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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question 1
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.
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Expert Solution
Introduction
Discrete variable are countable and finite number of observations. The probability measure the likelihood of the event happening. It can take any value between 0 to 1. The sum of all the probability of the variable is equal to 1. If the probability is 0 then the event does not happen.
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