Calculate the mean, variance, and standard deviation of this probability distribution. (Show all work) .Round final answers to 2 decimal places Mean: Variance: Standard deviation:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section3.1: Functions
Problem 44E
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Calculate the mean, variance, and standard deviation of this probability distribution. (Show all work) .Round final answers to 2 decimal places

Mean:

Variance:

Standard deviation:

Patients per
hour: (X)
1
2
4
5
Probability:
P(X)
0.27
0.35
0.18
0.12
0.06
0.02
3.
Transcribed Image Text:Patients per hour: (X) 1 2 4 5 Probability: P(X) 0.27 0.35 0.18 0.12 0.06 0.02 3.
Expert Solution
Step 1

Mean=E(X)=X P(X)          =(0 * 0.27)+(1 * 0.35)+(2 * 0.18)+(3 * 0.12)                +(4 * 0.06)+(5 * 0.02)          =1.41

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