(a) To find the value of C.

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Answer 1

Question

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

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In 1950 an experiment was done observing the time gaps between successive cars on the Arroyo Seco Freeway. The data show that the density function of these time gaps was given approximately by p(t)=ae−0.119t where t is the time in seconds and a is a constant.Find the constant a.

The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2 for x in [0,∞). Find the probability that a randomly selected laptop battery will last between 2 and 5 years?

(a) Show that f(x) = 3x2 for 0 < x < 1 represents a density function.(b) Sketch a graph of this function, and indicate the areaassociated with the probability that 0.1 < x < 0.5.(c) Calculate the probability that 0.1 < x < 0.5.

Answer 2

Question

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Answer 6

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

Answer 7

Chapter 7.1, Problem 13P

To determine

(a)

To find the value of C.

Answer 8

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

Answer 9

To determine

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

Answer 10

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Answer 11

To determine

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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 find the value of C.

Solution Summary: The author explains that the value of C is 0.19 when p(x) is density function.

Concept explainers

Videos

(a)

To find the value of C.

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Want to see the full answer?

Chapter 7 Solutions

(a) To find the value of C.

Solution Summary: The author explains that the value of C is 0.19 when p(x) is density function.

Concept explainers

Videos

(a) To find the value of C.

(b) To find whether the machine more likely to break in its first year or 10th year. In its first year or in second year.

(c) To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.

Want to see the full answer?

Chapter 7 Solutions

(a)

To find the value of C.

(b)

To find whether the machine more likely to break in its first year or 10^th year. In its first year or in second year.

(c)

To find the fraction of machines which lasts in 2 years or less, between 5 and 7 years and between 3 and 6 years.