Analyze Discrete Random Variables

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.

State whether it is Discrete or Continuous;

The speed of a car

• Discrete

• Continuous

Is the distribution below a probability distribution? Why or why not?

• Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
• No, not all P(x) values are between 0 and 1.
• No, ∑P(x) ≠ 1.

State whether it is Discrete or Continuous;

A film critic's rating of a film, 0 to 4 stars

• Discrete

• Continuous

Which one of these variables is a continuous random variable?

• The time it takes a randomly selected student to complete an exam.
• The number of tattoos a randomly selected person has.
• The number of women taller than 68 inches in a random sample of 5 women. 
• The number of correct guesses on a multiple choice test. 

• 336

• 56

• 8/5

• 40,320

Choose the correct sign

'probability that X exceeds 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability that X is no more than 7'

• P(X>7)

• P(X<7)

• P(X≥7)

• P(X≤7)

Choose the correct sign

'probability between 4 and 9'

• P(4<X<9)

• P(4<X≤9)

• P(4≤X≤9)

• P(4≤X<9)

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250