HMK4.docx - MGSC 2301 – Statistics HMK#4 – Chapter 5 –...

MGSC 2301 – Statistics
HMK#4 – Chapter 5 – Discrete Probability Distributions
(12 questions, 35 sub questions, around 3 points each)
1. Consider the following discrete probability distribution.
x 15 22 34 40
P ( X = x ) 0.16 0.50 0.20 0.14
a. Is this a valid probability distribution?
b. What is the probability that the random variable X is less than 40? (Round your answer to 2
decimal places.)
c. What is the probability that the random variable X is between 14 and 29? (Round your answer to
2 decimal places.)
d. What is the probability that the random variable X is greater than 17? (Round your answer to 2
decimal places.)
2. Consider the following cumulative probability distribution.
x 0 1 2 3 4 5
P ( X ≤ x ) 0.12 0.35 0.45 0.68 0.85 1
a. Calculate P ( X ≤ 3). (Round your answer to 2 decimal places.)
b. Calculate P ( X = 4). (Round your answer to 2 decimal places.) c. Calculate P (1 ≤ X ≤ 3). (Round your answer to 2 decimal places.)
3. A basketball player is fouled while attempting to make a basket and receives two free throws.