SOLUTION: The probability distribution of the random variable X is shown in the accompanying table. x −10 −5 0 5 10 15 20 P(X = x) 0.25

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Question 926907: The probability distribution of the random variable X is shown in the accompanying table.
x −10 −5 0 5 10 15 20
P(X = x)
0.25 0.20 0.10 0.05 0.15 0.05 0.20
Find the following.
(a)
P(X = −10)

(b)
P(X ≥ 5)

(c)
P(−5 ≤ X ≤ 5)

(d)
P(X ≤ 20)

(e)
P(X < 5)

(f)
P(X = 3)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

x   P(x)

-10   .25

-5    .20

 0    .10

 5    .05

 10   .15

 15   .05

 20   .20 = 1

....

(a)  P(X = −10) = .25

(b) P(X ≥ 5)  = .05 + .15 + .05 +.20

(c) P(−5 ≤ X ≤ 5)  =  .20 + .10 + .05

(d) P(X ≤ 20) = 1

(e) P(X < 5)  = .10 + .20 + .25

(f) P(X = 3)  =  0