# ISS (Statistical Services) Statistics Paper I (New 2016 MCQ Pattern): Questions 240 - 242 of 472

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## Question number: 240

» Probability » Probability Distributions » Normal

MCQ▾

### Question

A manufacturer does not know the mean and SD of the diameter of a ball bearing he is producing. However, a machine rejects all bearings larger than 2.5 cm and those under 2 cm in diameter. Out of 5000 ball bearings 9 % are rejected as too small and 6.5 % as too big. What is the mean and standard deviation of the ball bearings produced?

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 241

» Probability » Probability Distributions » Rectangular

MCQ▾

### Question

An n-dimensional rectangular box with sides is to be constructed. The volume is . The edge-length of an n-cube with the same volume as the random box is . Let be i. i. d. uniform random variables over the interval Which of the following statements is/are correct regarding this?

Statements:

1) Expected edge length captures the idea of the volume of the box.

2) Expected edge length does not captures the idea of the volume of the box.

3)

### Choices

Choice (4) Response

a.

1 and 3

b.

3

c.

2 and 3

d.

Question does not provide sufficient data or is vague

## Question number: 242

MCQ▾

### Question

There are 30 people in a room. What is the probability that any two of them celebrate their birthday on the same day? Assume 365 days in a year.

### Choices

Choice (4) Response

a.

0.08

b.

0.5

c.

More than 0.5

d.

Less than 0.5