Length of a filament chosen at random lies

Reference no: EM131015147

1. The length of a continuous nylon filament that can be drawn without a break occurring is an exponential random variable with mean 5000 feet.

(a) What is the probability that the length of a filament chosen at random lies between 4750 and 5550 feet?

(b) Find the 10th percentile of the distribution of filament length.

2. A particular electronic system has three electronic components. Let Ai repre sent the event that component iis functioning. Let P(A1) = 0.4, P( A2 ) = 0.6, and P( A3 ) = 0.5. The events Ai are independent, and at least two compo nents must be functioning in order for the system to function.

(a) In how many different ways can the system be functioning?

(b) What is the probability that the system is functioning?

(c) In how many ways could the system be functioning if there were n components and at least k of them had to function in order for the system to function.

Reference no: EM131015147

Questions Cloud

Lifetime of a particular brand of computer : The lifetime of a particular brand of computer is exponentially distributed with an average lifetime of 3.2 years. (a) Find the probability that a randomly selected computer of this brand will have failed within 3 years.

Find the sample code letter : Find the sample code letter, the sample size and the acceptability constant - Determine whether the lot should be accepted.

Discrete random variable with probability function : 1. Consider the function f ( x ) = cx3 for x = 1, 2, 3, 4; where c is a constant. Let X be a discrete random variable with probability function f (x).

National survey of engineering school : A national survey of engineering school graduates indicates that only 10% of them have had a course in statistics. (a) Find the probability that in a random sample of five engineering grad uates exactly two have had a course in statistics.

Length of a filament chosen at random lies : 1. The length of a continuous nylon filament that can be drawn without a break occurring is an exponential random variable with mean 5000 feet. (a) What is the probability that the length of a filament chosen at random lies between 4750 and 55..

Develop service delivery observation skills : Service Journal (20%). The purpose of this journal is to develop service delivery observation skills, apply theory discussed in class to each entry, and to reflect on your learning experiences as a consumer

Problem regarding the machine set value : Machines used to fill food cartons are usually set to slightly overfill the boxes so that the contents will not weigh less than the advertised net weight. This takes into account the fact that the actual weight of each box varies somewhat from th..

Show the nth degree polynomial that minimizes : Let n=0{Φn(x)}∞ be a family of orthonomal polynomials with respect to the weight function w(x). Show that the nth degree polynomial that minimizes.

How do copayments and deductibles reduce risk : What are the advantages and disadvantages of ABC relative to the step-down method of cost allocation?

User Account

All Pages