# Probability-Moment and Probability Generating Functions (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 5 - 7 of 7

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **404** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

## Question number: 5

» Probability » Moment and Probability Generating Functions

### Question

A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 6

» Probability » Moment and Probability Generating Functions

### Question

Suppose that is a random variable taking values in N. The probability generating function of will satisfy the following properties.

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 7

» Probability » Moment and Probability Generating Functions

### Question

If and are independent, then what is the distribution of ?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |