If the time to failure distribution (PDF) is given by f(t) = gt-4 (t > 2)...

If the time to failure distribution (PDF) is given by f(t) = gt^-4 (t > 2) and f(t) = 0 for t ? 2:

a) What is the value of g?

b) What is the mean time to failure?

c) What is the instantaneous failure rate?

Expert Solution

samet mamat answered 2 years ago

The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...

The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate the acceleration a(t). b) Find the distance traveled by the particle at time t = 3π/2, if the particle starts its motion at time t = π/2. c) Find the unit tangent vector of this particle at time t = 3π/2. d) Find the curvature of the path of this particle at time t = 3π/2.

4. Consider the triangular probability distribution with PDF f(x) = 0 if x <= 0 or...

4. Consider the triangular probability distribution with PDF f(x) = 0 if x <= 0 or x >= 4, x/2 if 0 < x <= 1, (4-x)/6 if 1 < x < 4. (a) Obtain the CDF F (b) Obtain its inverse F^-1 (c) Describe the inverse CDF simulation method for this given problem.

Plot pdf of t-distribution, Fn,m-distribution and χ 2 n -distribution with different degree of freedom in...

Plot pdf of t-distribution, Fn,m-distribution and χ 2 n -distribution with different degree of freedom in Python. Summarize how the distribution are changing when the df (degree of freedom) is getting bigger (e.g. n=1,6,10,25,30, etc.).

Suppose time to failure follows normal distribution as, T tilde N open parentheses 2 comma space...

Suppose time to failure follows normal distribution as, T tilde N open parentheses 2 comma space 9 close parentheses. The failure rate function z(2.1) is

Generate a random variable with Pareto(a, b) distribution with PDF given by f(x) = (aba)/(xa+1)

1. Find the probabilities f(0), f(1), f(2), f(3), and f(4) of a binomial distribution. Keep 4...

1. Find the probabilities f(0), f(1), f(2), f(3), and f(4) of a binomial distribution. Keep 4 decimal places in your answer. Use n=4 and p=0.15. 2. Keep 4 decimal places in your answer. About 75% of dog owners buy holiday presents for their dogs. Suppose n=4 dog owners are randomly selected. 2. Find the probability that a. at least one buys their dog holiday presents b. three or more buy their dog holiday presents c. at most three buy their...

The time until failure for an electronic switch has an exponential distribution with an average time...

The time until failure for an electronic switch has an exponential distribution with an average time to failure of 4 years, so that λ = 1 4 = 0.25. (Round your answers to four decimal places.) (a) What is the probability that this type of switch fails before year 3? (b) What is the probability that this type of switch will fail after 5 years? (c) If two such switches are used in an appliance, what is the probability that...

Given the following coordinates: (f, 9), (z, 2), (t, 4), (x, 8), (b, 1), (m, 7)....

Given the following coordinates: (f, 9), (z, 2), (t, 4), (x, 8), (b, 1), (m, 7). Sort the coordinates in Python (in ascending order) by comparing the first part of the coordinates. You may use the sort() function in Python.

A continuous probability density function (PDF) f ( X ) describes the distribution of continuous random...

A continuous probability density function (PDF) f ( X ) describes the distribution of continuous random variable X . Explain in words, and words only, this property: P ( x a < X < x b ) = P ( x a ≤ X ≤ x b )

Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by...

Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by approximating the integral of f (x) on the interval [1.5,2.5] with n = 4, using trapezoids. Find the domain of the vector function r(t)= <sent,lnt,1/(x-2). find the equation of the plane that passes through the point (-1,3, -8) and is parallel to the plane 3x-4y-6y = 9 find the equation of the line parallel to the plane 2x + y + z = 8...

Question