Chapter 5, Probability Video Solutions, Statistics Learning From Data

Problem 1

The article "Scrambled Statistics: What Are the Chances of Finding Multi-Yolk Eggs?" (Significance [August 2016]: 11) gives the probability of a double-yolk egg as 0.001 .
a. Give a relative frequency interpretation of this probability.
b. If 5000 eggs were randomly selected, about how many double-yolk eggs would you expect to find?

Matthias Wuest

Numerade Educator

01:27

Problem 2

An airline reports that for a particular flight operating daily between Phoenix and Atlanta, the probability of an on-time arrival is 0.86. Give a relative frequency interpretation of this probability.

Harsh Gadhiya

Numerade Educator

01:38

Problem 3

For a monthly subscription fee, a video download site allows people to download and watch up to five movies per month. Based on past download histories, the following table gives the estimated probabilities that a randomly selected subscriber will download 0,1,2,3,4 or 5 movies in a particular month.
$$
\begin{array}{|lcccccc|}
\hline \text { Number of downloads } & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline \text { Estimated probability } & 0.03 & 0.45 & 0.25 & 0.10 & 0.10 & 0.07 \\
\hline
\end{array}
$$
If a subscriber is selected at random, what is the estimated probability that this subscriber downloads
a. three or fewer movies?
b. at most three movies?
c. four or more movies?
d. zero or one movie?
e. more than one movie?

Lynn Larson

Numerade Educator

01:12

Problem 4

What does it mean to say that the probability that a coin toss will land head side up is $0.5 ?$

Harsh Gadhiya

Numerade Educator

00:46

Problem 5

In a particular state, automobiles that are more than 10 years old must pass a vehicle inspection in order to be registered. This state reports the probability that a car more than 10 years old will fail the vehicle inspection is 0.09 . Give a relative frequency interpretation of this probability.

Maxime Rossetti

Numerade Educator

01:00

Problem 6

A bookstore sells books in several formats- hardcover, paperback, digital, and audio.
Based on past sales, the table below gives the estimated probabilities that a randomly selected purchase will be of particular types.
$$
\begin{array}{|cccc|}
\hline \text { Hardcover } & \text { Paperback } & \text { Digital } & \text { Audio } \\
\hline 0.16 & 0.36 & 0.40 & 0.08 \\
\hline
\end{array}
$$
If a purchase is selected at random, what is the probability that this purchase is for a book that is
a. digital or audio?
b. not digital?
c. a printed book?

Tony Wilson

Numerade Educator

01:14

Problem 7

If you were to roll a fair die 1000 times, about how many sixes do you think you would observe? What is the probability of observing a six when a fair die is rolled?

Bryan Lynn

Numerade Educator

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Problem 8

The probability of getting a king when a card is selected at random from a standard deck of 52 playing cards is $\frac{1}{13}$.
a. Give a relative frequency interpretation of this probability.
b. Express the probability as a decimal rounded to three decimal places. Then complete the following statement:
If a card is selected at random, I would expect to see a king about times in 1000 .

Rashmi Sinha

Numerade Educator

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Problem 9

At a particular college, students have several options for purchasing textbooks. The options and the proportion of students choosing each option are shown in the accompanying table.
If a student at this college is selected at random, what is the probability that the student
a. purchased all print books online?
b. purchased all print books?
c. purchased some e-books or all e-books?
d. did not purchase all print books from the campus bookstore?

Rashmi Sinha

Numerade Educator

00:58

Problem 10

Give a relative frequency interpretation for each probability calculated in the previous exercise.

Prashant Bana

Numerade Educator