# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 343 - 347 of 472

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## Question 343

### Question

MCQ▾Suppose and are independent exponential random variables with parameter . If . Then the marginal distribution of or will follow ________.

### Choices

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

a. | Poisson distribution with parameter | |

b. | Exponential distribution with parameter | |

c. | Exponential distribution with parameter | |

d. | None of the above |

## Question 344

### Question

MCQ▾Suppose that the income of a randomly chosen person in a certain population (in $ 1000 units) has the lognormal distribution with parameters μ = 2 and σ = 1. Find the value of .

### Choices

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

a. | 8.5063 | |

b. | 12.1825 | |

c. | 6.1255 | |

d. | All of the above |

## Question 345

### Question

MCQ▾Suppose that and are independent continuous random variables with the following density functions:

for and

What is the value of ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 346

### Question

MCQ▾Let be a random variable with support and distribution function

Then the distribution function of is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 347

### Question

MCQ▾If in probability, then there exists a subsequence of such that ________.

### Choices

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

a. | as with probability 1. | |

b. | in the -th mean | |

c. | almost everywhere | |

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