# ISS Statistics Paper I (New 2016 MCQ Pattern): Questions 387 - 390 of 404

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: 387

» Probability » Central Limit Theorems for Independent Variables

### Question

Suppose that you have a sample of values from a population with mean and standard deviation . What is the probability that the sample mean will be in the interval ?

### Choices

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

a. | 0.1056 | |

b. | 0.8944 | |

c. | 0.7888 | |

d. | 0.2112 |

## Question number: 388

» Probability » Tchebycheff's Inequalities

### Question

Which of the following are correct examples of applications of Chebyshev’s inequality?

### Choices

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

a. | If be a Poisson r. v. with parameter . The probability that deviates from by more than is atmost . | |

b. | If be the number of Heads in tosses of fair coin then the probability that deviates from by more than is at most and the probability that it deviates by more than 5 is atmost . | |

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

d. | None of the above |

## Question number: 389

» Probability » Mathematical Expectation and Conditional Expectation

### Question

Let be random variables, and . Assuming that expectations exist, we have = ________

### Choices

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

a. |
| |

b. |
| |

c. | if and are independent. | |

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

## Question number: 390

» 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 |