ECET Digital Signal Processing Class

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Construct  a histogram for the given data:

Calculate the mean and median. Compare the two. Find the standard deviation and compare it with the interquartile range.

 

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Two dice are rolled:

  1. Determine the sample space
  2. Determine the events A: Equal faces, B: Sum exceeds 9, C: Sum equals 7
  3. Are the events A: Sum divisible by 3 and B: Sum divisible by 5 mutually exclusive?

Find the sample space for the following experiment:
Drawing bolts from a lot of 20, containing one defective D, until D is drawn, one at a time and assuming sampling without replacement, that is, bolts drawn are not returned to the lot.

In the prior problem (#5) find the probability of E: At least 1 defective (i) directly, (ii) by using complements; in both cases (a) and (b).

  • If a circuit contains 3 automatic switches and we want that, with a probability of 95%, during a given time interval they are all working, what probability of failure per time interval can we admit for a single switch?

 

List (a) all permutations, (b) all combinations without repetition, (c) all combinations with repetitions, of 5 letters a, e, I, o, u taken 2 at a time.

 

In how many different ways can we select a committee consisting of 3 engineers, 2 biologists, and 2 chemists from 10 engineers, 5 biologists, and 6 chemists?

 

How many different license plates showing 5 symbols, namely, 2 letters followed by 3 digits, could be made?