Question

Consider the following discrete probability distribution.

x	−15	−5	15	20
P(X = x)	0.52	0.13		0.16

.	Complete the probability distribution. (Round your answer to 2 decimal places.)

P(X = 15)

c.	What is the probability that the random variable X is positive? (Round your answer to 2 decimal places.)

Probability

d.	What is the probability that the random variable X is greater than −10? (Round your answer to 2 decimal places.)

Probability

e.	What is the probability that the random variable X is less than 20? (Round your answer to 2 decimal places.)

Probability

Answer 1

Part B)

P(X = 15) = ?

x	−15	−5	15	20
P(X = x)	0.52	0.13	0.19	0.16

We know that sum of probability = 1

P(X=-15) +P(X=-5) +P(X=15) +P(X=20) = 1

P(X=15) = 1-0.52-0.13-0.16 = 0.19 Ans

Part C

Probability that the random variable X is positive?

P(X=15) +P(X=20) = 0.19 + 0.16 = 0.35

Part D

Probability that the random variable X is greater than −10?

P(X=-5) +P(X=15) +P(X=20) = 0.13+0.19 + 0.16 = 0.48

Part E)

probability that the random variable X is less than 20

P(X=-15) +P(X=-5) +P(X=15) = 0.52+0.13+0.19 =0.84