# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 249 - 254 of 472

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## Question 249

### Question

MCQ▾The characteristic function of standard Laplace distribution is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 250

### Question

MCQ▾Suppose that and are independent random variables for an experiment, and that Negative Binomial distribution and Negative Binomial distribution . Then

### Choices

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

a. | Binomial distribution | |

b. | Negative Binomial distribution | |

c. | Negative Binomial distribution | |

d. | None of the above |

## Question 251

### Question

MCQ▾Which of the following statement is correct regarding the pdf of standard Cauchy distribution?

### Choices

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

a. | It increases and then decreases, with mean . | |

b. | It is concave upward, then downward, and then upward again, with inflection points at . | |

c. | It is symmetric about its mean. | |

d. | None of the above |

## Question 252

### Question

MCQ▾If are i. i. d with standard normal distributions, the value of so that the random variable has a t-distribution is________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 253

### Question

MCQ▾The moment generating function of standard Laplace distribution is ________,

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 254

### Question

MCQ▾The ratio of boys to girls at birth in Malda is at 1.05: 1. What proportion of Malda families with exactly 4 children will have exactly 2 boys? (Ignore the probability of multiple births.)

### Choices

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

a. | 0.5324 | |

b. | 0.4266 | |

c. | 0.2788 | |

d. | 0.3745 |