Solution Found!

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
Change Question

The distance between major cracks in a highway follows an

Chapter 4, Problem 124E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 124E

The distance between major cracks in a highway follows an exponential distribution with a mean of five miles.

(a) What is the probability that there are no major cracks in a 10-mile stretch of the highway?

(b) What is the probability that there are two major cracks in a 10-mile stretch of the highway?

(c) What is the standard deviation of the distance between major cracks?

(d) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection?

(e) What is the probability that there are no major cracks in two separate five-mile stretches of the highway?

(f) Given that there are no cracks in the first five miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?

Questions & Answers

QUESTION:

Problem 124E

The distance between major cracks in a highway follows an exponential distribution with a mean of five miles.

(a) What is the probability that there are no major cracks in a 10-mile stretch of the highway?

(b) What is the probability that there are two major cracks in a 10-mile stretch of the highway?

(c) What is the standard deviation of the distance between major cracks?

(d) What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection?

(e) What is the probability that there are no major cracks in two separate five-mile stretches of the highway?

(f) Given that there are no cracks in the first five miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?

ANSWER:

Solution:

Step 1 of 5:

The distance between major cracks in a highway have an exponential distribution.

Which have a mean of 5 miles.

  1. We have to find the probability that there are no major cracks in a 10-mile stretch of the highway.

  1. We have to find the probability that there are two major cracks in a 10-mile stretch of the highway.

  1. We have to find the standard deviation of the distance between major cracks.

  1. We have to find the probability that the first major crack occurs between 12 and 15 miles of the start of inspection.

  1. We have to find the probability that there are no major cracks in two separate five-mile stretches of the highway.

  1. We have to find the probability that there are no major cracks in the next 10 miles inspected, if it is given that there are no cracks in the first five miles inspected.

Add to cart

Study Tools You Might Need

Chapter: 6 Problem: 64P

Introductory Chemistry 5
Determine the number of moles of \(\mathrm{H}\) in each sample. (a) \(4.67 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}\) (b) \(8.39 \mathrm{~mol} \mathrm{NH}_{3}\) (c) \(0.117 \mathrm{~mol} \mathrm{~N}_{2} \mathrm{H}_{4}\) (d) \(35.8 \operatorname{mol} \mathrm{C}_{10} \mathrm{H}_{22}\)

Chapter: 30 Problem: 30

Organic Chemistry 9
Do the following electrocyclic reactions take place in a conrotatory or disrotatory manner? Under what conditions, thermal or photochemical, would you carry out each reaction? (a) H H (b) H H

Chapter: 22 Problem: 22.118

Organic Chemistry, - Standalone Book 2
The compound fusarisetin A (isolated from a soil fungus) displays significant anticancer activity without detectable cytotoxicity (toxicity to cells). A key step in a reported synthesis of the enantiomer of fusarisetin A involves a Dieckmann cyclization followed by the intramolecular formation of a h

Chapter: 4 Problem: 4.133

Chemistry: The Molecular Nature of Matter and Change 5
A chemist mixes solid AgCl, CuCl2, and MgCl2 in enough water to give a final volume of 50.0 mL. N I2(aq) _ S2O3 2_(aq)I_(aq) _ S4O6 2_(aq) IO3 _(aq) _ H_(aq) _ I_(aq)I2(aq) _ H2O(l) C2H4(g) _ HCl(g)C2H5Cl(g) (a) With ions shown as spheres and solvent molecules omitted for clarity, which of the follow

Chapter: 13 Problem: Problems and Applications 13.6

Principles of Economics 6
Consider the following cost information for a pizzeria: Quantity Total Cost Variable Cost 0 dozen pizzas $300 $ 0 1 350 50 2 390 90 3 420 120 4 450 150 5 490 190 6 540 240 a. What is the pizzerias fixed cost? b. Construct a table in which you calculate the marginal cost per dozen pizzas using the inf

Chapter: 22 Problem: 84

Chemistry: A Molecular Approach 5
Draw the structure for each ether. a. ethyl propyl ether b. dibutyl ether c. methyl hexyl ether d. dipentyl ether

Chapter: 6 Problem: 32

Biology for AP Courses
Name two different cellular functions that require energy. a. Phagocytosis helps amoebae take up nutrients and pseudopodia help the amoebae move. b. Phagocytosis allows amoebae to move and pseudopodia help in the uptake of nutrients. c. Phagocytosis helps amoebae to take up nutrients and cilia help a

Chapter: 5 Problem: 5.96

Chemistry for today : general, organic, and biochemistry 9
In the reaction \(4 \mathrm{Al}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3}\), how many grams of \(\mathrm{O}_{2}\) are needed to completely react with 1.5 moles of Al? a. 24 g b. 36 g c. 48 g d. 60 g

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back