Suppose that a certain country conducted tests of a certain typ 6 and 7 kilotonnes of the explosive in 2013. "The power of the ranges within which the actual power of the tests lies with a pr

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 15PPS
icon
Related questions
Question
Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and another country's defence ministry estimated their power at between 4 and 6 kilotonnes of a certain explosive in 2009 and between
6 and 7 kilotonnes of the explosive in 2013. "The power of the country's bomb tests increased between 2009 and 2013," stated a commentator. Assume that the ranges given by the second country's defence ministry represent the
ranges within which the actual power of the tests lies with a probability of 0.85. Also assume that the defence ministry's estimates are Normally distributed. Complete parts (a) and (b) below.
a) What is the probability that the actual power of the 2009 test was greater than 7 kilotonnes of explosive?
(Round to four decimal places as needed.)
b) What is the probability that the actual power of the test was higher in 2009 than in 2013?
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and another country's defence ministry estimated their power at between 4 and 6 kilotonnes of a certain explosive in 2009 and between 6 and 7 kilotonnes of the explosive in 2013. "The power of the country's bomb tests increased between 2009 and 2013," stated a commentator. Assume that the ranges given by the second country's defence ministry represent the ranges within which the actual power of the tests lies with a probability of 0.85. Also assume that the defence ministry's estimates are Normally distributed. Complete parts (a) and (b) below. a) What is the probability that the actual power of the 2009 test was greater than 7 kilotonnes of explosive? (Round to four decimal places as needed.) b) What is the probability that the actual power of the test was higher in 2009 than in 2013? (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning