💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The mayor of a small town estimates that 35% of the residents in the town favor the construction of a municipal parking lot. If there are 350 people at a town meeting, find the probability that at least 100 favor construction of the parking lot. Based on your answer, is it likely that 100 or more people would favor the parking lot?

Intro Stats / AP Statistics

Chapter 6

The Normal Distribution

Section 4

The Normal Approximation to the Binomial Distribution

Probability Topics

Jared K.

December 1, 2020

5) Given each probability of a success, what would be the minimum sample size needed to use the normal approximation? a) p= 0.3 ____________________ b) p= 0.85 ____________________ c) p= 0.5

Temple University

Missouri State University

University of North Carolina at Chapel Hill

Piedmont College

Lectures

0:00

06:45

Suppose that in your city …

01:47

Urban voters The voters in…

01:04

The mayor of a small city …

07:21

Census reports for a city …

04:55

It has been estimated that…

02:38

A newspaper reports that t…

01:12

By some estimates, about 1…

01:15

Trees make up about 3.5% o…

01:06

A statistics instructor be…

04:04

00:51

A medical researcher estim…

05:00

A city ballot includes a l…

07:13

Speeding State police beli…

You’re pretty sure that yo…

00:22

give a number that satisfi…

01:02

If a usury law limits inte…

07:42

A small city requires abou…

00:53

The weather reporter on TV…

02:40

02:30

How does the average cost …

okay. For number 22 we have n equals 350 and we have p equals 35%. All right, so our mean it's just end times p, and that's going to give us 1 22.5 Our standard deviation is the square root of end times P times Q, which is just one minus p. And you should get 8.92 rounded to two decimal places. Okay, we want to know the probability that X is greater than or equal to 100 and going to our continuity conversion. You subtract 0.5 and remove the equal sign when X is greater than or equal to a number. Okay, so we subtract 0.5 from 100 which gives us 99.5 okay and remove the equal sign. So that's gonna be our new X value and Z score. It's X minus the mean divided by the standard deviation, and you should get negative 2.58 When you look up that value on the Z score table, you should get 0.0 zero 49 Okay, now, this is if X were less than 99.5. Since we want to know greater than we have to subtract this value from one. So one minus 0.49 gives us 0.9951 and converting that to decimal. You should get 99.51 percent. And they ask, Is this likely? Well, yeah, that's very likely. Okay, it's over 99% chance, so that's very likely to a car.

View More Answers From This Book

Find Another Textbook

Suppose that in your city 37% of the voters are registered as Democrats, 29%…

Urban voters The voters in a large city are 40% white, 40% black, and 20% Hi…

The mayor of a small city has suggested that the state locate a new prison t…

Census reports for a city indicate that 62% of residents classify themselves…

It has been estimated that only about 30% of California residents have adequ…

A newspaper reports that the governor’s approval rating stands at 65%. The a…

By some estimates, about 10% of all males have some color perception defect,…

Trees make up about 3.5% of all plant species found in the United States. So…

A statistics instructor believes that fewer than 20% of Evergreen Valley Col…

A medical researcher estimates the percentage of children exposed to lead-ba…

A city ballot includes a local initiative that would legalize gambling. The …

Speeding State police believe that 70% of the drivers traveling on a major i…

You’re pretty sure that your candidate for class president has about 55% of …

give a number that satisfies the given condition.A whole number greater …

If a usury law limits interest rates to no more than 35%, what would the lik…

A small city requires about 15 $\mathrm{MW}$ of power. Suppose that instead …

The weather reporter on TV makes predictions such as a 25% chance of rain. W…

A small city requires about 15 MW of power. Suppose that instead of using hi…

How does the average cost function illustrate a problem for small businesses…

04:26

Hawaiian Words The Hawaiian alphabet consists of 7 consonants and 5 vowels. …

01:23

What is the standard deviation of the sample means called? What is the formu…

01:03

What formula is used to gain information about an individual data value when…

01:41

Automobile Selection An automobile dealer has 12 small automobiles, 8 mid-si…

00:01

Why is a correction for continuity necessary?

04:46

Senate Partisanship The composition of the Senate of the 114th Congress is

02:51

Selecting Cards Find the probability of getting 2 face cards (king, queen, o…

04:58

Football Team Selection A football team consists of 20 freshmen and 20 sopho…

04:49

Selecting a Committee There are 7 women and 5 men in a department. How many …

05:55

Charity Event Participants There are 16 seniors and 15 juniors in a particul…