Jensen, arriving at a bus stop, just misses the bus. Suppose that he decides to walk if the (next) bus takes longer than 5 minutes to arrive. Suppose also that the time in minutes between the arrivals of buses at the bus stop is a continuous random variable with a U(4, 6) distribution. Let X be the time that Jensen will wait. a. What is the probability that X is less than 4.5 (minutes)? b. What is the probability that X equals 5 (minutes)? Note: A continuous random variable has a uniform distribution on the interval [a, b] if its probability density function fis given by f(x) = 0 if x is not in [a, b] and f(x)=1/(B-a) for a ≤ x ≤ß. We denote this distribution by U(a, B).
Jensen, arriving at a bus stop, just misses the bus. Suppose that he decides to walk if the (next) bus takes longer than 5 minutes to arrive. Suppose also that the time in minutes between the arrivals of buses at the bus stop is a continuous random variable with a U(4, 6) distribution. Let X be the time that Jensen will wait. a. What is the probability that X is less than 4.5 (minutes)? b. What is the probability that X equals 5 (minutes)? Note: A continuous random variable has a uniform distribution on the interval [a, b] if its probability density function fis given by f(x) = 0 if x is not in [a, b] and f(x)=1/(B-a) for a ≤ x ≤ß. We denote this distribution by U(a, B).
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
Related questions
Question
![Jensen, arriving at a bus stop, just misses the bus. Suppose that he decides to walk if
the (next) bus takes longer than 5 minutes to arrive. Suppose also that the time in
minutes between the arrivals of buses at the bus stop is a continuous random variable
with a U(4, 6) distribution. Let X be the time that Jensen will wait.
a. What is the probability that X is less than 4.5 (minutes)?
b. What is the probability that X equals 5 (minutes)?
Note: A continuous random variable has a uniform distribution on the interval [a, b]
if its probability density function fis given by f(x) = 0 ifx is not in [a, b] and
f(x)=1/(B-a)
for a ≤x≤ß.
We denote this distribution by U(a, ß).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd300c0dc-a0ad-486a-8e3f-43fae65dfe77%2F8f576280-e83e-4843-9a6b-eda3e72b61bf%2F7431otv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Jensen, arriving at a bus stop, just misses the bus. Suppose that he decides to walk if
the (next) bus takes longer than 5 minutes to arrive. Suppose also that the time in
minutes between the arrivals of buses at the bus stop is a continuous random variable
with a U(4, 6) distribution. Let X be the time that Jensen will wait.
a. What is the probability that X is less than 4.5 (minutes)?
b. What is the probability that X equals 5 (minutes)?
Note: A continuous random variable has a uniform distribution on the interval [a, b]
if its probability density function fis given by f(x) = 0 ifx is not in [a, b] and
f(x)=1/(B-a)
for a ≤x≤ß.
We denote this distribution by U(a, ß).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 5 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning