A switchboard at some company receives calls following a probability distribution shown below where the number of calls and the probability of receiving those calls are recorded. X 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12
A switchboard at some company receives calls following a probability distribution shown below where the number of calls and the probability of receiving those calls are recorded. X 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Calculate the probability that the switchboard receives:
Less than four calls.
Between 1 and 7 calls inclusive
At least 5 calls
More than two calls.
Calculate the expected number of calls received at the switchboard
Calculate the variance and standard deviation of the distribution.
![A switchboard at some company receives calls following a probability distribution shown below
where the number of calls and the probability of receiving those calls are recorded.
X
0
1
2
3
4
5
6
7
8
P(x)
0.04
0.05
0.15
0.02
0.28
0.03
0.20
0.11 0.12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F960b2d5b-1317-4839-a7e1-59b1244fac0b%2F259716ed-8cd7-425b-a08b-70d344b44b16%2Frrbccko_processed.png&w=3840&q=75)
Transcribed Image Text:A switchboard at some company receives calls following a probability distribution shown below
where the number of calls and the probability of receiving those calls are recorded.
X
0
1
2
3
4
5
6
7
8
P(x)
0.04
0.05
0.15
0.02
0.28
0.03
0.20
0.11 0.12
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