Multiple choice then add brife reason illustrate why ? 1. A discrete sample spac
ID: 2932020 • Letter: M
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Multiple choice then add brife reason illustrate why ?
1. A discrete sample space is defined over aet S. a. Finite b. Infinite c. Countable d. Both a and c 2s, is it possible that f is still a -algebra over S? ores 2. If we remove null set {} from a. Yes, it is possible. b. No, it is not possible c. It depends on elements in S d. It depends on the probability measure. 3. Events A and B are mutually exclusive, this means thatmtully exdufve a. P(An B) P(A)P(B) b, P(A U B) = P(A)P(B) e-P(ADB)=p(A)+P(B) d. P(AUB)=P(A)+p(B 4. Inter-arrival time between Poisson points has the following PDF: a. Laplacian b. Gamma C. Gaussian d. Exponentia 5. Variance of a Uniformly distributed random variable over [2,4] interval is a. 1/2 b. 1/3 c. 1/4 d. 2 -a2 CA. 6. For a complex random variable, Z, can we talk about P(Zsa), where a is a complex number? a. True b. False hcucf 7. Poisson distribution is only used for discrete point process, not continuous random variables. o erpane b. False 8. Bernoulli trials only have two outcomes: success or failure re c a. True b. Fei False Probability of raining later on a certain morning conditioned on the current weather condition is always lower than the same probability with no condition. 9. a. True b. False P(R) 10. Conditional probabilities of P(B |A) and P(B|A) sum up to 1. a. True b. False PCAY PUA)Explanation / Answer
1.
A sample space S is called a discrete sample space if S is a finite set.
S, the sample space, is Discrete if it consists of a finite or countable infinite set of outcomes.
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