Consider the completion time of a large commercial development. The proportion of the maximum allowed time...
The proportion of the maximum allowed time to complete a project is modeled as a beta distribution with α=2 and β=3 . What is the probability that the proportion of the maximum time exceeds 0.6 ?
The maximum time to complete a task in a project is 1 month. Suppose that the completion time as a proportion of this maximum is a beta random variable with alpha-0,5 and beta -1. A) What is the probability that the task requires more than 0,5months to complete. B) Calculate the Variance of this random variable?
Statistics - Please help! Thanks. 5. Let X be the random variable that describes the measurements of the diameter of Venus. We know that X is normally distributed with mean u = 7848 miles and standard deviation o = 310 miles. What is (a) P(x < 7000) (b) P(8000< x < 8100) (c) Verify your answers using R. 6. Assume the life of a roller bearing follows a Weibull distribution with parameters ß = 2 and 8 = 7,500 hours....
8. The proportion of impurities per batch in a chemical product is a random variable that is well modeled by a Beta distribution with a-3 and ß-2. A batch with more than 40% impurities cannot be sold. a. Find the probability that a randomly selected batch cannot be sold because of excessive impurities b. What is the mean proportion of impurities? the variance? (Hint: use an appropriate method) 9. Suppose Y the amount spent on electricity (in dollars) per month...
Please Solve Part B Solve Part B Part B What is the probability that the max wind pressure will exceed 30? A large parabolic antenna is designed against wind load. Durng a wind storms, the maximum wind induced pressure on the antenna, P, is calculated as: 2 where C is the drag coefficient, R is the air mass density, V maximum wind speed, and P is the pressure. C, R, and V are statistically independent lognormal random variables with the...
Gamma, Exponential, Weibull and Beta Distributions (Part 3) 1. The random variable X can modeled by a Weibull distribution with B = 1 and 0 = 1000. The spec time limit is set at x = 4000. What is the proportion of items not meeting spec? 2. Suppose that the response time X at a certain on-line computer terminal (the elapsed time between the end of a user's inquiry and the beginning of the system's response to that inquiry) has...
Four people working independently on an assembly line all perform the same task. The time (in minutes) to complete this task for person i, for i=1,2,3,4, has a uniform distribution on the interval [0, i]. Suppose each person begins the task at the same time. a) What is the probability that person 2 takes less than 90 seconds to complete the task? b) What is the average completion time for each person? c) What is the probability that all four...
1. A device that continuously measures and records seismic activity is placed in a remote region. The time T, failure of the device is exponentially distributed with mean 3 years Since the device will not be monitored during its first two years of service, the time to discovery of its failure is X max(T, 2). Then E(X) - 2. The loss due to fire in a commercial building is modelled by a random variable X with probability density function f(x)-(0.00020-x)...
7. According to a study conducted by a statistical organiza tion, the proportion of people who are satisfied with the way thie are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below (a) Suppose the random sample of 100 people is asked, Are you satisfed with the way things are going in your lifte7" ls the response to this question quaitative or quantitative? Explairn O A. The...
The time T required to receive a message at node B from node A is an exponentially distributed random variable with mean 1/10 (milliseconds). The time T is measured from the moment that a message left node A to the moment that it was received by node B. (a) What is the probability that T exceeds 105 milliseconds? Write your answer in the box provided and show any working below. (1) mark/marks. (b) What is the probability that a message...