- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 3. Probability Concepts
- Subject 1. Introduction

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**CFA Practice Question**

For the bar graph of random variable x shown below:

B. P(x > 0) = 0

C. P(x <= 5) = 1

D. expected value of x is 1

A. mean = 1.2

B. P(x > 0) = 0

C. P(x <= 5) = 1

D. expected value of x is 1

Correct Answer: C

The sum of all the P(x)s is 1 for any probability distribution. Now, P(x) <= 5 is the sum of all the P(x)s. So, P(x <= 5) = 1.

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**User Contributed Comments**
7

User |
Comment |
---|---|

Yooo |
P(x)< or = 5 is 1. The P(x)< 5 is approx. .82 |

mtcfa |
This histogram is somewhat misleading, as per the last section the highest value would be 5.5. |

hoiletab |
That's what i was led to believe initially but really and truly none of the other answers can be logically considered. I think this is a case of choosing the best suited answer is you have a problem interpreting the data. agree? |

adenisov |
Well, that's the point how to understand the picture. I saw it as x is integer, not real, so the is only 6 possible outcomes. Like a dice with different weights on sides. |

surjoy |
Thats not how I interpreted. P(x=50) = .2 P(x=4) = .35 P(x=3) = .3 p(x=2) = .15 p(x=1) = 0 |

johntan1979 |
Not perfect but C is the best possible answer. All other options are way off. |

khalifa92 |
all probabilities are x<=5 |