From past experience, a wheat farmer finds that his annual profit (in dollars) is $89,000 if the summer weather is typical, $54,000 if the weather is unusually dry, and $22,000 if there is a severe storm that destroys much of his crop. Weather bureau records indicate that the probability is 0.68 of typical weather, 0.25 of unusuallly dry weather, and 0.07 of a severe storm. Let X denote the farmer's profit next year. Complete parts a through d. Probability P(x) Weather Profit x $89000 $54000 $22000 0.68 Typical 0.25 Unusually dry 0.07 Severe storm (Type integers or decimals. Do not round.) b. What is the probability that the profit is $54,000 or less? The probability is (Type an integer or a decimal. Do not round.) c. Find the mean of the probability distribution of X. Interpret. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest dollar as needed.) OA. The wheat farmer will earn a profit of Snext year O B. The wheat farmer expects to earn a long-term average profit of $75560 per year.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Topic Video
Question

How would you find $54000 or less? 

From past experience, a wheat farmer finds that his annual profit (in dollars) is $89,000 if the summer weather is typical, $54,000 if the weather is unusually dry, and
$22,000 if there is a severe storm that destroys much of his crop. Weather bureau records indicate that the probability is 0.68 of typical weather, 0.25 of unusuallly dry
weather, and 0.07 of a severe storm. Let X denote the farmer's profit next year. Complete parts a through d.
Probability P(x)
Weather
Profit x
$89000
$54000
$22000
0.68
Typical
0.25
Unusually dry
0.07
Severe storm
(Type integers or decimals. Do not round.)
b. What is the probability that the profit is $54,000 or less?
The probability is
(Type an integer or a decimal. Do not round.)
c. Find the mean of the probability distribution of X. Interpret.
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest dollar as needed.)
OA. The wheat farmer will earn a profit of Snext year
O B. The wheat farmer expects to earn a long-term average profit of $75560 per year.
Transcribed Image Text:From past experience, a wheat farmer finds that his annual profit (in dollars) is $89,000 if the summer weather is typical, $54,000 if the weather is unusually dry, and $22,000 if there is a severe storm that destroys much of his crop. Weather bureau records indicate that the probability is 0.68 of typical weather, 0.25 of unusuallly dry weather, and 0.07 of a severe storm. Let X denote the farmer's profit next year. Complete parts a through d. Probability P(x) Weather Profit x $89000 $54000 $22000 0.68 Typical 0.25 Unusually dry 0.07 Severe storm (Type integers or decimals. Do not round.) b. What is the probability that the profit is $54,000 or less? The probability is (Type an integer or a decimal. Do not round.) c. Find the mean of the probability distribution of X. Interpret. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest dollar as needed.) OA. The wheat farmer will earn a profit of Snext year O B. The wheat farmer expects to earn a long-term average profit of $75560 per year.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning