# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 283 - 286 of 472

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## Question number: 283

» Probability » Probability Distributions » Normal

### Question

Suppose a sample of bulbs of same type are obtained at random from an ongoing production process in which of all such bulbs produced are defective. What is the probability that I such a sample 150 or fewer bulbs will be defective?

### Choices

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

a. | 0.975 | |

b. | 0.535 | |

c. | 0.725 | |

d. | 0.025 |

## Question number: 284

» 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: 285

» 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. | All of the above |

## Question number: 286

» 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. | 0.428 | |

b. | 0.250 | |

c. | 0.552 | |

d. | All of the above |