Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q.93 (page 429)

Take a spin An online spinner has two colored regions-blue and yellow. According to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume for now that this claim is correct. Suppose we spin the spinner12 times and let X= the number of times it lands in the blue region. Make a graph of the probability distribution of X. Describe its shape.

Short Answer

Expert verified

The left tail of the graph is much longer than the right tail, indicating that the distribution is skewed to the left.

Step by step solution

01

Given information

Given:

The Probability of success (p)=0.80

The Number of trials (n)=12

02

Simplification

Assume X to be the random variable that reflects the number of times the spinner falls in the blue region, with parameters n=12and p=0.80.

The probability distribution can be expressed as follows:

P(X=r)=12Cr×(0.80)r×(1-0.80)12-r

Graph: The probability distribution of X can be represented as follows:


The left tail of the graph is much longer than the right tail, indicating that the distribution is skewed to the left.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Skee Ball Ana is a dedicated Skee Ball player (see photo in Exercise 4) who always rolls for the 50-point slot. The probability distribution of Ana’s score X on a randomly selected roll of the ball is shown here. From Exercise 8, μX=23.8 . Calculate and interpret the standard deviation of X.

If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times?

a. (0.25)5

b. (0.75)4

c. (0.75)5

d. (0.75)4(0.25)

e.(51)(0.75)4(0.25)51(0.75)4(0.25)

Using Benford's law According to Benford's law (Exercise 15, page 377), the probability that the first digit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097. Suppose you examine randomly selected invoices from a vendor until you find one whose amount begins with an 8 or a 9 .

a. How many invoices do you expect to examine before finding one that begins with an 8 or 9 ?

b. In fact, the first invoice you find with an amount that starts with an 8 or 9 is the 40 th invoice. Does this result provide convincing evidence that the invoice amounts are not genuine? Calculate an appropriate probability to support your answer.

Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable.

a. Shuffle a standard deck of playing cards well. Then turn over one card at a time from the top of the deck until you get an ace.

b. Billy likes to play cornhole in his free time. On any toss, he has about a 20%chance of getting a bag into the hole. As a challenge one day, Billy decides to keep tossing bags until he gets one in the hole.

Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that's supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13ounces and standard deviation 0.02ounces. If Ken brushes his teeth six times during the trip, what's the probability that he'll use all the toothpaste in the tube? Follow the four-step process.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation
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.

Sign-up for free