## Questionsexercises

11.1 For the binomial example in Section 11.3, calculate the probability of either one or zero errors.

11.2 For a roulette wheel with 18 red, 18 black, a zero, and a double zero, what is the probability of:

a. winning when you bet on black?

b. losing when you bet on red?

11.3 For a normal distribution with a mean value of 6 and a variance of 9, what is the probability that the random variable will exceed:

11.4 What is the probability of successful operation for 200 hours for a system with three subsystems with MTBFs of 100, 200, and 300 hours when the subsystems are:

a. in a ''series'' reliability configuration?

b. placed in a redundant configuration?

11.5 If the failure rate is 0.02 failure/hour and the mean-time-to-repair distribution is uniform in the range 2 to 10 hours, what is the system availability?

11.6 For threshold detection of a radar pulse in Gaussian additive noise, the pulse voltage is 14 volts, the threshold is set at 5 volts, and the noise power is 9 watts.

a. Find the detection and false-alarm probabilities.

b. Where would you put the threshold to obtain a false-alarm probability of approximately 0.02? What is the resultant detection probability?

11.7 The three one-sigma errors of a system, where the errors are additive and independent, are in the ratio 3:4:5, and the total allowable error variance is 0.5. What are the maximum values of the three independent errors?

11.8 What is the probability that a system will operate without failure:

(a) to its mean-time-between-failure (MTBF), and

(b) twice its mean-time-between failure?

## Project Management Made Easy

What you need to know aboutâ€¦ Project Management Made Easy! Project management consists of more than just a large building project and can encompass small projects as well. No matter what the size of your project, you need to have some sort of project management. How you manage your project has everything to do with its outcome.

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