- CFA Exams
- CFA Level I Exam
- Study Session 3. Quantitative Methods (2)
- Reading 9. Common Probability Distributions
- Subject 8. The Standard Normal Distribution
CFA Practice Question
The lifetime of a 2-volt non-rechargeable battery in constant use has a normal distribution with a mean of 516 hours and a standard deviation of 20 hours. Ninety percent of all batteries have a lifetime less than ______.
A. 517.28 hours
B. 536.00 hours
C. 541.60 hours
Explanation: The z-value corresponding to the proportion 0.9000 is 1.28. We need to use the formula x = u + z σ, where z = 1.28, to get the correct answer, or x = 516 + 1.28 x 20 = 541.6.
User Contributed Comments 5
User | Comment |
---|---|
awlhoaln | how to get z value is 1.28 ? |
johnsk | from the z-table. |
danlan | prob(z<1.645) = 95% and prob(z<1.28)=90%. Note 1.645 used for 5% significance level is for two tail and not one tail! |
dimanyc | how to get z value for 95%? memorize all your 90%, 95% and 99% values for both both 1 and 2-tailed tests |
gaetmichel | table will be provided at the exam |