/*! 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.16 Kids and toys Refer to Exercise ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q.16 (page 355)

Kids and toys Refer to Exercise 4. Calculate and interpret the standard deviation of the random variable X. Show your work.

Short Answer

Expert verified

The number of toys played with is on average 1.3106 toys from the mean.

Step by step solution

01

Given Information

Given in the question that, the probability distribution of the number Xof toys played with by a randomly selected subject is as follows:

02

Explanation

The expected value is computed by adding each possibility by its probability:

E(X)=鈭�xP(x)=0脳0.03+1脳0.16+2脳0.30+3脳0.23+4脳0.17+5脳0.11=2.68

The expected value of the squared variation from the mean is the variance:

蟽2=鈭�(x-渭)2P(x)=(0-2.68)2脳0.03+(1-2.68)2脳0.16+(2-2.68)2脳0.30+(3-2.68)2脳0.23

The standard deviation is the square root of the variance:

蟽=蟽2=1.7176鈮�1.3106

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

To collect information such as passwords, online criminals use 鈥渟poofing鈥� to direct Internet users to fraudulent Web sites. In one study of Internet fraud, students were warned about spoofing and then asked to log in to their university account starting from the university鈥檚 home page. In some cases, the login link led to the genuine dialog box. In others, the box looked genuine but in fact was linked to a different site that recorded the ID and password the student entered. An alert student could detect the fraud by looking at the true Internet address displayed in the browser status bar below the window, but most just entered their ID and password. Is this study an experiment? Why? What are the explanatory and response variables?

Predicting posttest scores(3.2) What is the equation of the linear regression model relating posttest and pretest scores? De铿乶e any variables used.

The length in inches of a cricket chosen at random from a field is a random variable Xwith mean 1.2inches and standard deviation of 0.25 inches. Find the mean and standard deviation of the length Y of a randomly chosen cricket from the field in centimeters. There are 2.54 centimeters in an inch.

88. Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100tiles. There are 42vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability? Justify your answer

The deck of 52cards contains 13hearts. Here is another wager: Draw one card at random from the deck. If the card drawn is a heart, you win 2. Otherwise, you lose 1. Compare this wager (call it Wager 2) with that of the previous exercise (call it Wager 1). Which one should you prefer?

(a) Wager 1, because it has a higher expected value.

(b) Wager 2, because it has a higher expected value.

(c) Wager 1, because it has a higher probability of winning.

(d) Wager 2, because it has a higher probability of winning. (e) Both wagers are equally favorable
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.