Let's define the random variable X to be the number of goals scored by a randomly selected team in a randomly selected game. The table below gives the probability distribution of X: 4 5 7 Probability: 0.061 0.154 0.228 0.229 0.173 0.094 0.041 0.015 0.004 0.001 Goals: 0 1 2 3 a. Compute the expected value of the random variable X. E(X)= type your answer..... b. Compute the standard deviation of the random variable X. SD (X)= type your answer..... goals goals 6 8 9

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...
icon
Related questions
Question
Let's define the random variable X to be the number of goals scored by a randomly selected team in a randomly selected game. The table below gives the
probability distribution of X:
Goals:
0
e
d
C
1
7
9
Probability: 0.061 0.154 0.228 0.229 0.173 0.094 0.041 0.015 0.004 0.001
a. Compute the expected value of the random variable X.
E(X)= type your answer....
C
$
b. Compute the standard deviation of the random variable X.
SD (X)= type your answer...
4
2
L
f
3
un do
%
5
goals
4
goals
t
g
>
5
<10
6
JUL
b
6
DELL
y
h
V &
8
J
U
j
8
i
9
k
0
V
CO
1
alt
31
P
ctri
Transcribed Image Text:Let's define the random variable X to be the number of goals scored by a randomly selected team in a randomly selected game. The table below gives the probability distribution of X: Goals: 0 e d C 1 7 9 Probability: 0.061 0.154 0.228 0.229 0.173 0.094 0.041 0.015 0.004 0.001 a. Compute the expected value of the random variable X. E(X)= type your answer.... C $ b. Compute the standard deviation of the random variable X. SD (X)= type your answer... 4 2 L f 3 un do % 5 goals 4 goals t g > 5 <10 6 JUL b 6 DELL y h V & 8 J U j 8 i 9 k 0 V CO 1 alt 31 P ctri
Expert Solution
Step 1

Mean(μ)=E(X)=x.P(X)E(X2)=x2.P(X)variance(σ2)=E(X2)-(E(X))2Standard deviation(σ)=E(X2)-(E(X))2

 

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON