# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 163 - 167 of 205

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: 163

» Probability » Mathematical Expectation and Conditional Expectation

### Question

Let random variables , be independent normal random variables. So if then, which of the following is the characteristic function of if and ?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |

## Question number: 164

» Probability » Tchebycheff's Inequalities

### Question

While tossing 100 coin let count the number of heads. Then what is the bound probability of using Tchebycheff’s Inequality?

### Choices

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

a. | 0.33 | |

b. | 0.50 | |

c. | 0.67 | |

d. | 0.25 |

## Question number: 165

» Probability » Borel 0-1 Law

### Question

For each independent sequence of events , we have________

### Choices

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

a. |
| |

b. |
| |

c. | Both a. and b. are correct | |

d. | None of the above |

## Question number: 166

» Probability » Kolmogorov's Inequalities

### Question

Which of the following statement is correct?

### Choices

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

a. | Chebyshev’s Inequality is an special case of Kroneckers lemma. | |

b. | Chebyshev’s Inequality is an special case of Kolmogorov’s Inequality. | |

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

d. | None of the above |

## Question number: 167

» Probability » Laws of Large Numbers

### Question

Suppose someone wants to estimate Prime minister’s approval rating by asking persons drawn at random from the voter population. Let

Now if he/she want to be confident that he/she is within of the actual approval rating then from how many (minimum number of) people he should ask?

### Choices

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

a. | 1000 | |

b. | 10, 000 | |

c. | 25, 000 | |

d. | 50, 000 |