Answer:
X=1, P = 0.091
X=2, P = 0.124
X=3, P = 0.115
X=4, P = 0.378
X=5, P = 0.264
X=6, P = 0.028
Step-by-step explanation:
To calculate the probability distribution of X, first we have to define the sample space.
In this case X=1,2,3,4,5,6. This are the values that X can take.
The probability is calculated as equal to the relative frequency of each of the values.
For X=1, P = 364/4000 = 0.091
For X=2, P = 496/4000 = 0.124
For X=3, P = 460/4000 = 0.115
For X=4, P = 1512/4000 = 0.378
For X=5, P = 1056/4000 = 0.264
For X=6, P = 112/4000 = 0.028