×
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 55e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 55e

×

# Refer to Exercise 4.54. Suppose that measurement errors ISBN: 9780495110811 47

## Solution for problem 55E Chapter 4

Mathematical Statistics with Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Mathematical Statistics with Applications | 7th Edition

4 5 1 278 Reviews
30
3
Problem 55E

Problem 55E

Refer to Exercise 4.54. Suppose that measurement errors are uniformly distributed between −0.02 to +0.05 μs.

a What is the probability that a particular arrival-time measurement will be accurate to within 0.01 μs?

b Find the mean and variance of the measurement errors.

Reference

In using the triangulation method to determine the range of an acoustic source, the test equipment must accurately measure the time at which the spherical wave front arrives at a receiving sensor. According to Perruzzi and Hilliard (1984), measurement errors in these times can be modeled as possessing a uniform distribution from −0.05 to +0.05 μs (microseconds).

a What is the probability that a particular arrival-time measurement will be accurate to within 0.01 μs?

b Find the mean and variance of the measurement errors.

Step-by-Step Solution:

Solution:

Step 1 of 2:

Suppose that measurement errors are uniformly distributed between -0.02 to +0.05 a). To find the probability that a particular arrival-time measurement will be accurate to within 0.01 μs.

Let Y denote the amount of measurement error.

Then Y is uniform on the interval (-0.02, 0.05) Step 2 of 2

##### ISBN: 9780495110811

Unlock Textbook Solution