Question

X 16 17 18 19 20 P(x) 0.2 0.1 0.2 0.1 0.4 Given the discrete probability distribution above, determine the following:

P(x≥17) = ?

Answer 1

The probability that x is greater than or equal to 17, denoted as P(x≥17), is the sum of the probabilities for x=17, x=18, x=19, and x=20, which equals 0.8.

Step-by-step explanation:

To find P(x≥17), we need to sum the probabilities of x being 17 or greater from the given discrete probability distribution. The probabilities provided for x are 0.2 for x=16, 0.1 for x=17, 0.2 for x=18, 0.1 for x=19, and 0.4 for x=20. Thus, the calculation for P(x≥17) should include the probabilities of x being 17, 18, 19, and 20.

The sum of those probabilities is:

P(x≥17) = P(x=17) + P(x=18) + P(x=19) + P(x=20)

P(x≥17) = 0.1 + 0.2 + 0.1 + 0.4

P(x≥17) = 0.8