Question

The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the mean.
1
2
3
4
5
6
P(x)
0.14
0.16
0.12
0.14
0.13
0.31
A. = 3.5
OB. u = 3.8
O C. 1 = 0.2
OD. u = 3.9

Answer 1

Answer:

Mean = 3.9

Step-by-step explanation:

Given

The above table

Required

Determine the mean

The mean is calculated as thus:

Mean = Summation of x * P(x)

So, we have:

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

Mean = 3.89

Mean = 3.9 (approximated)

Answer 2

The mean should be 3.9.

Calculation of the mean;

Here the following formula should be used:

Mean = Summation of x * P(x)

So,

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

= 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

= 3.89

= 3.9

Therefore, we can conclude that The mean should be 3.9.

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