3p.11 Know and interpret the characteristics of a binomial distribution Quiz: Pearson Edexcel Statistics, Unit 3

The 20 questions

1. In the binomial distribution notation B(n, p), what does the letter n represent?

   • Number of trials
   • Standard deviation
   • Mean value
   • Probability of success

2. What is the mean of a binomial distribution?

   • p(1 - p)
   • n + p
   • np
   • n / p

3. How many possible outcomes are required for each trial in a binomial model?

   • Infinite outcomes
   • Three outcomes
   • Four outcomes
   • Two outcomes

4. In the binomial notation B(n, p), what does p represent?

   • Total population
   • Probability of success
   • Number of trials
   • Standard deviation

5. Which of these is best modelled by a binomial distribution?

   • Vehicle speeds
   • Coin tosses
   • Daily rainfall
   • Heights of adults

6. In B(n, p), what does the parameter n represent?

   • Mean value
   • Sample variance
   • Probability
   • Number of trials

7. What is the mean of B(20, 0.25)?

   • 5
   • 0.05
   • 0.25
   • 20

8. Which condition is required for a binomial model?

   • Continuous data
   • Infinite trials
   • Discrete outcomes
   • Dependent events

9. A die is rolled 6 times and the number of sixes follows B(6, 1/6). How many sixes are expected?

   • 1
   • 0.5
   • 1/6
   • 6

10. A basketball player makes 70% of shots. Over 8 shots, how many makes are expected?

    • 5.6
    • 7
    • 8
    • 0.7

11. Which probability is for B(4, 0.5) to give zero successes?

    • 1/16
    • 1/2
    • 1/8
    • 1/4

12. A quality check tests 5 items, each faulty with probability 0.1. How many faulty items are expected?

    • 0.05
    • 0.5
    • 5
    • 0.1

13. Which condition is required to model a situation using a binomial distribution?

    • Fixed number of trials
    • Continuous data values
    • Infinite sample size
    • Zero probability of success

14. B(9, p) has mean 3.6. What is p?

    • 0.4
    • 3.6
    • 0.36
    • 0.6

15. A test has 10 questions each guessed with probability 0.25. How many correct guesses are expected?

    • 0.25
    • 7.5
    • 10
    • 2.5

16. Why must trials be independent in a binomial distribution?

    • Continuous data
    • Increasing variance
    • Symmetric shape
    • Constant probability

17. For B(8, 0.5), what is the expected mean?

    • 4
    • 8
    • 2
    • 0.5

18. What is the probability that all 5 trials succeed in B(5, 0.5)?

    • 1/25
    • 1/32
    • 1/10
    • 1/5

19. Why are GCSE binomial questions restricted to small values like n = 10?

    • Manual calculation
    • Infinite populations
    • Continuous normal curves
    • Unknown probabilities

20. What key condition must be met for trials in a binomial distribution?

    • Normal distribution
    • Zero correlation
    • Constant probability
    • Equal variance

Related quizzes

• Use collected data to calculate estimates of probabilities Quiz · 3p.01 · 20 questions
• Compare the probability of different possible outcomes using the 0–1 or 0–100% scale... Quiz · 3p.02 · 20 questions
• Use probability values to calculate expected frequency of a specified characteristic... Quiz · 3p.03 · 20 questions
• Use collected data and calculated probabilities to determine and interpret relative... Quiz · 3p.04 · 20 questions
• Compare experimental data with theoretical predictions to identify possible bias... Quiz · 3p.05 · 20 questions
• Recognise that experimental probability will tend towards theoretical probability as... Quiz · 3p.06 · 20 questions
• Use two-way tables, sample space diagrams, tree diagrams and Venn diagrams to... Quiz · 3p.07 · 20 questions
• Know and apply the formal notation for independent events Quiz · 3p.08 · 20 questions
• Know and apply the formal notation for conditional probability Quiz · 3p.09 · 20 questions
• Comment on the differences between experimental and theoretical values in terms of... Quiz · 3p.10 · 20 questions