/*! 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.106 Spinning for apples (6,3 or 7.3)... [FREE SOLUTION] | 91影视

91影视

Spinning for apples (6,3 or 7.3) In the "Ask Marilyn" column of Parade magzine, a reader posed this question: "Say 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'll get at least one apple?" Suppose that the wheels spin independently and that the fre 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. Show your method clearly.

(b) Now answer the reader's question. Show your method clearly.

Short Answer

Expert verified

(a) The probability that the slot player gets at least one apple in one pull of the lever is0.67232.

(b) The probability that the slot player gets at least one apple in five pulls of the lever is0.996222

Step by step solution

01

Part (a) Step1 :Given Information 

Given in the question, the slot player receives at least one apple for each lever pull. We have to calculate the probability.

02

Part (a)Step2: Explanation 

PAtleast1apple=1-Pnoapple

Obtain the probability that the slot player gets at least one apple in one pull of the lever:

It is given that, a slot machine has 5wheels, and each wheel has 5symbols (apple, grape, peach, pear, and plum).

The wheel spins independently and the five symbols are equally likely to appear.

The probability that the slot player gets at least one apple in one pull of the lever is obtained as0.67232from the calculation given below:

PAtleast1apple=1-noapple

=1-noappleon5wheels

=1-Pnoappleon1stwheel...Pnoappleon5thwheel

=1-4545454545

=0.67232

Therefore The probability that the slot player gets at least one apple in one pull of the lever is0.67232

03

Part (b) Step 1: Given Information

Given in the question that,in the readers view the lever was pulled 5 times we have to find the probability.

04

Part (b) Step 2:Explanation 

Patleast1apple=1-Pnoapple

In the readers view, the lever was pulled5times.

The reader's question is to compute the probability of getting at least one apple in five pulls of the lever.

The probability that the slot player gets at least one apple in five pulls of the lever is obtained as0.996222from the calculation given below:

P(Atleast1apple)=1-Pnoapple

=1-PNoappleson5wheelsforallthe5pulls

=1-Pnoappleon1stwheel...Pnoappleon5thapple

=1-45454545455

localid="1649260955127" =1-0.003778

=0.996222

The probability that the slot player gets at least one apple in five pulls of the lever is0.996222

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

Radon detectors Radon is a colorless, odorless gas that is naturally released by rocks and soils and may concentrate in tightly closed houses. Because radon is slightly radioactive, there is some concern that it may be a health hazard. Radon detectors are sold to homeowners worried about this risk, but the detectors may be inaccurate. University researchers placed a random sample of 11detectors in a chamber where they were exposed to 105picocuries per liter of radon over 3days. A graph of the radon readings from the 11detectors shows no strong skewness or outliers. The Minitab output below shows the results of a one-sample t interval. Is there significant evidence at the 10%level that the mean reading differs from the true value 105? Give appropriate evidence to support your answer.

鈥淚 can鈥檛 get through my day without coffee鈥 is a common statement from many students. Assumed benefits include keeping students awake during lectures and making them more alert for exams and tests. Students in a statistics class designed an experiment to measure memory retention with and without drinking a cup of coffee one hour before a test. This experiment took place on two different days in the same week (Monday and Wednesday). Ten students were used. Each student received no coffee or one cup of coffee, one hour before the test on a particular day. The test consisted of a series of words flashed on a screen, after which the student had to write down as many of the words as possible. On the other day, each student received a different amount of coffee (none or one cup). (a) One of the researchers suggested that all the subjects in the experiment drink no coffee before Monday鈥檚 test and one cup of coffee before Wednesday鈥檚 test. Explain to the researcher why this is a bad idea and suggest a better method of deciding when each subject receives the two treatments.

(b) The data from the experiment are provided in the table below. Set up and carry out an appropriate test to determine whether there is convincing evidence that drinking coffee improves memory.

For the job satisfaction study described in Section 9.1, the hypotheses are

H0:=0Ha:isnotequalto0

where is the mean difference in job satisfaction scores (self-paced machine-paced) in the population of assembly-line workers at the company. Data from a random sample of 18workers gave x=17and sx=60

Calculate the test statistic. Show your work.

A researcher claims to have found a drug that causes people to grow taller. The coach of the basketball team at Brandon University has expressed interest but demands evidence. Over 1000 Brandon students volunteer to participate in an experiment to test this new drug. Fifty of the volunteers are randomly selected, their heights are measured, and they are given the drug. Two weeks later, their heights are measured again. The power of the test to detect an average increase in height of one inch could be increased by

(a) using only volunteers from the basketball team in the experiment.

(b) using A=0.01 instead of A=0.05.

(c) using A=0.05 instead of A=0.01.

(d) giving the drug to 25 randomly selected students instead of 50.

(e) using a two-sided test instead of a one-sided test.

Better barley Does drying barley seeds in a kiln increase the yield of barley? A famous experiment by William S. Gosset (who discovered the t distributions) investigated this question. Eleven pairs of adjacent plots were marked out in a large field. For each pair, regular barley seeds were planted in one plot and kiln-dried seeds were planted in the other. The following table displays the data on yield (lb/acre).

(a) How can the Random condition be satisfied in this study?

(b) Perform an appropriate test to help answer the research question. Assume that the Random condition is met. What conclusion would you draw?

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.