Math

StatisticsEssentials Of StatisticsS O C The average number of dropouts for a school district has been 305 per year with a standard deviation of 50. What is the probability that the number of dropouts next year will be a. less than 250? __________ b. less than 300? ________ c. more than 350? _____________ d. more than 400? ____________ e. between 250 and 350? ___________ f. between 300 and 350? ___________ g. between 350 and 375? ___________BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 5, Problem 5.10P

Textbook Problem

537 views

**a.** less than 250? __________

**b.** less than 300? ________

**c.** more than 350? _____________

**d.** more than 400? ____________

**e.** between 250 and 350? ___________

**f.** between 300 and 350? ___________

**g.** between 350 and 375? ___________

Expert Solution

To determine

a)

**To find:**

The probability that the number of students next year will be less than 250.

**Given:**

The average number of dropouts for a school district has been 305 per year with a standard deviation of 50.

**Description:**

The normal curve is symmetrical and its mean is equal to the median. The area below and above the mean is 50% or 0.05.

**Formula used:**

Let the data values be denoted by

The formula to calculate the

Where,

**Calculation:**

Given that the mean is 305 and standard deviation is 50.

The number of dropout is 250

Expert Solution

To determine

b)

**To find:**

The probability that the number of students next year will be less than 300.

Expert Solution

To determine

c)

**To find:**

The probability that the number of students next year will be more than 350.

Expert Solution

To determine

d)

**To find:**

The probability that the number of students next year will be more than 400.

Expert Solution

To determine

e)

**To find:**

The probability that the number of students next year will be between 250 and 350.

Expert Solution

To determine

f)

**To find:**

The probability that the number of students next year will be between 300 and 350.

Expert Solution

To determine

g)

**To find:**

The probability that the number of students next year will be between 350 and 375.

Essentials Of Statistics

Show all chapter solutions

Ch. 5 - Scores on a quiz were normally distributed and had...Ch. 5 - Assume that the distribution of scores on a...Ch. 5 - The senior class has been given a comprehensive...Ch. 5 - For a normal distribution where the mean is 50 and...Ch. 5 - At St. Algebra College, the 200 freshmen enrolled...Ch. 5 - If a distribution of test scores is normal, with a...Ch. 5 - SOC A scale measuring prejudice has been...Ch. 5 - SOC On the scale mentioned in problem 5.7, if a...Ch. 5 - For a math test on which the mean score was 59 and...Ch. 5 - SOC The average number of dropouts for a school...

Find more solutions based on key concepts

Show solutions What is the value of (X + 1) for the following scores: 0, 1, 4, 2? a. 8 b. 9 c. 11 d. 16

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Graph the first several partial sums sn(x) of the series n=0xn, together with the sum function f(x) = 1/(1 x),...

Multivariable Calculus

Finding Limits Numerically In Exercises 89-92, complete the table and use the result to estimate the limit. Use...

Calculus: An Applied Approach (MindTap Course List)

Add or Subtract Perform the addition or subtraction and simplify. 41. 1x+5+2x3

Precalculus: Mathematics for Calculus (Standalone Book)

Solve the equations in Exercises 126. x43x3=0

Applied Calculus

Transformation of a Function In Exercises 47-50, the graph shows one of the six basic Functions on page 22 and ...

Calculus: Early Transcendental Functions

Use the diagram to show that if f is concave upward on [a, b], then favef(a+b2)

Calculus: Early Transcendentals

Solve each equation in Exercises 107120 for x, rounding your answer to four significant digits where necessary....

Finite Mathematics and Applied Calculus (MindTap Course List)

Write the sum in expanded form. 6. k=58xk

Single Variable Calculus: Early Transcendentals, Volume I

A population with a mean of = 8 has SX = 40. How many scores are in the population?

Statistics for The Behavioral Sciences (MindTap Course List)

Evaluate the integral. tan1xx2dx

Calculus (MindTap Course List)

In each of the following problems, the binomial distribution will be used. Answers may vary slightly depending ...

Understanding Basic Statistics

The article A Probabilistic Model of Fracture in Concrete and Size Effects on Fracture Toughness(Magazine of Co...

Probability and Statistics for Engineering and the Sciences

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. x4x+1...

Finite Mathematics

THE NARROWING Gender Gap Since the founding of the Equal Employment Opportunity Commission and the passage of e...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Sketch the graph of a function f that is continuous except for the stated discontinuity. 5. Discontinuous at 2,...

Single Variable Calculus

In Problems 7-12, find .

Mathematical Applications for the Management, Life, and Social Sciences

An airplane has leveled off is flying horizontally at an altitude of 12, 000 feet. Its pilot can see each of tw...

Elementary Geometry For College Students, 7e

For Problems 96-104, write a numerical statement to represent the problem. Then simplify the numerical expressi...

Intermediate Algebra

23. As a part of his retirement planning strategy. Mark Woodson deposits $125 each payday into an investment ac...

Contemporary Mathematics for Business & Consumers

Denny purchased a new truck for $45,500. He received a rebate of $4500 and paid a sales tax of 6.5% after the r...

Elementary Technical Mathematics

Use the recursive definition for Fibonacci numbers and deductive reasoning to verify that, for Fibonacci number...

Mathematical Excursions (MindTap Course List)

Graph the curve and visually estimate its length. Then use your calculator to find the length correct to four d...

Single Variable Calculus: Early Transcendentals

True or false
Label each of the following statement as either true or false.
Let and be integers, not both zer...

Elements Of Modern Algebra

CONCEPT CHECK Mean Value Theorem In your own words, describe the Mean Value Theorem.

Calculus of a Single Variable

Factor completely. x36

Trigonometry (MindTap Course List)

Differential Equation In Exercises 35-38, find the general solution of the differential equation. y=arctanx2

Calculus: Early Transcendental Functions (MindTap Course List)

Evaluate .

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

How many subrectangles of [0, 4] × [3, 8] are determined by the partition with Δx = 2 and Δy = 1?
6
8
10
20

Study Guide for Stewart's Multivariable Calculus, 8th

OPINION POLLS A poll was conducted among 500 registered voters in a certain area regarding their position on a ...

Finite Mathematics for the Managerial, Life, and Social Sciences

One base of a trapezoid has a length of 12.3 cm and the length of the other base is 17.5 cm. Find the length of...

Elementary Geometry for College Students

Investors commonly use the standard deviation of the monthly percentage return for a mutual fund as a measure o...

Statistics for Business & Economics, Revised (MindTap Course List)

Some colleges now allow students to pay their tuition using a credit card. The report Credit Card Tuition Payme...

Introduction To Statistics And Data Analysis

Describe quota sampling, recognize examples of this technique in research reports, and explain why it is used.

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain the difference among the terms research strategy, research design, and research procedure.

Research Methods for the Behavioral Sciences (MindTap Course List)

In August 2012, tropical storm Isaac formed in the Caribbean and was headed for the Gulf of Mexico. There was a...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Volume The volume of a right-circular cone of radius r and height h is represented by V=13r2h. (a) Find the rat...

Calculus (MindTap Course List)

Resistance The total resistance R (in ohms) of two resistors connected in parallel is given by 1R=1R1+1R2 Appro...

Multivariable Calculus

Find the required term in each binomial expansion. (x2+y)4; 3rd term

College Algebra (MindTap Course List)

Solve the following exercises. Where necessary, round the answers to 2 decimal places unless otherwise specifie...

Mathematics For Machine Technology

Quality Comparison Across Production Shifts. Arconic Inc. is a producer of aluminum components for the avionics...

Essentials Of Statistics For Business & Economics

The Professional Golfers’ Association of America (PGA) collects a wide variety of performance data for members ...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Reminder Round all answers to two decimal places unless otherwise indicated. Logistic Population Growth The gra...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Exercise 19-24, find the monthly payment that will yield the given future value. 183,000 at 814 interest for...

Mathematics: A Practical Odyssey

In 43-50, the following definitions are used: A relation on a set A is defined to be Irreflexive if, and only i...

Discrete Mathematics With Applications

At a college. 72°o of courses have final exams and .16°o of courses require research papers. Suppose that 32% o...

Introductory Statistics

Are the following functions one-to-one over their domain of existence? Does the function have an inverse? If so...

Calculus Volume 1

Suppose that a particle moves along a straight line with velocity v(t)=42t , where 0t2 (in meters per second). ...

Calculus Volume 2

The second term of a geometric sequence is 14, and the sixth term is 224. Find the nth term. (Assume that the t...

College Algebra

In Problems 2730 express the solution of the given initial-value problem in terms of an integral-defined functi...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)