5. The number of trucks that arrive at a loading dock in t hours follow a Poisson distribution. On the average , three trucks arrive at the dock each hour. a) What is the probability that 2 trucks will arrive at the dock in 15 minutes? b) Suppose a truck has just arrived. What is the probability that at least 45 minutes will lapse until the next truck arrives? c) Suppose a truck has just arrived. What is the probability that at most 1.5 hours will lapse until the next 3 trucks arrive?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Question

Please help me with the following question

5. The number of trucks that arrive at a loading dock in t hours follow a Poisson
distribution. On the average , three trucks arrive at the dock each hour.
a) What is the probability that 2 trucks will arrive at the dock in 15 minutes?
b) Suppose a truck has just arrived. What is the probability that at least 45
minutes will lapse until the next truck arrives?
c) Suppose a truck has just arrived. What is the probability that at most 1.5
hours will lapse until the next 3 trucks arrive?
Transcribed Image Text:5. The number of trucks that arrive at a loading dock in t hours follow a Poisson distribution. On the average , three trucks arrive at the dock each hour. a) What is the probability that 2 trucks will arrive at the dock in 15 minutes? b) Suppose a truck has just arrived. What is the probability that at least 45 minutes will lapse until the next truck arrives? c) Suppose a truck has just arrived. What is the probability that at most 1.5 hours will lapse until the next 3 trucks arrive?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL