/*! 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 110. Spinning for apples (5.3 or 6.3)... [FREE SOLUTION] | 91影视

91影视

Spinning for apples (5.3 or 6.3) In the 鈥淎sk Marilyn鈥 column of Parade magazine, a reader posed this question: 鈥淪ay that a slot machine has five wheels, and each wheel has five symbols: an apple, a grape, a peach, a pear, and a plum. I pull the lever five times. What are the chances that I鈥檒l get at least one apple?鈥 Suppose that the wheels spin independently and that the five symbols are equally likely to appear on each wheel in a given spin.

a. Find the probability that the slot player gets at least one apple in one pull of the lever.

b. Now answer the reader鈥檚 question.

Short Answer

Expert verified

Part (a) The odds of a slot player getting at least one apple in one pull of the lever are 0.67232to1

Part (b) Answer of reader鈥檚 question is 0.996222

Step by step solution

01

Part (a) Step 1: Given information

Each wheel has five symbols.

02

Part (a) Step 2: Calculation

Each of the five symbols has an equal chance of appearing, therefore four and five symbols are not apples.

The probability is,

P(no.ofapple)=favourableoutcomespossibleoutcomes=45=0.8

The multiplication rule says that

P(AandB)=P(A)P(B)

Using the multiplication rule, determine the probability of getting no. apples on five wheels:

P(5no.ofapples)=P(noapple)...P(noapple)=P(noapple)5=0.855=0.32768

Using the complement rule, calculate the likelihood of getting at least one apple on five wheels:

P(notA=1P(A)P(atleast1appleon5wheels)=1P(5noapples)=10.32768=0.67232

The odds of a slot player getting at least one apple in a single pull of the lever are 0.67232to1

03

Part (b) Step 1: Calculation

Each of the five symbols has an equal chance of appearing, therefore four and five symbols are not apples.

The probability is,

P(no.ofapple)=favourableoutcomespossibleoutcomes=45=0.8

According to the rule of multiplication,

P(AandB)=P(A)P(B)

Using the multiplication rule, determine the probability of getting no. apples on five wheels:

P(5no.ofapples)=P(noapple)...P(noapple)=P(noapple)5=0.85=0.32768

Using the complement rule, calculate the likelihood of getting at least one apple on five wheels:

P(notA=1P(A)

After that, the final answer is calculated.

Reader鈥檚 answer is 0.996222

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

Proposition XA political organization wants to determine if there is convincing evidence that a majority of registered voters in a large city favor Proposition X. In an SRS of 1000registered voters, 482favor the proposition. Explain why it isn鈥檛 necessary to carry out a significance test in this setting.

AttitudesThe Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students' attitudes toward school and study habits. Scores range from 0 to 200 . Higher scores indicate better attitudes and study habits. The mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school, on average. She gives the SSHA to an SRS of 45 of the over 1000 students at her college who are at least 30 years of age.

state appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest

A milk processor monitors the number of bacteria per milliliter in raw milk received at the factory. A random sample of 10one-milliliter specimens of milk supplied by one producer gives the following data:

Construct and interpret a 90% confidence interval for the population mean 渭.

Upscale restaurant You are thinking about opening a restaurant and are searching for a good location. From the research you have done, you know that the mean income of those living near the restaurant must be over \(85,000to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of 50people living near one potential site. Based on the mean income of this sample, you will perform a test at the

=0.05 significance level of H0:=\)85,000versus Ha:>\(85,000, where is the true mean income in the population of people who live near the restaurant. The power of the test to detect that =\)86,000is 0.64 Interpret this value.

Home computers Jason reads a report that says 80%of U.S. high school

students have a computer at home. He believes the proportion is smaller than 0.80at his large rural high school. Jason chooses an SRS of 60students and finds that 41have a computer at home. He would like to carry out a test at the =0.05significance level of H0:p=0.80versus Ha:p<0.80, where p= the true

proportion of all students at Jason鈥檚 high school who have a computer at home. Check if the conditions for performing the significance test are met.

See all solutions

Recommended explanations on Math Textbooks

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.