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26 Oct 2021
Given information
A ballet instructor is interested to know what percentage of each year’s class will be continued on to the next so that she can plan what classes to offer. Over the years, she has established the following probability distribution where
denotes the number of years a student will study ballet with the teacher
denotes the probability of studying for those years.
Step-by-step explanation
Step 1.
As we know, the probabilities of mutually exclusive events can be added. Mutually exclusive events are like that if one event happens then others will not happen.
For 
can only take value 1 or 2 or 3. So, these probabilities can be added. i.e.,
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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