Two types of flaws may occur during the fabrication of steel beams: (1) the inclusions of...

Two types of flaws may occur during the fabrication of steel beams: (1) the inclusions of small quantity of foreign matter “slag”; and (2) the existence of microscopic cracks. It has been found by careful laboratory investigation that for a certain size I-beam from a given fabricator, the mean distance between microscopic cracks is 40 feet along the beam, whereas the slag inclusions exist with an average rate of four (4) per 100 ft. of the beam. Each of these types of flaws follow a Poisson process.

a) For a 20-ft I-beam, what is the chance of finding exactly two microscopic cracks in the beam?

b) For the beam in a, what is the probability of finding one or more slag inclusions?

c) If a 20-ft beam contained more than two flaws, it would be rejected. What is the probability of rejecting a 20-ft beam?

d) Four 20-ft beams were supplied to a contractor by this fabricator last year. Assume that the flaw conditions among the four beams are statistically independent. What is the probability that only one beam had been rejected?

Solutions

Expert Solution

Ally Wells answered 1 year ago

Next > < Previous

Related Solutions

At a construction site, a helicopter is lifting two steel beams, each with a mass of...

At a construction site, a helicopter is lifting two steel beams, each with a mass of 290 kg. One steel beam is attached directly to the helicopter by a cable. The second steel beam is not attached to the helicopter directly, but it is instead hanging directly below the first steal beam and attached to the first beam by another cable. Assume the cables have no mass. (a) If the steel beams are at rest, what is the tension in...

There are two steel I beams in a construction cite. The I beam A has 3"...

There are two steel I beams in a construction cite. The I beam A has 3" long stringer in the middle of the beam in the center of shear web and the second beam (beam B) has multiple edge cracking (0.1" deep) due to improper rolling process in the same middle area as beam A in both top and bottom flanges. As an engineer discuss which of the discontinuities will be more likely to be considered as a defect? Why?

Callum Pty Ltd had the following transactions occur during May. May 1 Inventory on hand was...

Callum Pty Ltd had the following transactions occur during May. May 1 Inventory on hand was 20 units at a cost of $10 per unit May 5 Purchased 20 units for cash for $17 per unit May 10 Sold 35 units for cash at a selling price of $20 per unit May 31 Inventory on hand was 5 units (i) Calculate the cost of sales in May using the average cost inventory costing method (ii) Prepare the journal entries to...

1. Define and explain these types of errors that may occur in sensors: Offset, scale, nonlinearity,...

1. Define and explain these types of errors that may occur in sensors: Offset, scale, nonlinearity, hysteresis. Give an example.

Question 1 a. Draw a precedence diagram for the following fabrication of steel project. For each...

Question 1 a. Draw a precedence diagram for the following fabrication of steel project. For each activity, show the computed values of early start, early finish, late start, late finish, total float, free float and the critical path. Activity Immediate Predecessor Duration (weeks) A None 2 B A 4 C A 2 D B 2 E B, C 4 F A, E 6 G D 4 H D, E, F 2 I G, H 6 J H, F 6 K...

What types of energy conversions (transformations) occur during photosynthesis?

what types of structural changes may occur in the membranes of individual neurons and in the...

what types of structural changes may occur in the membranes of individual neurons and in the natural circuitry of the hippocampus as a result of LTP? explain please

What is a payroll master file? Describe the types of errors that may occur in the...

What is a payroll master file? Describe the types of errors that may occur in the master file and how they get there. How would you design payroll procedures to help prevent them?

a) During the manufacturing process of rail steel, chemicals may be naturally found in or added...

a) During the manufacturing process of rail steel, chemicals may be naturally found in or added to the steel. For each of the following chemicals, describe where it comes from in the manufacturing process and the effect that it has on the rail steel: (i) carbon (ii) silicon; (iii) sulphur; (iv) manganese; (v) hydrogen (vi) boron and molybdenum

Describe types of rater errors that can occur during performance review conversations?

Subjects