q4Q1 1. Consider the following distributions (40/100): 1. Geometric 4. Uniform 7
ID: 3317729 • Letter: Q
Question
q4Q11. Consider the following distributions (40/100): 1. Geometric 4. Uniform 7. Exponential 10. Chi-squared 2. Negative Binomial 5. Poisson 8. Normal 11. F-distribution 3. Binomial 6. r-distribution 9. t-distribution 12. None of the above Place the number of the appropriate distribution in the blank next to each statement. Note that some statements may have more than one correct answer, but you need only give ONE answer. Some distributions may be used more than once and others not at all. a. A distribution that explains occurrence of rare independent events . The inter-arrival times of rare events. c. The sum of squared independent normally-distributed random variables has this distribution. -, d. Repeatedly toss a coin, and observe the number of tosses until the second head appears. E[X] = np: X follows-distribution. f. Describes the probability of getting 5 heads on flipping a coin 10 times. g. Describes the number of Bernoulli trials before the first success is obtained h. Geometric distribution is a special case of this distribution. _ e. _ li. The distribution used for small-sample confidence intervals where the population variance is unknown. -j. The distribution that is at the heart of the Central Limit Theorem.
Explanation / Answer
a) Occurance of rare events follows Poisson distribution
b) The inter arrival times follows Exponential distribution
c)The sum of two normal distribution is also normal distribution
d) nuber of toses untill second head follows negative biomial
eP E(x)=np
where x follows binomial distribution
f) Tossing a coin also follows Binomail
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