given below are tables or formulas which might represent a discrete probability distribution. If it could ne a discrete probability distribution write "yes". If the information given in the table or formula could not represent a discrete probability, write "no" AND explain why it can't represent a discrete probability? d)x12322P (X = x).1.2.3.4 e)x-1012P (X = x).4.3.2.1 f) P (X = x) = x^2 / 50 ; x = 2, 3, 4 , 5 g) P (X = x) = x / 20 ; x = 2, 3, 4, 5, 6

Question
Asked Sep 11, 2019

given below are tables or formulas which might represent a discrete probability distribution. If it could ne a discrete probability distribution write "yes". If the information given in the table or formula could not represent a discrete probability, write "no" AND explain why it can't represent a discrete probability?

 

d)

x 1 2 3 22
P (X = x) .1 .2 .3 .4

 

e)

x -1 0 1 2
P (X = x) .4 .3 .2 .1

 

f) 

P (X = x) = x^2 / 50 ; x = 2, 3, 4 , 5

 

g) P (X = x) = x / 20 ; x = 2, 3, 4, 5, 6

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Expert Answer

Step 1

Discrete probability distribution:

If the given random variable is discrete random variable, then its probability distribution is known as discrete probability distribution.

The conditions for discrete probability distribution is given below:

The probability value is between 0 and 1.

Sum of all probabilities is 1.

(d)

The sum of probabilities is obtained as follows:

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Step 2

Here, the sum of probabilities is equal to 1. Hence, the condition for

discrete probability distribution is satisfied. Hence, the given table represent the discrete probability distribution.

(e)

The sum of probabilities is obtained as follows:

P(X x) 0.4+0.3+0.2 0.1
=1
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Image Transcriptionclose

P(X x) 0.4+0.3+0.2 0.1 =1

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Step 3

Here, the sum of probabilities is equal to 1. Hence, the condition for

discrete probability distribution is satisfied. Hence, the given table r...

x
P(Xx)
50
22
0.08
50
2
32
-0.18
50
3
42
=0.32
50
4
52
= 0.5
50
5
P(X x)1.08
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Image Transcriptionclose

x P(Xx) 50 22 0.08 50 2 32 -0.18 50 3 42 =0.32 50 4 52 = 0.5 50 5 P(X x)1.08

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