A fiber-spinning process currently produces a fiber whose strength is normally distributed. The minimumacceptable strength is 70N/m². It is known that 15% of the fibers produced by current method havestrengths less than 70.85N/m² and that 10% of the fibers have strength greater than 80.13N/m².a. Find the mean and standard deviation of the strengths.b. What proportion of the fibers meet the strength specification?

Given information: 15% of the fibers produced by current method have strengths less than 70.85. 10%…

Answered: A fiber-spinning process currently…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Medical researchers have developed a radiotracer dye that can bind to specific dopaminergic cell receptor sites in the brain, which can be viewed using PET imaging. The radiotracer has a reported half-life of 14 hours, where its radioactivity will be below detection threshold. A random sample of 40 solutions of the dye is made up at the same concentration and their specific activities measured by a scintillation counter. The average half-life of these dyes is 14.3 hours. Assume that half-life is normally distributed with a standard deviation of 0.58 hours. Is there evidence to support the claim that the mean half-life exceeds 14 hours? Use a 5% level of significance. Your answer should include:  State the statistical hypotheses (using the appropriate notation).  Indicate whether the alternative hypothesis is non-directional or directional (and how you know).  Set the decision rules, which will include: o State alpha o Providing the critical value for the test statistic o Sketch…
In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly, so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. . Clearly state an appropriate…
9) Find L3.2 (5) using the nodes xo = 3,x1 = 4, x2 = 6 ,x3 = 8 %3D
Consider a two component parallel system in which both components have times to failure and times to 0.0024 f/hr and µ1 = = 0.001 f /hr, 12 repair that are exponentially distributed. The data is 1, 0.003 r/hr and µ2 = 0.005 r/hr. Evaluate the reliability or probability of success for a mission of 1000 hr. (hint: form a history for each component using the data for failure rate and repair rate)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 188 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.61 cm, y = 81.52 kg, r=0.271, P-value=0.006, and y = -103 +1.18x. Find the best predicted value of ŷ (weight) given an adult male who is 155 cm tall. Use a 0.10 significance level. The best predicted value of y for an adult male who is 155 cm tall is (Round to two decimal places as needed.) kg.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 132 to 193 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.59 cm, y = 81.52 kg, r= 0.416, P-value = 0.000, and y = - 102 + 1.13x. Find the best predicted value of y (weight) given an adult male who is 147 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 147 cm tall is kg. (Round to two decimal places as needed.)
PT. X is an industry engaged in concrete steel with various diameter sizes. The product that is mostly produced is concrete iron with a diameter of 12 mm because it suits the needs of consumers and the current pandemic conditions. During the period from January to December 2019, PT. X is capable of producing as many as 6800 tonnes of units. From the results produced, there is a product defect of 70.4 with the type of product damage, namely overfill (wing), overlap (excessive shape), underfill (kempong) and scratch (beret). In that period, defects were found above the tolerance limit of 2%, namely at week 5 and week 12 of 2.42% and 2.21%. During the production process PT.X has a 2% probability of producing defective products. If you check is 065, then determine:a. P(X=0)b. P(X=1)c. P(X=2)d. P(X≤2)e. P(X≥3)
A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS