Mathematics: Use the information below for questions 5 - 11. let x denote the number of telephone lines in use at an online business. suppose there are 6 lines and p(0) = .1, p(1) = .15, p(2) = .2, p(3) = .25, p(4) = .2, p(5) = .06, and p(6) = .04. first, construct the probability distribution table and derive the cumulative distribution function and use both the answer the following questions. question 8: probability that between 2 and 5 lines, inclusive, are not in use.

1 x 32, 2 x 16 and 4 x 8 are the distinct pairs...

Use the information below for questions 5 - 11.

trevorhenyan51

06.01.2022

Step-by-step explanation:

Given that X denote the number of telephone lines in use at an online business.

The variable x can take values from 0 to 6 and the probability can be tabulated as follows: Cumulative probability is the Prob =P(X<=x)

We want prob that between 2 and 5 lines, inclusive not in use

This is equivalent to

1- $P(2\leq x\leq 5)$

= $1-F(5)+F(2)\\=1-0.96+0.45\\=0.49$

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