According to a survey, 61% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) Find the probability that exactly 40 of the murders were cleared. (b) Find the probability that between 35 and 37 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 19 of the murders were cleared? Why or why not?
According to a survey, 61% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) Find the probability that exactly 40 of the murders were cleared. (b) Find the probability that between 35 and 37 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 19 of the murders were cleared? Why or why not?
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
Related questions
Question
According to a survey,
61%
of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded.(a) Find the probability that exactly
40
of the murders were cleared.(b) Find the probability that between
35
and
37
of the murders, inclusive, were cleared.(c) Would it be unusual if fewer than
19
of the murders were cleared? Why or why not?(a) The probability that exactly
.
40
of the murders were cleared is
(Round to four decimal places as needed.)
(b) The probability that between
.
35
and
37
of the murders, inclusive, were cleared is
(Round to four decimal places as needed.)
(c) Would it be unusual if fewer than
19
of the murders were cleared? Why or why not?No, it would not be unusual because
19
is less than
μ−2σ.
Yes, it would be unusual because
19
is between
μ−2σ
and
μ+2σ.
Yes, it would be unusual because
19
is less than
μ−2σ.
No, it would not be unusual because
19
is between
μ−2σ
and
μ+2σ.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
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…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning