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A table is shown below that shows some of the individual and/or cumulative probabilities for a discrete random variable which has a possible values at all integers from 0-20.a) fill in the missing values that you can find for the table from the given information. FInd the probability that X is ...b) ...at most 18c) ...less than d) ...less thanf) ...more than 4g) ...between 4 and 16, inclusivepossible valuesindividual probabilitiescumulative probabilitiesx P (X = x) P (X <_ x)0.032 1.051 2 .1003.044 4 .1865.034 16.029..81617.035 18 .90019.081 20

Question

A table is shown below that shows some of the individual and/or cumulative probabilities for a discrete random variable which has a possible values at all integers from 0-20.

a) fill in the missing values that you can find for the table from the given information.

FInd the probability that X is ...

b) ...at most 18
c) ...less than 

d) ...less than

f) ...more than 4

g) ...between 4 and 16, inclusive

possible values individual probabilities cumulative probabilities
x  P (X = x)  P (X <_ x)
0 .032  
1 .051  
2   .100
3 .044  
4   .186
5 .034  
16 .029. .816
17 .035  
18   .900
19 .081  
20    
check_circleAnswer
Step 1

Enter the data in the excel same as given in the question  and the following formulas in the blanks to get the results

C
E
individual probabilities
36 possible values
cumulative probabilities
P (X<x)
O.032
P (X x)
37
38 0
0.032
30
1
0.051
E38+D39
40 2
E40-E39
0.1
41 3
E40+D41
0.044
42
4
-E42-E41
0.186
-E42+ D43
43 5
0.034
44 16
0.029
0.249
45 17
0.035
0.284
46 18
E46-E45
0.9
47 19
0.081
=E46+D47
- 1 - E47
48 20
1
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C E individual probabilities 36 possible values cumulative probabilities P (X<x) O.032 P (X x) 37 38 0 0.032 30 1 0.051 E38+D39 40 2 E40-E39 0.1 41 3 E40+D41 0.044 42 4 -E42-E41 0.186 -E42+ D43 43 5 0.034 44 16 0.029 0.249 45 17 0.035 0.284 46 18 E46-E45 0.9 47 19 0.081 =E46+D47 - 1 - E47 48 20 1

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Step 2

In discrete random variable

η
Σ
P(x)1
i-1
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η Σ P(x)1 i-1

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Step 3

The following result is obtained 

The missing values is shown in green colour,...

36 possible values
individual probabilities
cumulative probabilities
37 x
P (X<_x)
P (X x)
0.032
38
0
0.032
39
1
0.051
0.083
40
2
0.017
0.1
41
3
0.044
0.144
0.186
42
4
0.042
43
5
0.034
0.22
44
16
0.029
0.249
0.284
45
17
0.035
46
18
0.616
0.9
47
19
0.081
0.981
0.019
48
20
1
st
LC
LC
help_outline

Image Transcriptionclose

36 possible values individual probabilities cumulative probabilities 37 x P (X<_x) P (X x) 0.032 38 0 0.032 39 1 0.051 0.083 40 2 0.017 0.1 41 3 0.044 0.144 0.186 42 4 0.042 43 5 0.034 0.22 44 16 0.029 0.249 0.284 45 17 0.035 46 18 0.616 0.9 47 19 0.081 0.981 0.019 48 20 1 st LC LC

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