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2008 CFA Level 1 - Sample 样题(2)-Q13

13An analyst has recently determined that only 60 percent of all U.S. pension funds have holdings in hedge funds. In evaluating this probability, a random sample of 50 U.S. pension funds is taken. The number of U.S. pension funds in the sample of 50 that have hedge funds in their portfolio would most accurately be described as:

A. a binomial random variable.

B. a Bernoulli random variable.

C. a continuous random variable.

D. multivariate random variables.

[此贴子已经被作者于2008-11-7 13:44:41编辑过]

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13An analyst has recently determined that only 60 percent of all U.S. pension funds have holdings in hedge funds. In evaluating this probability, a random sample of 50 U.S. pension funds is taken. The number of U.S. pension funds in the sample of 50 that have hedge funds in their portfolio would most accurately be described as:

A. a binomial random variable.

B. a Bernoulli random variable.

C. a continuous random variable.

D. multivariate random variables.

  
Correct answer = A

"Common Probability Distributions," Richard A. Defusco, Dennis W. McLeavey, Jerald E. Pinto, and David E. Runkel
2008 Modular Level I, Vol. 1, pp. 374-377
Study Session 3-9-d
define a discrete uniform random variable and a binomial random variable, calculate and interpret probabilities given the discrete uniform and the binomial distribution functions, and construct a binomial tree to describe stock price movement
This is a Bernoulli trial because a U.S. pension fund either has investments in hedge funds or it does not; i.e., the experiment must have one of two outcomes. A binomial random variable is defined as the number of successes in n Bernoulli trials. 

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