# Probability-Moment and Probability Generating Functions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 1 - 4 of 7

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## Question number: 1

» Probability » Moment and Probability Generating Functions

### Question

For a random variable , if we have the moment generating function , for . Then the distribution of is ________.

### Choices

Choice (4) | Response | |
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a. |
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b. |
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c. |
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d. | Question does not provide sufficient data or is vague |

## Question number: 2

» Probability » Moment and Probability Generating Functions

### Question

If and are independent discrete random variables with the non-negative integers as range, and with distribution function then, what is the distribution of ?

### Choices

Choice (4) | Response | |
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a. | Poission distribution | |

b. | Geometric distribution | |

c. | Negative binomial distribution | |

d. | None of the above |

## Question number: 3

» Probability » Moment and Probability Generating Functions

### Question

Let be independent count r. v. s. If the are identically distributed, each with Probability generating function then has Probability generating function________.

### Choices

Choice (4) | Response | |
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a. |
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b. |
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c. |
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d. | None of the above |

## Question number: 4

» Probability » Moment and Probability Generating Functions

### Question

Suppose that and are independent random variables taking values in N, with probability generating functions and having radii of convergence and , respectively. Then the probability generating function of is given by________ for .

### Choices

Choice (4) | Response | |
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a. |
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b. |
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c. |
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d. | None of the above |