5.73 The total sustained load on the concrete footing of a planned building is the sum of the dead load50 andplus the occupancy load. Suppose that the dead load X, has a gamma distribution with a,20 and B,2.B1 = 2, whereas the occupancy load X, also has a gamma distribution but with(Units are in kips, or thousands of pounds.)Find the mean, the variance, and the probability density function of the total sustained load onthe footing.bFind a value for the sustained load that should be exceeded only with a probability of lessthan 1/16.

5.73 The total sustained load on the concrete footing of a planned building is the sum of the dead load plus the occupancy load. Suppose that the dead load X, has a gamma distribution with a B = 2, whereas the occupancy load X, also has a gamma distribution but with a, (Units are in kips, or thousands of pounds.) Find the mean, the variance, and the probability density function of the total sustained load on the footing. = 50 and = 20 and B, = 2. b Find a value for the sustained load that should be exceeded only with a probability of less than 1/16.

5.73 The total sustained load on the concrete footing of a planned building is the sum of the dead load plus the occupancy load. Suppose that the dead load X, has a gamma distribution with a B = 2, whereas the occupancy load X, also has a gamma distribution but with a, (Units are in kips, or thousands of pounds.) Find the mean, the variance, and the probability density function of the total sustained load on the footing. = 50 and = 20 and B, = 2. b Find a value for the sustained load that should be exceeded only with a probability of less than 1/16.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

for simulation use R code
A certain insect species has a mean length of 1.2 centimeters and a standard deviation of 0.1 centimeters. Assume that the lengths are normally distributed. 1. If there are estimated to be 10,000 of these insects in a terrarium, how many of them would be expected to be less than 0.8 cm in length? 2. Does this model assumption make sense? Why not a uniform density model? Explain
The error in the length of a part, in mm, is a random variable X with probability density function f(x)=12(x² -x³), 0sxs1 а. Find the mean error. b. Find the variance of the error. The error must be less than 0.8 mm for the part to be fit properly. What proportion of the parts will fit properly? с.
Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve. Oliver will get a written warning if he is more than 16 minutes late for work. What percentage of the time will Oliver get a written warning?
Let Xi and X2 be independent random variables each having the standard normal distribution. Consider the circle centered at the origin and passing through the point (X1, X2). What is the probability density of the area of the circle?
In an experiment of fair wheel of chance is spun with the numbers 0 to 12 on the wheel. What is the distribution and density function explain with plot.
Porosity measurements for several reservoir formations have been accomplished. The results imply that probability density function of the measurements is constant at a value of o.25. The used measurements in this study have porosity values from 4% to 8%. Determine the proportion of the measurements thathave 7%-8% porosity.
The number of months that a certain heavy equipment can be used before it fails beyond repair is a random variable having the density function Determine the probability that a heavy equipment will last for a. At least 15 years. b. Anywhere from 5 to 10 years. Please answer this question and justify your solution.
A5,
A spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Let X = the random number spun on the spinner. Height = 1 0 Random number What is the mean of X and the median of X? Mean = 0.25 Median = 0.5 Mean = 0.5 Median = : 0.5 Mean 0.75 Median 0.5 Mean = 0.5 Median = 0.25 Mean = 0.5 Median = 0.75 = -
The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds. a. Determine the density function b. Compute the probability that the driving time will be less than or equal to 435 seconds. c. Determine the expected driving time. d. Compute the variance e compute the standard deviations
Let X have beta distribution with a =2 and B = 3. Then the mean and the variance of X, respectively, are Select one: O a. 0.04 and 04 O b. 0.02 and 0.04 O c. 0.4 and 0.04 O d. 0.4 and 0.20 The weekly downtime Y (in hours) for a certain industrial machine has approximately gamma distribution a =3 and B =2. The loss, in dollars, to the industrial operation as a result of this downtime is given by L = 30Y+2Y?. Find the expected value of L. Select one: O a. 180 O b. 98 Oc. 36 O d. 276 The length X to complete a certain key task in house construction is exponentially distributed with mean of 5 hours. The cost of completing this task is C = 10+20x2, Find the expected cost. Select one: O a. 1000 O b. 1010 O c. 510 O d. 500 sum of the dead load plus the The total sustained load on the concrete footing of a planned building is occupancy load. Suppose that the dead load X, has a gamma distribution with a = 10 and B= 30, whereas the occupancy load, X2 also has exponential distribution with e =…