d. the probability of x being no less than a:\np(x ≤ a)\np(x > a)\np(x = a)\np(x < a)\np(x ≥ a)\ne. the…

d. the probability of x being no less than a:\np(x ≤ a)\np(x > a)\np(x = a)\np(x < a)\np(x ≥ a)\ne. the probability of x being more than a:\np(x ≤ a)\np(x ≥ a)\np(x = a)\np(x > a)\np(x < a)\nf. the probability of x being exactly a:\np(x ≤ a)\np(x > a)\np(x ≥ a)\np(x < a)\np(x = a)

d. the probability of x being no less than a:\np(x ≤ a)\np(x > a)\np(x = a)\np(x < a)\np(x ≥ a)\ne. the probability of x being more than a:\np(x ≤ a)\np(x ≥ a)\np(x = a)\np(x > a)\np(x < a)\nf. the probability of x being exactly a:\np(x ≤ a)\np(x > a)\np(x ≥ a)\np(x < a)\np(x = a)

Answer

Explanation:

Step1: Interpret "no less than"

The phrase "no less than" means greater than or equal to. So the probability of $X$ being no less than $a$ is $P(X\geq a)$.

Step2: Interpret "more than"

The phrase "more than" means strictly greater than. So the probability of $X$ being more than $a$ is $P(X > a)$.

Step3: Interpret "exactly"

The probability of a random - variable $X$ being exactly $a$ is $P(X = a)$.

Answer:

d. $P(X\geq a)$ e. $P(X > a)$ f. $P(X = a)$