Question

An assembly consists of two independent mechanical components. Suppose that the probabilities that the first and...

An assembly consists of two independent mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.92 and 0.87, respectively. Let X be the number of components in the assembly that meet specifications. (a) Find the mean of X. (b) Find the variance of X.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4n assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and...
4n assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 040, 0.45 and 0.8 respectively. Assume that the components are independent. Let random variable X be the number of components that meet specifications; Determine the mean, variance and the standard deviation of X.
The electrical system for an assembly line has four components arranged in two parallel subsystems as...
The electrical system for an assembly line has four components arranged in two parallel subsystems as shown in the diagram below. Each of the four components (labeled 1, 2, 3, 4) are independent and each has a 10% chance of failure. Because the components are independent, the two subsystems (labeled A and B) are also independent. If one component in a subsystem fails, then the whole subsystem fails because the power cannot get through. However, because there are two subsystems,...
A box consists of 16 components, 6 of which are defective. (a) Components are selected and...
A box consists of 16 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 4). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X = 5).
We have a system that has 2 independent components. Both components must function in order for...
We have a system that has 2 independent components. Both components must function in order for the system to function. The first component has 9 independent elements that each work with probability 0.92. If at least 6 of the elements are working then the first component will function. The second component has 6 independent elements that work with probability 0.85. If at least 4 of the elements are working then the second component will function. (a) What is the probability...
A lot of 1500 components contains 200 that are defective. Two components are drawn at random...
A lot of 1500 components contains 200 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn in defective, let B be the event that the second component drawn is defect, let C be the event that the first component drawn is not defective. E. Find P(B|C) F. Are A and B independent? G. Find P(A ∪ B^c) H. Find (A ∩ C)
A device has two electronic components. Let ?1T1 be the lifetime of Component 1, and suppose...
A device has two electronic components. Let ?1T1 be the lifetime of Component 1, and suppose ?1T1 has the exponential distribution with mean 5 years. Let ?2T2 be the lifetime of Component 2, and suppose ?2T2 has the exponential distribution with mean 4 years. Suppose ?1T1 and ?2T2 are independent of each other, and let ?=min(?1,?2)M=min(T1,T2) be the minimum of the two lifetimes. In other words, ?M is the first time one of the two components dies. a) For each...
An insurance portfolio consists of two homogeneous groups of clients; N i, (i = 1 ,...
An insurance portfolio consists of two homogeneous groups of clients; N i, (i = 1 , 2) denotes the number of claims occurred in the ith group in a fixed time period. Assume that the r.v.'s N 1, N 2 are independent and have Poisson distributions, with expected values 200 and 300, respectively. The amount of an individual claim in the first group is a r.v. equal to either 10 or 20 with respective probabilities 0.3 and 0.7, while the...
A system consists of two components A and B that are connected in series. If the...
A system consists of two components A and B that are connected in series. If the lifetime of A is exponentially distributed with a mean 200 hours and the lifetime of Bis exponentially distributed with a mean of 400 hours, what is the PDF of X, the time until the system fails?
Question 6) Suppose X is a random variable taking on possible values 0,2,4 with respective probabilities...
Question 6) Suppose X is a random variable taking on possible values 0,2,4 with respective probabilities .5, .3, and .2. Y is a random variable independent from X taking on possible values 1,3,5 with respective probabilities .2, .2, and .6. Use R to determine the following. a) Find the probability P(X*Y = 4) b) Find the expected value of X. c) Find the variance of X. d) Find the expected value of Y. e) Find the variance of Y.
1. Two dice are tossed in a row. Let X be the outcome of the first...
1. Two dice are tossed in a row. Let X be the outcome of the first die, and let Y be the outcome of the second die. Let A be the event that X + Y ≤ 7, and let B be the event that X − Y ≥ 2. (a) Find P(A). (b) Find P(B). (c) Find P(A ∩ B). (d) Are A and B independent?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT