Question

Consider the following discrete probability distribution. x −15      −5      15      20      P(X...

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   

Homework Answers

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

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