ECET Digital Signal Processing Class
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.
Two dice are rolled:
- Determine the sample space
- Determine the events A: Equal faces, B: Sum exceeds 9, C: Sum equals 7
- 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?