/*! 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} 5  ³Ý´Ê±·(–4, 1) What is the med... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

³Ý´Ê±·(–4,1)

What is the median?

Short Answer

Expert verified

It is comprehended that the value of the mean, median, and mode are equal to each other when the distribution is normal. Since the value of u is (-4), hence the value of the median will also be (-4)

Step by step solution

01

Given Information

³Ý´Ê±·(–4,1) What is the median

02

Step 2: Explanation

It is shared that,

X ~N(-4,1)

Compare the above random variable X from the general random variable for normal distribution, which is shared as below:

X~N(μ,σ)

Hence, on approximating the above general expression to the provided term, it is clear that the value ofμis (-4).

It is comprehended that the value of the mean, median, and mode are equal to each other when the distribution is normal. Since the value of μis (-4), hence the value of the median will also be (-4)

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 91Ó°ÊÓ!

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

X~N(6,2)

Find the probability that xis between three and nine.

Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean μ=81points and standard deviationσ=15 points.

a. Calculate the first- and third-quartile scores for this exam.

b. The middle 50%of the exam scores are between what two values?

The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ=125and standard deviation σ=14. Systolic blood pressure for males follows a normal distribution.

a. Calculate the z-scores for the male systolic blood pressures 100and 150millimeters.

b. If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 100 and 150 millimeters, what would you say to him?

In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

a. In words, define the random variable X

b.X~

c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.

d. What percent of children spend over ten hours per day unsupervised?

e. Seventy percent of the children spend at least how long per day unsupervised?

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.

What is the z-score for a patient who takes ten days to recover?

a. 1.5

b. 0.2

c. 2.2

d. 7.3

See all solutions

Recommended explanations on Math Textbooks

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.