Textbook ExpertVerified Tutor
9 Nov 2021
Given information
As per the given question ,
- Number of trials,
= 8, and probability of success, 
= 
% or 
.
Step-by-step explanation
Step 1.
To construct the probability distribution function (PDF) of 
we will use below equation
For a binomial distribution, the probability of exactly 
successes out of 
trials is given by the formula:
where is the probability of success.
Putting = 
in the above formula, the required probability distribution function (PDF) of becomes:
This satisfies the conditions of a PDF as:
- All the probabilities lie between
and 
. - Sum of all probabilities is equal to .
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 114
- Problem 267