# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 380 - 383 of 472

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## Question 380

### Question

MCQ▾A hen lays eggs, where . Each egg hatches with probability , independently of the other eggs. Find the probability distribution of number of chicks,

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 381

### Question

MCQ▾Let be a ramdom variable and . A sample of size is taken from this population. What is the probability that the sum of these observations is less than ?

### Choices

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

a. | ||

b. | 0.0062 | |

c. | ||

d. |

## Question 382

### Question

MCQ▾From past experience, it is known that the number of tickets purchased by a student standing in line at the ticket window for the cricket match of India against Srilanka follows a distribution that has mean and standard deviation . Suppose that few hours before the start of one of these matches there are eager students standing in line to purchase tickets. If only tickets remain, what is the probability that all students will be able to purchase the tickets they desire?

### Choices

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

a. | 0.6915 | |

b. | 0.0095 | |

c. | 0.3085 | |

d. | 0.9905 |

## Question 383

### Question

MCQ▾Suppose we choose at random numbers from the interval with uniform distribution. If describes the th choice and , then which of the following is correct?

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |