Question
Asked Oct 8, 2019
21 views
Dogs
0
1
2
3
4
5
 
Probability
0.631
0.230
0.092
0.025
0.016
0.006
​(a) Find the​ mean, variance, and standard deviation of the probability distribution.
check_circle

Expert Answer

Step 1

Mean:

The general formula to obtain the expected value (mean) of a discrete random variable is,

E(X) = ∑X*P(X)

The mean of the variable x is obtained as 0.583 from the calculation given below:

E(x) -Συχ P(x)
'0xP(x0)1xP(x =1)+2x P(x 2)
+3x P(x 3)+4x P(x= 4) +5xP(x= 5)
0x0.6311x0.2302 x 0.092
+3 x0.025 4x 0.016
5x0.006
=0 0.2300.184 +0.075 +0.064 +0.03
0.583
help_outline

Image Transcriptionclose

E(x) -Συχ P(x) '0xP(x0)1xP(x =1)+2x P(x 2) +3x P(x 3)+4x P(x= 4) +5xP(x= 5) 0x0.6311x0.2302 x 0.092 +3 x0.025 4x 0.016 5x0.006 =0 0.2300.184 +0.075 +0.064 +0.03 0.583

fullscreen
Step 2

Variance:

The general formula to obtain the expected value (mean) of a discrete random variable is,

V(X) = ∑X2*P(...

E(s)-ΣέxP's)|
'02x P(x 0)+1 x P(x 1)22x P(x 2)
+3 x P(x=3)+4?xP(x4)+5xP(x=5)
0+0.230 0.368+0.225+0.256+0.15
=1.229
V(x) = 1.229- (0.583)
=0.8891
help_outline

Image Transcriptionclose

E(s)-ΣέxP's)| '02x P(x 0)+1 x P(x 1)22x P(x 2) +3 x P(x=3)+4?xP(x4)+5xP(x=5) 0+0.230 0.368+0.225+0.256+0.15 =1.229 V(x) = 1.229- (0.583) =0.8891

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Greg wants to estimate the percentage of people who lease a car. He surveys 340 individuals and find...

A: Sample proportion:Here, the proportion p-cap denotes the people who lease a car. That is, the sample...

question_answer

Q: As these researchers state, “Robbing a bank is the staple crime of thrillers, movies and newspapers....

A: Note:Hey there! Thank you for posting the question. As your question has more than 3 parts, we have ...

question_answer

Q: In psychology, what are two factors that decrease statistical power?

A: Factors that affect power are There are 3 factors that affect power are :-• Sample size (n) : - Grea...

question_answer

Q: A meteorologist is concerned about the number of tornadoes in her county. Using data from the past 1...

A: (a)Here, the claim is that true proportion of days with a tornado during peak season is greater than...

question_answer

Q: A random sample of 10 exam scores showed a standard deviation of 6.4 points. Find the 95 percent con...

A: Given Datan = 10D.O.F = n – 1 = 9standard Deviation = 6.4

question_answer

Q: Chamberlain Univer... Fage 1.2. Personal Computer... Free ethical and leg... Use the normal distribu...

A: Given test scores are normally distributed with mean 600 and standard deviation of 85.With reference...

question_answer

Q: **Please show how to do by hand.   4) Social Media Usage. The Pew Research Center has conducted exte...

A: 1.The 95% confidence interval for the proportion of adults aged 18 to 24 who use Snapchat is obtaine...

question_answer

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support...

A: Here, there is no information about the population parameter. Hence, use the conservative estimate p...

question_answer

Q: what is the normal curve?  explanations and examples would help. I am very grateful.

A: A normal curve is a well- shaped curve that shows the probability distribution of continuous random ...