# Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 93 - 96 of 205

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## Question number: 93

» Probability » Probability Distributions » Binomial

### Question

Examine the following curves and choose the incorrect option regarding them.

### Choices

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

a. | A and B both follows binomial distribution | |

b. | A and B have same small value of the number of independent trials. | |

c. | B have large probability of success. | |

d. | None of the above |

## Question number: 94

» Probability » Distribution Functions and Properties

### Question

Which of the following is/are not correct regarding cumulative distribution function?

### Choices

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

a. | Two random variables cannot have same cumulative distribution function. | |

b. | Two different cumulative distribution functions cannot correspond to single random variable. | |

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

d. | None of the above |

## Question number: 95

» Probability » Bayes' Theorem and Applications

### Question

Suppose there is a school with 40 % boys and 60 % girls as its students. The female students wear trousers or skirts in equal numbers; the boys all wear trousers. An observer sees a (random) student from a distance, and what the observer can see is that this student is wearing trousers. What is the probability this student is a girl?

### Choices

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

a. | 0.552 | |

b. | 0.250 | |

c. | 0.428 | |

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

## Question number: 96

» Probability » Probability Distributions » Negative Binomial

### Question

A standard, fair die is thrown until 5 sixes occur. Let denote the number of throws. Then variance of is ________.

### Choices

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

a. | 900 | |

b. | 150 | |

c. | 250 | |

d. | All of the above |