Homework Help is Here – Start Your Trial Now!
Math
Probability
The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=1/(x (x - 1)²(4-x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75?

The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=1/(x (x - 1)²(4-x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
See similar textbooks
icon
Related questions
Question

I need perfect solution for this question  parts a, b ,c  and d 

The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=(x − 1)²(4 - x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? | b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x²? h) What is the probability that X is less than its expected value? i) What is the expected value of √X? j) What is the 70th percentile of X? [ k) What is the probability that X is within 0.1 of its expected value? 1) What is the probability that X = 0.7?
Transcribed Image Text:The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=(x − 1)²(4 - x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? | b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x²? h) What is the probability that X is less than its expected value? i) What is the expected value of √X? j) What is the 70th percentile of X? [ k) What is the probability that X is within 0.1 of its expected value? 1) What is the probability that X = 0.7?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

i need same explanatory answer of part j , k and l 

The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=(x − 1)²(4 - x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? | b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x²? h) What is the probability that X is less than its expected value? i) What is the expected value of √X? j) What is the 70th percentile of X? [ k) What is the probability that X is within 0.1 of its expected value? 1) What is the probability that X = 0.7?
Transcribed Image Text:The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=(x − 1)²(4 - x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? | b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x²? h) What is the probability that X is less than its expected value? i) What is the expected value of √X? j) What is the 70th percentile of X? [ k) What is the probability that X is within 0.1 of its expected value? 1) What is the probability that X = 0.7?
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS