Question

Consider the following data: x −4−4 −3−3 −2−2 −1−1 00 P(X=x)P(X=x) 0.20.2 0.30.3 0.10.1 0.20.2 0.20.2 Copy Data Step 4 of 5 : Find the value of P(X≥−1)P(X≥−1). Round your answer to one decimal place.

Answer 1

Answer:

$P(x\geq -1) = 0.4$

Step-by-step explanation:

We are given the following in the question:

x:                −4       −3       −2      −1       0

P(X=x):        0.2      0.3      0.1     0.2     0.2

We have to evaluate

$P(x\geq -1)$

Since it is a discrete probability distribution as

$\displaystyle\sum P(X=x_i) = 0.2 + 0.3 + 0.1 + 0.2 + 0.2 = 1$

We can evaluate the probability as:

$P(x\geq -1) = P(x = -1 + P(x = 0)\\P(x\geq -1) = 0.2 + 0.2\\P(x\geq -1) = 0.4$

Thus, 0.4 is the require probability.