BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A local hardware store has a “Savings Wheel” at the checkout. Customers get to spin the wheel and. when the wheel stops, a pointer indicates how much they will save. The wheel can stop in any one of 50 sections. Of the sections, 10 produce 0% off, 20 sections are for 10%off, 10 sections for 20%, 5 for 30%, 3 for 40%, 1 for 50%, and 1 for 100% off. Assuming that all 50 sections are equally likely,

  1. a. What is the probability that a customer's purchase will be free (100% off)?
  2. b. What is the probability that a customer will get no savings from the wheel (0% off)?
  3. c. What is the probability that a customer will get at least 20% off?

(a)

To determine

To find: The probability that a customer’s purchase will be free (100% off).

Answer

The probability that a customer’s purchase will be free (100% off) is 0.02.

Explanation

Given info:

The information is based on the “savings wheel”. Customer can get to spin the wheel after it stops, a pointer indicates how much they will save.

The wheel have 50 sections. In that 10 produce 0% off, 20 produce 10% off, 10 produce 20% off, 5 produce 30% off, 3 produce 40% off, 1 produce 50% off and 1 produce 100% off.

Calculation:

The formula for probability is,

p(A)= Number of outcomes classified as A      Total number of possible outcomes

The probability that a customer’s purchase will be free (100% off) is,

p(A)=(The number of sections that a customer's purchase will be free (100% off ))  Total number of sections =150  =0.02

Thus, the probability value is 0.02.

(b)

To determine

To find: The probability that the number of sections that a customer’s will get no savings from the wheel (0 % off).

Answer

The probability that the number of sections that a customer’s will get no savings from the wheel (0 % off) is 0.2.

Explanation

Calculation:

Calculating the probability that the number of sections that a customer’s will get no savings from the wheel (0 % off) is,

p(B)=(The number of sections that a customer's will get no savings from the wheel (0% off))  Total number of sections =1050=15=0.2

Thus, the probability is 0.2.

(c)

To determine

To find: The probability that a customer will get at least 20% off.

Answer

The probability that a customer will get at least 20% off is 0.40.

Explanation

Calculation:

The probability that a customer will get at least 20% off is,

p(X20%)=p(X=20%)+p(X=30%)+p(X=40%)                       +p(X=50%)+p(X=100%)

Calculating the individual probability values:

For 20:

p(X=20%)=(The number of sections that a customer's purchase will be 20% off)  Total number of sections      =1050

For 30:

p(X=30%)=(The number of sections that   a customer's purchase will be 30% off)  Total number of sections =550

For 40:

p(X=40%)=(The number of sections that a customer's purchase will be 40% off)  Total number of sections =350

For 50:

p(X=50%)=(The number of sections thata customer's purchase will be 50% off)  Total number of sections =150

For 100:

p(X=100%)=(The number of sections that   a customer's purchase will be 100% off)  Total number of sections =150

Therefore, the required probability is,

p(X20%)=1050+550+350+150+150=2050=0.40

Thus, the probability value is 0.40.

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Find the mean, median, and mode for the following scores; 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

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

Price of Ivory According to the World Wildlife Fluid, a group in the forefront of the fight against illegal ivo...

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

Simplify each power of i. i17

Trigonometry (MindTap Course List)

In problems 63-73, factor each expression completely. 64.

Mathematical Applications for the Management, Life, and Social Sciences

The point P graphed at the right has spherical coordinates:

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: If a number p is in the interval of convergence of then so is the number .

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

Explain how inter-rater reliability is established.

Research Methods for the Behavioral Sciences (MindTap Course List)

Find the restrictions on x, if any. 3x+7=4.

College Algebra (MindTap Course List)

Find all the answers to your study problems with bartleby.
Textbook solutions plus Q&A. Get As ASAP arrow_forward