A statistical analysis of 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally distributed, with a mean of 260 seconds and a standard deviation of 50 seconds. Complete parts (a) through (d). a. What is the probability that a call lasted less than 180 seconds? The probability that a call lasted less than 180 seconds is (Round to four decimal places as needed.) b. What is the probability that a call lasted between 180 and 340 seconds? The probability that a call lasted between 180 and 340 seconds is (Round to four decimal places as needed.) c. What is the probability that a call lasted more than 340 seconds? The probability that a call lasted more than 340 seconds (Round to four decimal places as needed.) d. What is the length of a call if only 5% of all calls are shorter? 5% of the calls are shorter than seconds. (Round to two decimal places as needed.)

A statistical analysis of 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally distributed, with a mean of 260 seconds and a standard deviation of 50 seconds. Complete parts (a) through (d). a. What is the probability that a call lasted less than 180 seconds? The probability that a call lasted less than 180 seconds is (Round to four decimal places as needed.) b. What is the probability that a call lasted between 180 and 340 seconds? The probability that a call lasted between 180 and 340 seconds is (Round to four decimal places as needed.) c. What is the probability that a call lasted more than 340 seconds? The probability that a call lasted more than 340 seconds (Round to four decimal places as needed.) d. What is the length of a call if only 5% of all calls are shorter? 5% of the calls are shorter than seconds. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A statistical analysis of 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally distributed, with a mean of 260 seconds and a standard deviation of 50 seconds. Complete parts
(a) through (d).
a. What is the probability that a call lasted less than 180 seconds?
The probability that a call lasted less than 180 seconds is
(Round to four decimal places as needed.)
b. What is the probability that a call lasted between 180 and 340 seconds?
The probability that a call lasted between 180 and 340 seconds is
(Round to four decimal places as needed.)
c. What is the probability that a call lasted more than 340 seconds?
The probability that a call lasted more than 340 seconds|
(Round to four decimal places as needed.)
d. What is the length of a call if only 5% of all calls are shorter?
5% of the calls are shorter than seconds.
(Round to two decimal places as needed.)

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