1. A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the probability distribu-tion of X is as given in the accompanying table. 2 K p(x) 0 0.1 1 0.15? 3 4 5 0.25 0.2 0.06 6 0.04 a) Find p(2). b) Calculater the probability of each of the following events. (1) (at most 4 lines are in use} (n) {fewer than 4 lines are in use} (iii) (at least 2 lines are in use} (iv) (between 3 and 5 lines, inclusive, are in use) (v) (between 2 and 5 lines, inclusive, are not in use} (vi) (at least 3 lines are not in use) c) Find the edf of X.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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STAT 3128: HW
1. A mail-order computer business has six telephone lines. Let X denote
the number of lines in use at a specified time. Suppose the probability
distribu- tion of X is as given in the accompanying table.
2
X
p(x)
0 1
0.1 0.15 ?
5
3 4
0.25 0.2 0.06
6
0.04
a) Find p(2).
b) Calculater the probability of each of the following events.
(1) (at most 4 lines are in use}
(ii) (fewer than 4 lines are in use)
(iii) (at least 2 lines are in use)
(iv) (between 3 and 5 lines, inclusive, are in use)
(v) (between 2 and 5 lines, inclusive, are not in use}
(vi) (at least 3 lines are not in use)
c) Find the edf of X.
A contractor is required by a county planning department to submit
one, two, three, four, and five forms (depending on the nature of the
project) in applying for a building permit Let Y = {the number of
forms required of the next applicant). The probability that y forms are
Teoured.
- for --
Transcribed Image Text:STAT 3128: HW 1. A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the probability distribu- tion of X is as given in the accompanying table. 2 X p(x) 0 1 0.1 0.15 ? 5 3 4 0.25 0.2 0.06 6 0.04 a) Find p(2). b) Calculater the probability of each of the following events. (1) (at most 4 lines are in use} (ii) (fewer than 4 lines are in use) (iii) (at least 2 lines are in use) (iv) (between 3 and 5 lines, inclusive, are in use) (v) (between 2 and 5 lines, inclusive, are not in use} (vi) (at least 3 lines are not in use) c) Find the edf of X. A contractor is required by a county planning department to submit one, two, three, four, and five forms (depending on the nature of the project) in applying for a building permit Let Y = {the number of forms required of the next applicant). The probability that y forms are Teoured. - for --
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