Question

Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. The discrete probability distribution for the random variable x is given below:

Star Frequency
1 2140
2 2853
3 4734
4 4880
5 10,715

Required:
Construct a discrete probability distribution for the random variable X

Answer 1

`\begin{array}{cc}{Status} & {Probability} & {1} & {0.0845} & {2} & {0.1127} & {3} & {0.1870} & {4} & {0.1927}& {5} & {0.4231} \ \end{array}`

Explanation:

Given

The above table

Required

The discrete probability distribution

The probability of each is calculated as:

`Pr = (Frequency)/(Total)`

Where:

`Total = 2140+ 2853 + 4734 + 4880 + 10715`

`Total = 25322`

So, we have:

`P(1) = (2140)/(25322) = 0.0845`

`P(2) = (2853)/(25322) = 0.1127`

`P(3) = (4734)/(25322) = 0.1870`

`P(4) = (4880)/(25322) = 0.1927`

`P(5) = (10715)/(25322) = 0.4231`

So, the discrete probability distribution is:

`\begin{array}{cc}{Status} & {Probability} & {1} & {0.0845} & {2} & {0.1127} & {3} & {0.1870} & {4} & {0.1927}& {5} & {0.4231} \ \end{array}`