Free Online CFA Level 1 Mock Exam 3

Quantitative Methods

4. It is least likely for a binomial random variable that:

A. the standard deviation of the variable is np(1 – p).

B. the probability of success, p, is constant for all trials.

C. the experiment has only two outcomes.

Correct Answer: A

Answer Explanation:

The variance of a binomial random variable is equal to np(1-p), which implies that its standard deviation is √np(1-p).

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5. Choosing not to reject the null hypothesis that “the investment-grade bonds we are considering purchasing yield more than 0%” is likely:

A. statistical decision.

B. economic decision.

C. investment decision.

Correct Answer: A

Answer Explanation:

Rejecting or not rejecting the null hypothesis is a statistical decision that subsequently affects economic or investment decisions.

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6. Which of the following is least likely to be true for a normal probability distribution?

A. It has an excess kurtosis of 3.0.

B. The mean is equal to the median.

C. It is completely described by its mean and (or standard deviation).

Correct Answer: A

Answer Explanation:

The normal distribution has a kurtosis of 3 and an excess kurtosis of 0. The distribution is symmetric, so the mean is equal to the median. It can be fully described by two parameters – the mean and the variance (or standard deviation).

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