Module4 Quantitative Methods

Which of the following is a characteristic of a discrete random variable?

• A) It can take on an infinite number of values within an interval

• B) It is always normally distributed

• C) It can only take on specific, countable values

• D) It is defined over a continuous interval

The expected value of a random variable is:

• A) The value that occurs most frequently

• B) The midpoint of the range of the variable

• C) A weighted average of all possible values the variable can take

• D) The square root of the variance

Which of the following is NOT a property of the normal distribution?

• A) It is symmetric about the mean

• B) The total area under the curve is 1

• C) It is defined only for positive values

• D) It is completely described by its mean and standard deviation

In a binomial distribution, the probability of success is denoted by:

• A) μ

• B) p

• C) σ

• D) λ

What is the variance of a random variable X if all values of X are equal to the same constant c?

• A) 0

• B) c

• C) 1

• D) Cannot be determined

Which of the following is a key assumption of a binomial distribution?

• A) The number of trials is infinite
  

• B) Each trial has a different probability of success
  

• C) Trials are independent and have two possible outcomes
  

• D) The outcomes follow a normal distribution

In a binomial distribution with parameters n and p, the mean is given by:

• A) np(1−p)

• B) np(1−p)\sqrt

• C) n+p

• D) np

What type of variable is modeled by a binomial distribution?

• A) Continuous
  

• B) Categorical
  

• C) Discrete
  

• D) Ordinal

Which of the following scenarios can be modeled using a binomial distribution?

• A) Rolling a die and recording the number

• B) Measuring the height of randomly selected people

• C) Counting the number of heads in 10 coin tosses

• D) Recording the time it takes to complete a task

In a binomial experiment, what does the parameter n represent?

• A) The probability of success

• B) The total number of possible outcomes

• C) The number of trials
  

• D) The number of successes