Let be x the random variable
a)
If we need the probability of x when it is not more than a, we can write it using inequalities as below
[tex]x\le a[/tex]Notice that x can be equal to a but no more than a
And the probability is then
[tex]P(x\le a)[/tex]So, the answer to question a) is the 4th option
b) 'x being at least a' can be written using inequalities in this way:
[tex]x\ge a[/tex]Notice that x can be equal to a, but not less than a
Therefore, the probability is given by the expression
[tex]P(x\ge a)[/tex]So, the answer to question b) is the last option
