# Probability-Distribution Functions and Properties (ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 5 of 5

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## Question number: 1

» Probability » Distribution Functions and Properties

### Question

Let X be a continuous random variable with the following PDF

where, is a positive constant. The value of is?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 1 | |

b. |
| |

c. | 2 | |

d. | All of the above |

## Question number: 2

» Probability » Distribution Functions and Properties

### Question

Which of the following options could be the example of cumulative distribution function?

### Choices

Choice (4) | Response | |
---|---|---|

a. | A, B and D | |

b. | C and D | |

c. | A, B and C | |

d. | None of the above |

## Question number: 3

» Probability » Distribution Functions and Properties

### Question

Let be defined as follows:

For to be a cumulative distribution function, given is positive, following statement is correct:

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. | None of the above | |

d. | All of the above |

## Question number: 4

» Probability » Distribution Functions and Properties

### Question

Which of the following statement is/are incorrect regarding a cumulative distribution function ?

### Choices

Choice (4) | Response | |
---|---|---|

a. | is continuous from the right. | |

b. | have limits from left | |

c. | is increasing | |

d. | None of the above |

## Question number: 5

» Probability » Distribution Functions and Properties

### Question

Which of the following is/are not correct regarding cumulative distribution function?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Two random variables cannot have same cumulative distribution function. | |

b. | Two different cumulative distribution functions cannot correspond to single random variable. | |

c. | Question does not provide sufficient data or is vague | |

d. | All of the above |