the power of statistics coursera weekly challenge 2 answers

Test your knowledge: Basic concepts of probability

1. Objective probability is based on personal feeling, experience, or judgment.

  • True
  • False

2. Fill in the blank: In statistics, a number between _____ is used to express the probability that an event will occur.

  • -1 and 1
  • -1 and 0
  • 0 and 1
  • 1 and 2

3. The probability of no snow tomorrow equals 1 minus the probability of snow tomorrow. This is an example of what rule of probability?

  • Multiplication rule
  • Division rule
  • Addition rule
  • Complement rule

Test your knowledge: Conditional probability

4. What is conditional probability?

  • The probability of a single random event occurring
  • The probability of two events occurring at the same time
  • The probability of an event occurring given that another event has already occurred
  • The probability of a highly unlikely event occurring

5. Suppose two events occur: The first event is drawing an ace from a standard deck of playing cards, and the second event is drawing another ace from the same deck. What term is used to describe these two events?

  • Subjective
  • Objective
  • Independent
  • Dependent

6. Fill in the blank: _____ probability is the updated probability of an event based on new data.

  • Prior
  • Posterior
  • Empirical
  • Classical

Test your knowledge: Discrete probability distributions

7. Which of the following statements describe continuous random variables? Select all that apply.

  • Continuous random variables take all the possible values in some range of numbers.
  • Continuous random variables are typically whole numbers.
  • Continuous random variables are typically negative numbers;
  • Continuous random variables are typically decimal values.

8. What probability distribution represents experiments with repeated trials that each have two possible outcomes: success or failure?

  • The binomial distribution
  • The normal distribution
  • The trinomial distribution
  • The Poisson distribution

Shuffle Q/A 1

Test your knowledge: Continuous probability distributions

9. The normal distribution has which of the following features? Select all that apply.

  • The curve is symmetrical on both sides of the center
  • The total area under the curve equals 4
  • The shape is a bell curve
  • The mean is located at the center of the curve

10. What does the empirical rule state?

  • For a dataset with a normal distribution, 33.3% of values fall within 1 standard deviation of the mean, 33.3% of values fall within 2 standard deviations of the mean, and 33.3% of values fall within 3 standard deviations of the mean.
  • For a dataset with a normal distribution, 68% of values fall within 1 standard deviation of the mean, 95% of values fall within 2 standard deviations of the mean, and 99.7% of values fall within 3 standard deviations of the mean.
  • For a dataset with a normal distribution, 100% of values fall within 1 standard deviation of the mean.
  • For a dataset with a normal distribution, 50% of values fall within 1 standard deviation of the mean, 30% of values fall within 2 standard deviations of the mean, and 20% of values fall within 3 standard deviations of the mean.
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