/*! 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} Q5 In Exercises 5 and 6, refer to t... [FREE SOLUTION] | 91影视

91影视

In Exercises 5 and 6, refer to the given values, then identify which of the following is most appropriate:discrete randomvariable, continuous random variable, ornot a random variable.

a. Exact weights of the next 100 babies born in the United States

b. Responses to the survey question 鈥淲hich political party do you prefer?鈥

c. Numbers of spins of roulette wheels required to get the number 7

d. Exact foot lengths of humans

e. Shoe sizes (such as 8 or 8陆) of humans

Short Answer

Expert verified

a. Continuous random variable

b. Not a random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

Step by step solution

01

Given information

The choices to classify variables are discrete random variable, continuous random variable, or not a random variable.

02

Define random, discrete, and continuous random variables

A random variable is a variable thatcan be numerically expressed.

A discrete variable is a variablewhose values are finite and can be counted.

A continuous variable is a variable thatcan take infinitely many values and cannot be counted.

03

Identify the variables in three categories

a.

In the provided scenario, the variable is a continuous random variable as theweight of 100 babies can take infinitely many values.

Thus, the variable is a continuous random variable.

b.

In the given scenario, the variable can not be classified as a discrete variable or a continuous random variable because thepreference of a political party cannot be numerically expressed.

Thus, the variable is not a random variable.

c.

The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily.

Thus, the variable is a discrete random variable.

d.

The foot lengths of humans are a continuous random variable as thelength of the foot can take infinitely many values.

Thus, the variable is a continuous random variable.

e.

The variable for the provided statement is a discrete random variable as only two shoe sizes are provided, which are 8 and 812, which can be finite in counts.

Thus, the variable is a discrete random variable.

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

In Exercises 15鈥20, refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children.

Using Probabilities for Significant Events

a. Find the probability of getting exactly 7 girls in 8 births.

b. Find the probability of getting 7 or more girls in 8 births.

c. Which probability is relevant for determining whether 7 is a significantly high number ofgirls in 10 births: the result from part (a) or part (b)?

d. Is 7 a significantly high number of girls in 8 births? Why or why not?

Number of girls x

P(x)

0

0.004

1

0.031

2

0.109

3

0.219

4

0.273

5

0.219

6

0.109

7

0.031

8

0.004

Expected Value in Roulette When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet \(5 on the number 27 or to bet \)5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3. From Example 6, we know that the expected value of the \(5 bet for a single number is -26垄. For the \)5 bet that the outcome is 0, 00, 1, 2, or 3, there is a probability of 5/38 of making a net profit of \(30 and a 33/38 probability of losing \)5.

a. Find the expected value for the \(5 bet that the outcome is 0, 00, 1, 2, or 3.

b. Which bet is better: a \)5 bet on the number 27 or a $5 bet that the outcome is any one of the numbers 0, 00, 1, 2, or 3? Why?

Composite Sampling. Exercises 33 and 34 involve the method of composite sampling, whereby a medical testing laboratory saves time and money by combining blood samples for tests so that only one test is conducted for several people. A combined sample tests positiveif at least one person has the disease. If a combined sample tests positive, then individual blood tests are used to identify the individual with the disease or disorder.

Anemia Based on data from Bloodjournal.org, 10% of women 65 years of age and older have anemia, which is a deficiency of red blood cells. In tests for anemia, blood samples from 8 women 65 and older are combined. What is the probability that the combined sample tests positive for anemia? Is it likely for such a combined sample to test positive?

In Exercises 7鈥14, determine whether a probability

distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

Five males with an X-linked genetic disorder have one child each. The random variable xis the number of children among the five who inherit the X-linked genetic disorder.

x

P(x)

0

0.031

1

0.156

2

0.313

3

0.313

4

0.156

5

0.031

In Exercises 7鈥14, determine whether a probability

distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.

Ted is not particularly creative. He uses the pickupline 鈥淚f I could rearrange the alphabet, I鈥檇 put U and I together.鈥漈he random variable xis the number of women Ted approachesbefore encountering one who reacts positively.

x

P(x)

1

0.001

2

0.009

3

0.030

4

0.060

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.