Math

StatisticsProbability and Statistics for Engineering and the SciencesA branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F ( x ) = { 0 x < 1 .60 0 ≤ x < 1 .19 1 ≤ x < 2 .39 2 ≤ x < 3 .67 3 ≤ x < 4 .92 4 ≤ x < 5 .97 5 ≤ x < 6 1 6 ≤ x Calculate the following probabilities directly from the cdf: a. p (2), that is, P ( X = 2) b. P ( X > 3) c. P (2 ≤ X ≤ 5) d. P (2 < X < 5)BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 3.2, Problem 23E

Textbook Problem

A branch of a certain bank in New York City has six ATMs. Let *X* represent the number of machines in use at a particular time of day. The cdf of *X* is as follows:

Calculate the following probabilities directly from the cdf:

**a.***p*(2), that is,*P*(*X*= 2)**b.***P*(*X*> 3)**c.***P*(2 ≤*X*≤ 5)**d.***P*(2 <*X*< 5)

Expert Solution

**a.**

To determine

Find

**Given info:**

In New York, a branch of a certain bank has 6 ATMs. Let *X* be the number of machines in use at a particular time of the day. The cdf is given by:

Expert Solution

**b.**

To determine

Find the value of

Expert Solution

**c.**

To determine

Find the value of

Expert Solution

**d.**

To determine

Find the value of

Probability and Statistics for Engineering and the Sciences

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