/*! 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.4.13 About 32% of students participat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q.4.13 (page 257)

About 32% of students participate in a community volunteer program outside of school. If 30students are selected at random, find the probability that at most 14 of them participate in a community volunteer program outside of school. Use the TI-83+orTI-84 calculator to find the answer.

Short Answer

Expert verified

The required probability that at most 14students out of 30students selected at random participate in a community volunteer programme outside of school is96.95%or0.9695

Step by step solution

01

Content Introduction

Let the random variable X=number of students participate in community volunteer program outside of school out of30students selected at random.

02

Content Explanation

Assuming that X=0,1,2,.........30

The total number of students is n = 30

The randomly selected students to participate in a community volunteer program outside of school is p =0.32

Now,

q=1-pq=1-0.32q=0.68

Then,Xfollows a binomial distribution

Therefore, the required probability is

P(X鈮�14)=鈭�x=014鈥�P(X=x)

Substituting the values we get,

鈭�x=014鈥�nCxpxqn鈭�x=鈭�n鈥�Cx(0.32)x(0.68)30鈭�x

Upon expanding the summation, we get

30C0(0.32)0(0.68)30鈭�0+30C1(0.32)1(0.68)30鈭�1+30C2(0.32)2(0.68)30鈭�2+鈥�鈥�30C14(0.32)14(0.68)30鈭�14

=0.9695=96.5%

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

The state health board is concerned about the amount of fruit available in school lunches. Forty-eight percent of schools in the state offer fruit in their lunches every day. This implies that 52% do not. What would a "success" be in this case?

Complete Table 4.28 using the data provided.

Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly chosen.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many are expected to attend their graduation?

e. Find the probability that 17 or 18 attend.

f. Based on numerical values, would you be surprised if all 22 attended graduation? Justify your answer numerically

A bridge hand is defined as 13 cards selected at random and without replacement from a deck of 52 cards. In a standard deck of cards, there are 13 cards from each suit: hearts, spades, clubs, and diamonds. What is the probability of being dealt a hand that does not contain a heart?

a. What is the group of interest?

b. How many are in the group of interest?

c. How many are in the other group?

d. Let X = _________. What values does X take on?

e. The probability question is P(_______).

f. Find the probability in question.

g. Find the (i) mean and (ii) standard deviation of X

Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in Table 4.34

On average, how many years do you expect it to take for an individual to earn a B.S.?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

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.