An accounting office has 6 incoming telephone lines. The probability distribution of the number of busy lines, X, is as follows: 1 2 4 Total P(X = x;) 0.05 0.12 0.17 0.31 0.19 0.15 0.01 1 1. Use the random variable notation to express symbolically each of the following: An event in which the number of busy lines is exactly 4. The probability of an event in which the number of busy lines is exactly 1. The probability of an event in which the number of busy lines is exactly 4 is equal to 0.19. 2. Use the above probability distribution table to find the following: a. P(1 < X < 3) = (Round the answer to 2 decimals) %3D b. P(0 < X < 3) = c. P(X < 5) = (Round the answer to 2 decimals) %3D (Round the answer to 2 decimals)
An accounting office has 6 incoming telephone lines. The probability distribution of the number of busy lines, X, is as follows: 1 2 4 Total P(X = x;) 0.05 0.12 0.17 0.31 0.19 0.15 0.01 1 1. Use the random variable notation to express symbolically each of the following: An event in which the number of busy lines is exactly 4. The probability of an event in which the number of busy lines is exactly 1. The probability of an event in which the number of busy lines is exactly 4 is equal to 0.19. 2. Use the above probability distribution table to find the following: a. P(1 < X < 3) = (Round the answer to 2 decimals) %3D b. P(0 < X < 3) = c. P(X < 5) = (Round the answer to 2 decimals) %3D (Round the answer to 2 decimals)
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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4.1.4
Transcribed Image Text:An accounting office has 6 incoming telephone lines. The probability distribution of the number of busy
lines, X, is as follows:
1
2
3
4
5
Total
P(X = x;)
0.05
0.12
0.17
0.31
0.19
0.15
0.01
1
1. Use the random variable notation to express symbolically each of the following:
V An event in which the number of busy lines is exactly 4.
v The probability of an event in which the number of busy lines is exactly 1.
The probability of an event in which the number of busy lines is exactly 4
is equal to 0.19.
2. Use the above probability distribution table to find the following:
а. Р(1 < X < 3) -
(Round the answer to 2 decimals)
b. P(0 < X < 3) =
(Round the answer to 2 decimals)
с. Р(X < 5) %3
(Round the answer to 2 decimals)
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