/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.6.115 Express the聽k聽th percentile, P... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q.6.115 (page 279)

Express thekth percentile, Pk, of a normally distributed variable in terms of its mean, 渭, and standard deviation, 蟽.

Short Answer

Expert verified

Thek th percentile of a normally distributed variable in terms of mean (渭) and standard deviation (蟽) isPk=zk蟽+渭.

Step by step solution

01

Given Information

In standard normal distribution, the k th percentile represents the area under curve that fall below k% of the data.

02

Explanation

The area to the left of the zscore is k100Pk. Let the zscore be zk.

That is, Pz鈮�zk=Pk, Here the zscore is x-渭蟽

Hence,

z=x-渭蟽

zk蟽=Pk-渭

Pk=zk蟽+渭

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.

Find the area under the standard normal curve that lies

a. either to the left of -1or to the right of 2.

b. either to the left of -2.51or to the right of -1.

Express the quartiles,Q1,Q2, and Q3, of a normally distributed variable in terms of its mean, 渭, and standard deviation, 蟽.

27. Lower Limb Surgery. The study "Intrathecal Sufentanil versus Fentanyl for Lower Limb Surgeries - A Randomized Controlled Trial" (Journal of Anesthesiology Clinical Pharmacology, Vol. 27 . Issue 1. pp. 67-73) by P. Motiani et al. compares two different agents, intrathecal Sufentanil and fentanyl, used in enhancing the anesthesiology of patients receiving major lower limb surgery. One variable compared between the two agents was the amount of blood loss during the surgery. Based on the study, we will assume that using fentanyl, the amount of blood loss during major lower limb surgery is normally distributed with mean 283.3mland standard deviation 83.3ml. Find the percentage of patients whose amount of blood loss during major lower limb surgery using fentanyl is

a. Less than 304ml.

b. Between 221and429ml

c. More than450ml.

Obtain the following z-scores

a. z0.20

b.z0.06

Booted Eagles. The rare booted eagle of western Europe was the focus of a study by S. Suarez et al. to identify the optimal nesting habitat for this raptor. According to their paper "Nesting Habitat Selection by Booted Eagles (Hieraaefus pennatus) and Implications for Management" (Journal of Applied Ecology, Vol. 37. pp. 215-223). the distances of such nests to the nearest marshland are normally distributed with a mean 4.66kmand a standard deviation 0.75km. Let Ybe the distance of a randomly selected nest to the nearest marshland.

Determine and interpret

a. P(Y>5).

b. P(3鈮�Y鈮�6).
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.