### Probabilistic Design using Factor of Safety Method.

See attached Probabilistic design using yield stress as the failure criterion must be accomplished...what minimum safety factor is acceptable?

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See attached Probabilistic design using yield stress as the failure criterion must be accomplished...what minimum safety factor is acceptable?

If x is normally distrubed with u = 20.0 and o = 4.0, determine the following: a. P(x > 20.0) b. P(16.0 < x < 24.0) c. P(X < 12) d. P(x = 22.0) e. P(12.0 , x , 28.0) f. P(x 15)

1) The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters. a. What is the probability that a randomly selected ball bearing will be acceptable ? (Round to tent

The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometers and a standard deviation of 0.05 micrometers. (a) What is the probability that a line width is greater than 0.62 micrometer? (b) What is the probability that a line width is between 0.47 and 0.63 micrometer? (c

USE EXCEL TO SOLVE THE FOLLOWING PROBLEMS PROBLEM 9.13: The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. (a) What is the probability that a randomly selected woman is taller than 66 inches? (b) A random sample of four women is selected. Wh

See attached file for solution regarding a problem about a normal distribution. Provide step by step calculations. WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard

Please solve the attached problem using matlab.

25. A major department store has determined that its customers charge an average of $500 per month with a standard deviation of $80. Assume the amounts of charges are normally distributed. a. What percentage of customers charges more than $380 per month? P(x > 380) = 1- p(x<380) (P(x<380) =

Please see the attached questions regarding Z-Tables. Can you please explain how you get from P(Z<8/3) - P(Z<-8/3) to 0.9962 - 0.0038? How do you check the z-table to find these values? Please show me in the Example Z-Table attached.

Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. 6)P(40 less than or equal to x less than or equal to 47); u = 50; o = 15 10) P( x greater than or equal to 2); u = 3; o = 0.25 Find the z value described and sketch the area described. 14) find

The figure below graphs the density curve of a uniform distribution. Answer the following Questions ... Too much cholesterol in the blood increases the risk of ... (Please see the attached document) The figure below graphs the density curve for a uniform distribution. Use areas under this density curve to answer the fol

The manager of the Tee Shirt Emporium reports that the mean number of shirts sold per week is 1,210, with a standard deviation of 325. The distribution of sales follows the normal distribution. What is the likelihood of selecting a sample of 25 weeks and finding the sample mean to be 1,100 or less?

The mean of a population is 76 and the standard deviation is 14. The shape of the population is unknown. Determine the probability of each of the following occuring from this population. a. A random sample of size 35 yielding a sample mean of 79 or more b. A random sample of size 140 yielding a sample mean of between 74

A large population of metal rods have an average diameter of .943 inches with a standard deviation of .001 inches. The engineering specification for the rods requires that they be between .941 and .944 inches. Using the standardized normal table, determine the percentage of the population that should meet the requirement. Draw a

1. Scores for men on the verbal portion of the SAT test are normally distributed with a mean of 509 and a standard deviation of 112. Randomly selected men are given the Columbia Review Course before taking the SAT test. Assume that the course has no effect. If 1 of the men is randomly selected, find the probability that his scor

It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally distributed random variable whose mean is 7.5 days and whose standard deviation is 1.2 days. a. What proportion of cold sufferers experiences less than 4 days of symptoms? b. What proportion of cold

Problem:1 Suppose that x is normally distributed random variable with µ = 11 and variance = 4. Find each of the following: a)P(10<x <12) b)P(x > 13.24) c)P(x < x0) 0.75 find Xo Problem:2.Consider the following hypothesis test. Ho: µ >; 10 Ha: µ < 10 A sample with n = 50 provides a sample mean of 9.46 and samp

Using the normal distribution, answer the following questions. 1. A pharmaceutical drug has mean effective duration of 10.4 hours with a standard deviation of two hours. In what percentage of the patients will the effectiveness of the drug be: a) Greater than 13 hours? b) At least 9 hours? c) Between 11.8 and 14.6 hour

Create a bell curve chart that shows the number of men needed per day for a 10,000 man hour job. The start date is 1/1/2008 and the end date is 6/1/2008. The job will run for a total of 21.71 weeks and there will be 108.57 work days. The estimated man hours is 10,000 and each worker will work an 8 hour shift 5 days out of the we

A paint manufacturer has a normal distribution of 100,000 gallons per day of production with a standard deviation of 10,000 gallons. Management wants to create an incentive bonus when production exceeds the 90th percentile of the distribution. At what level should management pay the incentive bonus?

1. customers in a bank A bank has a drive thru service. The number of customers arriving during a 15 minute period is distributed as shown. Find the mean, variance, and standard deviation for the distribution Number of customers X 0 1 2 3 4 Probability

Here are tables of the Standard Normal and Student's t distributions. The formulas for the first value in each P column are, respectively =NORMSDIST(A3) and =TDIST(C3,20,2), where column A is the one labeled "Z" and column C is labeled "t". "t". 1. What is the meaning of the number given in the P column under NORMSDIST? 2)

Please see the attached file.

The ages of all new mothers have a mean of 30.0 years and a standard deviation of 3.0 years. Provide answers correct to one decimal place below. Assuming that the data is normally distributed, the percentage of new mothers aged less than 24.5 years is ___% in the population.

1. R.C. Geary wrote some 70 years ago that "Normality is a myth. There never was, is, nor will there ever be a Normal distribution". What do you think he meant and what relevance does it have to your work?(Read the Week 2 Lecture 1 before answering) 2.How do you feel that the inferential statistical technique of Hypothesis Te

How much should a healthy kitten weigh? A healthy 10-week-old (domestic) kitten should weigh an average of mu = 23.5 oz with 95% of data ranging from 13 to 34 oz. Let x be a random variable that represents the weight (in ounces) of a healthy 10-week-old kitten. Assume that x has a distribution that is approximately normal. m

The lengths of 45 French fries, randomly selected from a huge shipment, were measured and a mean length of 8.4 cm with standard deviation of 3.1 cm was found. a. Construct a 95% confidence interval for the population mean length of a French fry. b. Calculate the number of French fries that would have to be sampled and measur

The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for "slightly higher pay." In addition, 88% of companies say that there is a shortage of qualified job candidates. Suppose 16 workers are randomly selected and asked if they would ch

Tompkins Associates reports that the mean clear height for a Class A warehouse in the Unites States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet. A Class A warehouse in the Unites States is randomly selected. a. what is the probability that the clear height is greater t

According to the IRS, income tax returns one year averaged $1332 in refunds for taxpayers. One explanation of this figure is that taxpayers would rather have the government keep back too much money during the year than to owe it money at the end of the year. Suppose the average amount of tax at the end of a year is a refund of $