# Statistics and Probability [NDA (National Defense Academy) Mathematics]: Questions 8 - 12 of 41

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## Question number: 8

» Statistics and Probability » Random Variable as Function on a Sample Space

Appeared in Year: 2012

### Question

- A continuous random variable can take all value in an interval.
- A random variable which take a finite number of values is necessarily discrete.
- Construction of a frequency distribution is based on data, which are discrete.

Which of the above statements are correct?

### Choices

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

a. | and only | |

b. | and only | |

c. | and only | |

d. | and |

## Question number: 9

» Statistics and Probability » Binomial Distribution

### Question

The value of the term independent of in the expansion of is:

### Choices

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

a. | 15 | |

b. | 40 | |

c. | 0 | |

d. | 5 |

## Question number: 10

» Statistics and Probability » Definition of Probability

Appeared in Year: 2012

### Question

What is the number of ways that boys and girls can be seated so that boys and girls alternate?

### Choices

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

a. | 12 | |

b. | 120 | |

c. | 144 | |

d. | 72 |

## Question number: 11

» Statistics and Probability » Union and Intersection of Events

### Question

Out of first year students, passes in first semester and passed in the second semester. If did not pass in either semester, how many passed in both semesters?

### Choices

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

a. | 80 | |

b. | 60 | |

c. | 40 | |

d. | 100 |

## Question number: 12

» Statistics and Probability » Union and Intersection of Events

Appeared in Year: 2012

### Question

Out of first year students, passes in first semester and passed in the second semester. If did not pass in either semester, how many passed in both semesters?

### Choices

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

a. | 40 | |

b. | 140 | |

c. | 70 | |

d. | 30 |