# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 123 - 127 of 205

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## Question number: 123

» Probability » Probability Distributions » Random Vectors

### Question

What is the distribution function of a random variable which have following density function?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 124

» Probability » Probability Distributions » Beta

### Question

If then has ________ distribution

### Choices

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

a. | Uniform | |

b. | Normal | |

c. | Cauchy | |

d. | None of the above |

## Question number: 125

» Probability » Modes of Convergences of Sequences of Random Variables » With Probability One

### Question

If as with probability 1 then,

### Choices

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

a. | as in probability. | |

b. | as in r-th mean. | |

c. | as almost everywhere. | |

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

## Question number: 126

» Probability » Probability Distributions » Joint and Marginal Distributions

### Question

The cumulative distribution function for the joint distribution of the continuous random variables and is . What is the value of

### Choices

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

a. | 0.9 | |

b. | 3.2 | |

c. | 4.1 | |

d. | None of the above |

## Question number: 127

» Probability » Probability Distributions » Gamma

### Question

Which of the following property is/are satisfied by a standard Gamma distribution with shape parameter ?

### Choices

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

a. | If , is decreasing with as . | |

b. | If , is concave upward. | |

c. | If , is concave downward and then upward, with inflection point at . | |

d. | All a. , b. and c. are correct |