# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 255 - 259 of 472

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## Question 255

### Question

MCQ▾Hospital records show that of patients suffering from a certain disease, 85 % die of it. What is the probability that of 5 randomly selected patients, 4 will recover?

### Choices

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

a. | 0.0021 | |

b. | 0.0454 | |

c. | 0.0254 | |

d. | All of the above |

## Question 256

### Question

MCQ▾The characteristic function of standard Cauchy distribution is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 257

### Question

MCQ▾Which of the following statement is/are correct regarding De Moivre – Laplace theorem?

### Choices

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

a. | It is valid for very large values of n. | |

b. | It states that the normal distribution may be used as an approximation to the binomial distribution. | |

c. | It is a special case of the Chebyshev՚s inequality. | |

d. | All of the above |

## Question 258

### Question

MCQ▾A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed. What is the probability that the first head appears at an even numbered toss?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 259

### Question

MCQ▾A factory produces chocolates which are where quantity measured in grams. Chocolates which are lighter than 3.5 gram or heavier than 4.4 gram are rejected. Out of a bunch of 100 chocolates how many would be acceptable?

### Choices

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

a. | 47 | |

b. | 90 | |

c. | 86 | |

d. | 72 |