X4P(X) 0.0550.1Send data to Excel60.3 0.1 0.15Find the mean. Do not round your answer.Mean: μ = 7.190.3Find the variance. Round your answ to one decimal place as needed.Variance: ² = 2.8

A 5 P(X) 0.05 0.1 4 Send data to Excel 6 7 8 9 0.3 0.1 0.15 0.3 Find the mean. Do not round your answer. Mean: u = 7.1 Find the variance. Round your answer to one decimal place as needed. 8² Variance: = 2.8 6

A 5 P(X) 0.05 0.1 4 Send data to Excel 6 7 8 9 0.3 0.1 0.15 0.3 Find the mean. Do not round your answer. Mean: u = 7.1 Find the variance. Round your answer to one decimal place as needed. 8² Variance: = 2.8 6

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

X
4
P(X) 0.05
5
0.1
Send data to Excel
6
0.3 0.1 0.15
Find the mean. Do not round your answer.
Mean: μ = 7.1
9
0.3
Find the variance. Round your answ to one decimal place as needed.
Variance: ² = 2.8

Expert Solution

Step 1

Sol:-

Mean:-

$I n o r d e r t o f i n d t h e m e a n (e x p e c t a t i o n) o f t h e g i v e n d i s t r i b u t i o n, w e w i l l u s e t h e f o l l o w i n g f o r m u l a : μ = \sum_{i} x_{i} * p (x_{i}) S o, f i r s t w e n e e d t o m u l t i p l y e a c h v a l u e o f X b y e a c h p r o b a b i l i t y P (X), t h e n a d d t h e s e r e s u l t s t o g e t h e r . μ = 4 * 0.05 + 5 * 0.1 + 6 * 0.3 + 7 * 0.1 + 8 * 0.15 + 9 * 0.3 = 7.1 μ = 7.1$

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