Number24frDGK"X""P(X)"3.2E-09RUKIA n=5 and p-0.0210.0922370.0037653.7.68E-0547.84E-07473.2E-0931011.11122341314"P(X)" "P(X)"1516171819202122232425 ParagraphStylesur stored credentials are out of date. Please sign in as rmohamed26@student.cscc.edu so we can verify your subscription.VoiceSign Inu.VV 1lai uo you nouct auvut youI SOlutiOIS LO parLS U ana C!3. Use binomial table and graph for n= 5, p= 0.98 to answer the following:a. What is the shape of the binomial distribution when p 0.98?b. Use the Excel table and your TI-84 to find the mean and standard deviation of this binomialprobability distribution. (Enter the probability column without rounding)Mean =Frandard Deviation =c. Now use the binomial formulas below to find the mean and standard deviation when n= 5 andp=0.98.Mean = µ = n·pStandard Deviation =o = npqd. What do you notice about your solutions to parts b and c?Copyright © 2020 by Dann Marketes and Leslie Smith. All rights reserved. No part of this publication may be reproduced, distributed, or transmitted inany form or by any means, including photocopying, recording, or other electronic or mechanical methods.O FocusAccessibility: Investigate

Answered: 3. Use binomial table and graph for n=…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.5: Other Types Of Equations

Problem 65E

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Question

Number
24
fr
D
G
K
"X"
"P(X)"
3.2E-09
RUKIA n=5 and p-0.02
1
0.092237
0.003765
3.
7.68E-05
4
7.84E-07
4
7
3.2E-09
3
10
1
1.
11
12
2
3
4
13
14
"P(X)" "P(X)"
15
16
17
18
19
20
21
22
23
24
25

Paragraph
Styles
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Voice
Sign In
u.
VV 1lai uo you nouct auvut youI SOlutiOIS LO parLS U ana C!
3. Use binomial table and graph for n= 5, p= 0.98 to answer the following:
a. What is the shape of the binomial distribution when p 0.98?
b. Use the Excel table and your TI-84 to find the mean and standard deviation of this binomial
probability distribution. (Enter the probability column without rounding)
Mean =
Frandard Deviation =
c. Now use the binomial formulas below to find the mean and standard deviation when n= 5 and
p=0.98.
Mean = µ = n·p
Standard Deviation =o = npq
d. What do you notice about your solutions to parts b and c?
Copyright © 2020 by Dann Marketes and Leslie Smith. All rights reserved. No part of this publication may be reproduced, distributed, or transmitted in
any form or by any means, including photocopying, recording, or other electronic or mechanical methods.
O Focus
Accessibility: Investigate

Expert Solution

Step 1

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.

From the given information, n=5 and p=0.98.

The probability mass function for Binomial distribution is,

$P (X) = (\begin{matrix} n \\ x \end{matrix}) p^{x} {(1 - p)}^{n - x} = (\begin{matrix} 5 \\ x \end{matrix}) 0 . 98^{x} {(1 - 0.98)}^{5 - x} = (\begin{matrix} 5 \\ x \end{matrix}) 0 . 98^{x} {(0.02)}^{5 - x}$

Therefore,

X	$P (X) = (\begin{matrix} 5 \\ x \end{matrix}) 0 . 98^{x} {(0.02)}^{5 - x}$
0	3.2E-09
1	7.84E-07
2	7.68E-05
3	0.003765
4	0.092237
5	0.903921

Graph:

Excel Procedure:

Enter the X and P(X) values in Excel.
Select the data in excel.
Go to insert.
Go to insert statistic chart.
click on histogram.

Excel Output:

From the above diagram, the data values are distributed on the right side. That is, the tail exists on left side.

Hence, the shape of the binomial distribution is left skewed.

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