Answer:
Mean = 1.5
Step-by-step explanation:
We are given a table of probability distribution of students the numbers of hours studied.
We need to find the mean of the probability distribution.
Formula of mean = sum of product of probability and random distribution value.
[tex]\text{Mean}=\sum X_i\times P(X_i)[/tex]
[tex]\text{Mean}=0.5\times 0.07+1\times 0.2+1.5\times 0.46+2\times 0.2+2.5\times 0.07[/tex]
Now we will calculate the mean
[tex]\text{Mean}=0.035+0.2+0.69+0.4+0.175[/tex]
[tex]\text{Mean}=1.5[/tex]
Thus, Mean of the given table is 1.5
