# ACET (Actuarial Common Entrance Test) Statistics: Questions 33 - 37 of 81

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## Question number: 33

» Discrete Random Variables » Mean, Mode, Median

### Question

A binomial distribution is characterized as (16,0.5) i. e. sample size is 16 and the probability of success is 0.5. The mean and variance of this distribution will be respectively-

### Choices

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

a. | 8,8 | |

b. | 4,4 | |

c. | 4,8 | |

d. | 8,4 |

## Question number: 34

» Probabilities » Conditional Probabilities

### Question

Which of the following refers to the probability of an event given the other has occurred?

### Choices

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

a. | Conditional Probability | |

b. | Joint Probability | |

c. | Posterior Probability | |

d. | Subjective Probability |

## Question number: 35

### Question

Average Income of 50 families is ₹ 3,000. Of these average income of 30 families is ₹ 1,800. Find out the average income of the remaining families?

### Choices

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

a. | ₹ 2,000 | |

b. | ₹ 1,200 | |

c. | ₹ 1,800 | |

d. | None of the above |

## Question number: 36

» Types of Data » Stem-And-Leaf

### Question

In stem and leaf display diagrams used in exploratory analysis, stems are considered as

### Choices

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

a. | Dispersed digits | |

b. | Central digits | |

c. | Trailing digits | |

d. | Leading digits |

## Question number: 37

» Measures of Spread » Skewness

### Question

If in a given Binomial distribution with ‘n’ fixed and , then

### Choices

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

a. | The binomial distribution will be skewed to the left | |

b. | The Poisson distribution will provide a good approximation | |

c. | The binomial distribution will be symmetric | |

d. | The binomial distribution will be skewed to the right |