# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 362 - 366 of 472

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## Question 362

### Question

MCQ▾A waitress earns varying tips with a mean of ₹ 10.90 with a standard deviation of ₹ 5.60. Assume on the weekend she gets 60 tips. What is the probability she earns ₹ 750 or more?

### Choices

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

a. | 0.134 | |

b. | 0.866 | |

c. | 0.742 | |

d. | 0.258 |

## Question 363

### Question

MCQ▾If and are two random variables such that . Then which of the following is correct?

### Choices

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

a. | and are both continuous distributions. | |

b. | and have no relation. | |

c. | and have same distribution. | |

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

## Question 364

### Question

MCQ▾Which of the following statement is/are correct?

### Choices

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

a. | The characteristic function of random variable uniquely characterizes its distribution. | |

b. | Two or more random variables cannot follow same characteristic function. | |

c. | All of the above | |

d. | None of the above |

## Question 365

### Question

MCQ▾If follows an exponential distribution with , then what is the bound of using Tchebycheff՚s Inequality?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 366

### Question

MCQ▾For any random variable , its characteristic function is uniformly continuous on and satisfies following properties________ always.

### Choices

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

a. | , where for a complex number, denote the conjugate. | |

b. | ||

c. | ||

d. | All of the above |