(a) To graph: The density function p ( t ) , where t is the number of minutes that the bus is late and shade the region between t = 2 and t = 4 minutes under the graph.

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Answer 1

Question

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

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Consider the functionf(x)=1/x, defined on the interval 1≤ x≤ e describe the shape of distribution after graphing the density function.

A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is f(x)= {kx2O < x < 2} 0 otherwise a. Find the value of k and draw the corresponding density curve.[ Hint: Total area under the graph of f (x) is 1.] b. What is the probability that the lecture ends within 1min of the end of the hour? c. What is the probability that the lecture continues beyond the hour for between 60 and 90 sec? d. What is the probability that the lecture continues for at least 90 sec beyond the end of the hour?

Answer 2

Question

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Answer 6

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

Answer 7

Chapter 7.2, Problem 11P

To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

Answer 8

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Answer 9

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.1 - Prob. 7P Ch. 7.1 - Prob. 8P Ch. 7.1 - Prob. 9P Ch. 7.1 - Prob. 10P

(a) To graph: The density function p ( t ) , where t is the number of minutes that the bus is late and shade the region between t = 2 and t = 4 minutes under the graph.

Solution Summary: The graph represents the probability distribution for time t, the number of minutes the bus is late.

Concept explainers

Videos

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Want to see the full answer?

Chapter 7 Solutions

(a) To graph: The density function p ( t ) , where t is the number of minutes that the bus is late and shade the region between t = 2 and t = 4 minutes under the graph.

Solution Summary: The graph represents the probability distribution for time t, the number of minutes the bus is late.

Concept explainers

Videos

(a) To graph: The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

(b) To graph: The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

Want to see the full answer?

Chapter 7 Solutions

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.