# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 261 - 264 of 472

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## Question number: 261

» Probability » Probability Distributions » Multinomial

### Question

Out of 10 persons, what is the probability that 2 are poor, 5 are rich, 2 belongs to upper middle class and 1 belongs to lower middle class family? Assuming classification of individuals are independent event and the probability of being poor, rich, upper middle and lower middle are respectively.

### Choices

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

a. | 1.54×10 | |

b. |
| |

c. |
| |

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

## Question number: 262

» Probability » Probability Distributions » Bernoulli

### Question

Suppose that and are the sequence of independent Bernoulli distribution with parameter and respectively. Let be a new process such that, . Then will follow ________ distribution with ________?

### Choices

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

a. | Bernoulli, | |

b. | Bernoulli, | |

c. | Non Bernoulli, | |

d. | None of the above |

## Question number: 263

» Probability » Probability Distributions » Rectangular

### Question

If are iid rectangular . Which of the following is correct regarding

### Choices

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

a. | converges in distribution to . | |

b. | converges in distribution to . | |

c. | converges in distribution to . | |

d. | None of the above |

## Question number: 264

» Probability » Probability Distributions » Normal

### Question

If cars arrive at a parking lot at rate of 50 per hour. Assuming process to be Poisson random variable with The probability that in the next hour the number of cars that arrive at this parking lot will be between 54 and 62 is________.

### Choices

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

a. | 0.5562 | |

b. | 0.7233 | |

c. | 0.9283 | |

d. | 0.2717 |