Cont. Probability & Uniform Distribution

Which of the following values would be included in the continuous probability function below?

• 20.00001

• 10.03265

• 22.16548

• 19.36236

• 0.00002

Match each of the continuous probability distributions to the probability that is shaded.

• P(2 ≤ x ≤ 4)

• 
• P(x ≥ 7)

• 
• P(6 ≤ x ≤ 7)

• 

Consider the continuous probability distribution below.

What is 𝑃(100 ≤ 𝑥 ≤ 900)?

• 1

• 0

• 0.0004

• 0.10

Consider the continuous probability distribution below. Which of the following probabilities would be LESS than the shaded probability?
Select all that apply.

• P(2 ≤ x ≤ 7)

• P(7 ≤ x ≤ 8)

• P(4 ≤ x ≤ 7)

• P(3 ≤ x ≤ 4)

• P(6 ≤ x ≤ 8)

Match each of the following uniform distributions with the correct value of 𝑓(𝑥).

• 1/2

• 
• 1/6

• 
• 1/5

• 
• 1/4

• 

f(x)

• 1/250

• 1/150

• 1/200

1. 𝑃(𝑥 ≤ 50)

• -1

• 0

• 1

1. 𝑃(𝑥 ≥ 200)

• -1

• 0

• 1

1. 𝑃(50 ≤ 𝑥 ≤ 200)

• -1

• 0

• 1

During study hall next to this uniform distribution, you make a note that

reads “𝑃(𝑥 = 30) = (1/20) ”

A classmate stops you and suggests you are incorrect. Should you believe them?

• Yes, you should believe your classmate. Uniform distributions are a type of continuous distribution, and you see in yesterday’s notes that you wrote the probability at exactly any point is equal to zero.

• No, you should not believe your classmate. You double check your arithmetic and everything looks good!

• No, you should not believe your classmate. They’re probably just trying to mess with you.

Answer explanation