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Reading 9: Common Probability Distributions - LOS f, (Part

Q1. The lower limit of a normal distribution is:

A)     negative one.

B)     negative infinity.

C)     zero.

Q2. A client will move his investment account unless the portfolio manager earns at least a 10% rate of return on his account. The rate of return for the portfolio that the portfolio manager has chosen has a normal probability distribution with an expected return of 19% and a standard deviation of 4.5%. What is the probability that the portfolio manager will keep this account?

A)   0.950.

B)   0.750.

C)   0.977.

Q3. A portfolio manager is looking at an investment that has an expected annual return of 10% with a standard deviation of annual returns of 5%. Assuming the returns are approximately normally distributed, the probability that the return will exceed 20% in any given year is closest to:

A)  0.0%.

B)  4.56%.

C)  2.28%.

Q4. If X has a normal distribution with μ = 100 and σ = 5, then there is approximately a 90% probability that:

A)   P(91.8 < X < 108.3).

B)   P(93.4 < X < 106.7).

C)   P(90.2 < X < 109.8).

Q5. Which of the following statements about a normal distribution is least accurate?

A)   Approximately 34% of the observations fall within plus or minus one standard deviation of the mean.

B)   The distribution is completely described by its mean and variance.

C)   Kurtosis is equal to 3.

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