}\) e. \(3.3 \times 10^{-2}\)

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account