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)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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4.1.4

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)
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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